Degree Program Documentation Master’s degree program Department of Civil, Geo and Environmental Engineering, Technical University of Munich

Name: Computational Mechanics

Administrative responsibility: TUM Department of Civil, Geo and Environmental Engineering

Degree: Master of Science (M.Sc.), (with possible distinction “with Honours”)

Standard Duration of Study & Credits:

4 Semester 120 ECTS credit points (CP)

Form of Study: Full-time

Admission: Aptitude test pursuant to the program’s FPSO

Start: Winter semester 2000/2001

Language of Instruction: English

Degree Program Coordinator Prof. Dr.-Ing. Fabian Duddeck (Academic counseling) Degree Program Coordinator (Organization) Examination board: Prof. Dr.-Ing. Kai-Uwe Bletzinger Prof. Dr.-Ing. Fabian Duddeck Prof. Dr.-Ing. Michael Manhart Prof. Dr.-Ing. Gerhard Müller Prof. Dr. rer. nat. Ernst Rank

Additional information for special degree programs:

Distinction “with Honours” through additional elite program of the Bavarian Graduate School of Computational Engi-neering possible

Contact for further questions re-garding the degree program (this) documentation:

Felix Schneider, M.Sc., 089-289-28393, felix.w.schneider@tum.de

Documentation version/status as of:

18.11.2019

Dean of Studies Signature

2

Content

1. Degree Program Objectives .............................................................................................. 3

1.1. Purpose of the Degree Program ................................................................................... 3

1.2. Strategic Significance of the degree program................................................................ 4 1.2.1. Construction ............................................................................................................. 5 1.2.2. Infrastructure ............................................................................................................ 5 1.2.3. Environment ............................................................................................................. 6 1.2.4. Planet Earth ............................................................................................................. 6 1.2.5. Classification of the degree program ........................................................................ 7

2. Qualification Profile ........................................................................................................... 9

3. Target Groups ................................................................................................................. 10

3.1. Target Groups ............................................................................................................. 10

3.2. Program Prerequisites ................................................................................................ 10

3.3. Target Numbers .......................................................................................................... 11

4. Analysis of Need ............................................................................................................. 15

5. Competitive Analysis ....................................................................................................... 19

5.1. External Competitive Analysis ..................................................................................... 19

5.2. Internal Competitive Analysis ...................................................................................... 20

6. Structure of the Degree Program ..................................................................................... 21

7. Organization and Coordination ........................................................................................ 24

8. Resources ....................................................................................................................... 26

8.1. Staffing Resources ..................................................................................................... 26

8.2. Material Resources/Rooms ......................................................................................... 26

9. Advancements................................................................................................................. 27

Annex .................................................................................................................................. 28

A. List of staffing resources of the compulsory and compulsory elective modules ................ 28

B. Schedule of Courses 1st Semester ................................................................................. 30

C. Schedule of Courses 2nd Semester ................................................................................ 31

D. Schedule of Courses 3rd Semester ................................................................................. 32

3

1. Degree Program Objectives

1.1. Purpose of the Degree Program

Computational mechanics is a constantly growing field with impact on both science and industry in

all areas of engineering. It is concerned with solving mechanical problems on the basis of numerical

approximation methods, involving discretization of the underlying equations in space and time. Now-

adays, related skills are indispensable in civil and mechanical engineering, for the design of auto-

mobiles and spacecrafts, for developments in biomechanics and micro-electro-mechanical systems.

Virtually all technical disciplines make use of the fast progress in this area.

Computational mechanics brings together highly sophisticated methods of theoretical, applied and

structural mechanics, as well as computer science, software engineering and applied mathematics.

Being familiar with the scientific background of this fascinating field opens the door to employment

in virtually all fields of engineering.

The rapid development of computers and the therewith connected technologies makes the practical

computation of scientific phenomena possible which haven’t been ascertainable yet. In the future an

engineer, being familiar with Computational Mechanics, is demanded to have a consolidate

knowledge in mechanics, mathematics and computer sciences more than today. A strong back-

ground in Computational Mechanics opens up a successful career in many fields of engineering.

The interdisciplinary education conveys the ability to find innovative, creative and efficient solutions

for the individual case and in consideration of the given time frame and budget. Computational mod-

eling and simulation of physical processes as supplement to experimental methods are about to

become an everyday tool, available at relatively low cost. The methods used in the field of Compu-

tational Mechanics are the future-oriented techniques a modern engineer needs.

Typical applications are for example, in

• Civil Engineering: new materials, nonlinear and dynamical structural behavior, interaction be-

tween building and environment, structural optimization and form finding, estimation of fatigue

strength, transient behavior, flow-simulations, coupling of CAD and computing, information and

internet technology.

• Mechanical and Automotive Engineering: 3-D-structural analysis, nonlinear dynamics, optimiza-

tion, multibody dynamics, crash, acoustics, and airbags.

• Aerospace Engineering: fluid-structure-interaction, structural optimization, supersonic flight, high

temperature exposure in the aerospace, active dampers, stratosphere balloons.

4

• Biomechanics and Medical Engineering: material models (e.g. bones, tissues), prostheses, im-

plants, artificial blood vessels.

The Master’s Degree Program in Computational Mechanics of Technical University of Munich (TUM)

will provide graduates with the necessary knowledge and skills to deal with these challenges. The

program is organized by the chair of Computation in Engineering, Structural Analysis and Structural

Mechanics and the Institute for Hydromechanics and Computational Mechanics. The curriculum of

modules encompasses, among others,

• continuum mechanics, structural mechanics and theory of stability

• structural and fluid dynamics

• applied mathematics and functional analysis

• computer science, programming and software engineering

• linear and non-linear finite element methods

• structural and multidisciplinary optimization

• modelling and simulation

• networking, distributed and parallel computing

A graduate with a M.Sc. in COME is able to work in many different areas as she/he gains a deep

understanding in mechanics, programming and modeling and simulation. She/He can start a career

e.g. as software engineer or as design/ calculation/ simulation engineer, respectively.

1.2. Strategic Significance of the degree program

In its mission statement, the Technical University Munich is committed to promoting innovation in all

scientific fields that promise to improve the quality of life and cohabitation in the long term. The

responsibility owed to future generations forms the basis for the interdisciplinary focal points of health

& nutrition, energy & natural resources, environment & climate, information & communications, mo-

bility & infrastructure.

The TUM Department of Civil, Geo and Environmental Engineering, including its central mission

statements Construction – Infrastructure – Environment – Planet Earth, plays a leading role in cov-

ering interdisciplinary research fields and therefore contributes to the appeal and the international

reputation of TUM.

5

1.2.1. Construction

The subject of construction plays a special role because building and living are one of the most basic

of human requirements as well as being an important industrial sector and important cultural good.

The aim is to use sustainable materials and techniques to apply construction methods that approach

the ideal scenario: minimum consumption of resources with minimum emissions during the erection,

operation, rebuilding and demolition of a construction. The main focal points are the optimization of

construction principles, durability management, biogenic building substances and materials, reduc-

tion of emissions created during building work, and refurbishment and upgrading. Most of the con-

structions in civil engineering are prototypes. Therefore, simulation has always been a key issue for

engineers in that field. The Master’s Degree Program in Computational Mechanics focuses on mod-

ern numerical, mechanical simulation methods which help in the design process of constructions to

reach the ideal scenario of the department. It deepens the knowledge and competences in these

methods compared the Master’s Degree Program in Civil Engineering.

1.2.2. Infrastructure

Today, the traffic issue is more than just the creation of a traffic infrastructure. Efficient, environmen-

tally-friendly and safe operation of traffic systems is growing in importance. Traffic planning is in-

creasingly becoming a design and management task within an overall complex system that com-

prises both passenger and freight traffic as well as all other carriers. A functional high-performing

traffic system is a prerequisite for economic development. If traffic is considered as an overall sys-

tem, it becomes apparent that this sector is immensely important for the economy (e.g. the traffic

budget is the largest of the state’s individual budgets).

The central theme 'Mobility, Transport and Traffic' reflects the department’s mission statement well

and is suitable for cross-faculty networking offering opportunities to publically present this engineer-

ing profession as a modern and interdisciplinary field. The central theme focusses on enhancing the

classic traffic engineer training program to make traffic engineering an interdisciplinary and system-

orientated profession; this also necessitates a shift in focus toward the basic and application re-

search field. The structured approach is based on combining the network of teaching and research

competence distributed among the various departments at the university to make use of the available

resources, to serve the established professional degree programs and research fields, and to open

up new combined teaching and research fields by procuring additional resources. One central ele-

ment of this concept is the development of a knowledge network as a public-private partnership with

participants from industry, public offices and science fields

6

1.2.3. Environment

One of the central issues addressed by the Technical University of Munich is the combined topic of

environment and energy which is also one of the leading topics on the international agenda. Dealing

with natural hazards and catastrophe prevention, i.e. the issue of "Preparedness" (more generally

referred to as disaster and risk management) based on complex information, prevention and inter-

vention is extremely important for the built-up and natural environment and is therefore a social,

ecological and economic priority. This subject represents a precautionary contribution to sustainable

environmental protection and the management of environmental problems.

Innovation results from the unique networking of the disciplines that previously merely existed along-

side each other. In the foreseeable future this will greatly benefit the state, communes, the economy

and society in general.

Inevitably, the socioeconomic aspects are pivotal for many essential research issues. The goal is to

develop a continuous concept from one source for various risk areas such as flooding, food and

water scarcity, landslides and mass movements etc. In this connection, the development of a dy-

namic system and handling concept in the shape of a complex expert system on the topic of envi-

ronmental risk management is planned.

The simulation methods taught in the Master’s Degree Program in Computational Mechanics are

obligatory for the assessment of environmental risks.

1.2.4. Planet Earth

The task of the earth system sciences is to record dynamic changes and processes in and on the

earth, the oceans and the atmosphere and to model their mutual interactions.

As these processes are global phenomena, it is essential to look at the system in a global way. To

this end a growing number of earth observation satellites are used, e.g. the remote sensing satellite

ENVISAT or the geodetic-geophysical satellites CHAMP and GRACE. These kinds of satellite ob-

serve the composition of the atmosphere, the sea level, the ice cover at the poles, the vegetation

structure across the continents, the Earth’s gravitation and magnetic field and lots more besides.

Earth science satellite missions are heavily influenced by geodesy. Firstly, by the photogrammetry

measuring procedures, remote sensing and the visualization of the results (cartography), and sec-

ondly by establishing important basic principles for other disciplines. The realization of global coor-

dinate systems and their interconnection with systems fixed in space (in which the satellite positions

are defined) form the basis of all measurements and analyses.

7

At the TUM Department of Civil, Geo and Environmental Engineering the Institute for Astronomical

and Physical Geodesy and the Institute of Photogrammetry and Cartography are working on realiz-

ing, analyzing and using various satellite missions – not just for observing the Earth but also for

interplanetary missions e.g. to Mars. This involves close cooperation to applied subjects such as

geophysics or oceanography, but also to engineering subjects such as mechanical engineering and

electrical engineering that look at the orbit and position of the satellites, the sensors used or pro-

cessing the collated raw data. The simulation methods of Computational Mechanics are especially

important in this field of engineering, because also satellites are usually prototypes or are produced

at least at low quantities.

1.2.5. Classification of the degree program

Orientated on its mission statement, the TUM Department of Civil, Geo and Environmental Engi-

neering offers a wide range of degree programs that cover the individual aspects and allow the

graduates to prepare in a targeted manner for their future work in science, research or commerce

environments.

8

Figure 1: Degree programs offered at TUM Department of Civil, Geo and Environmental Engineering

The degree program is positioned at the interface between various engineering disciplines and offers

interested engineering graduates the opportunity to specialize in the interface subject of computer-

aided mechanics. Merging the various engineering disciplines creates an interdisciplinary atmos-

phere which is of huge benefit to the students. Likewise, the shared element of computer-aided

mechanics has a high appeal for international applicants. The inter-departmental element is very

apparent in the curriculum. Anchoring the degree program in the TUM Department of Civil, Geo and

Environmental Engineering, a department which focuses on transferring complex physical processes

to models in many areas, allows students from other disciplines a general overview of the funda-

mental engineering processes, in particular the design of unique models that do not allow the pre-

liminary production of prototypes or testing.

9

2. Qualification Profile

After a successful finishing of his/her studies, a Master of Science of Computational Mechanics has

developed a portfolio of knowledge skills and competences in the field of numerical simulation, mod-

eling of engineering problems for a consequent numerical simulation and a profound understanding

of mechanical problems.

The Masters of Science in Computational Mechanics have the competences to analyze engineering

problems and to transfer them into appropriate numerical models. These engineering problems can

be from virtually all fields of engineering, as already mentioned in section 1 “Degree Program Ob-

jectives”. The graduates got all key competences in this process, which means they are able to

evaluate the

• model assumptions linked with limitations of models

• artefacts created during the modelling and evaluations process

• possible expansions of models for problems where the model assumptions might be violated

• numerical techniques to solve the engineering problems with the help of the developed models.

They derive ideas in engineering work as far as optimization of engineering products is concerned

and are able to assess selected software tools. Therefore, they make scientifically founded decisions

and can critically reflect the consequences.

The graduates are able to apply selected software and to get auto-didactically acquainted with new

software products for numerical simulations.

Especially the module “Software Lab” trains to work independently on application-oriented projects.

Moreover, also other project works aim to enhances communications skills in groups with both aca-

demics and non-academics from various disciplines. The Graduates are able to identify the conflict

potential in a collaborative process and can develop solutions if conflicts arise.

The graduates are able to classify

• different types of modeling,

• artefacts in simulations.

They apply and evaluate

• complex principles in programming, including parallel computing, software development,

10

• underlying partial differential equations for various engineering problems, mainly from solid and

fluid mechanics

• assumptions for material description for a huge variety of different materials as well as

• assumptions for low and high frequent analysis.

All this Knowledge allows the graduates to design research questions in the field of Computational

Mechanics and to find the answers on this questions. Therefore, the graduates can select the ap-

propriate research methods and document and critically reflect the research results in sound manner.

All in all, the graduates develop a professional self-understanding based on the objectives and stand-

ards of professional action in academia and society. They can justify their actions based on their

academic knowledge and competences. Thereby they always assess their own abilities and know

how to develop them further.

3. Target Groups

3.1. Target Groups

The master’s program of Computational Mechanics focuses on national and international bachelor’s

graduates in the fields of Civil or Mechanical Engineering who are especially interested in the link

between the various fields of mechanics and engineering applications. It thus provides the possibility

for students of civil engineering to obtain insights into other fields in engineering and to establish

contact to other types of industries outside of civil engineering. On the other hand, it provides a link

for students coming from mechanical engineering towards special topics in civil engineering, e.g.

structural dynamics, hydromechanics. Furthermore, the program is open to students of other engi-

neering bachelor programs as long as these programs provide a comparable base in mathematics,

mechanics and informatics as the TUM Bachelor programs in Civil or Mechanical Engineering. It

thus can be considered as an interdisciplinary program bridging different engineering fields with the

common basis of computational mechanics.

3.2. Program Prerequisites

The master’s program Computational Mechanics requires a strong background in engineering, struc-

tural and/or applied mechanics and good skills in mathematics and informatics. The selection of the

students is done very carefully in the scope of an aptitude assessment of each application in order

to reduce the number of drop-outs. Furthermore, as the standards of the international universities

11

various strongly the selection of the students is based on statistical data obtained by comparing the

grade point average of the student’s Bachelor studies and the master’s studies at TUM.

Figure 2: Rate of graduations and drop-out

Thus, correction factors were determined in the last 15 years which allow to evaluate the international

degrees correctly. The quality of the selection process is proofed by the reduction of dropout rate

from 18% to 0 - 7% in the last years as depicted in Figure 2. This helps to estimate the competences

in the above mentioned core disciplines correctly in the scope of the aptitude assessment. A GPA

above 2,5 (converted according to the so called Bavarian formula into the German grading system)

gives an important benefit in the aptitude assessment. The better the GPA, the bigger is the benefit.

Moreover, applicants need to prove their skills in English language (at least level C1 according to

the European framework). They need to explain their motivation for the studies in Computational

Mechanics with the help of a short letter and need to provide at least one recommendation of one of

their professors.

3.3. Target Numbers

The degree program Computational Mechanics is designed for approximately 25-30 students per

intake. The limiting elements are on the one hand side infrastructure as far as computer rooms are

concerned (currently 35 working places) and the individual support of the students. Nevertheless,

the number of students increases with the increasing number of application. Currently 35-40 students

are enrolled, which leads unfortunately sometimes too crowded lecture rooms. There is an enormous

82%89% 91% 91%

88% 89% 89%85%

90% 97% 97%100%

93%100%

86%

95%

0%

10%

20%

30%

40%

50%

60%

70%

80%

90%

100%

Dropout

Graduates

12

interest for the degree program, which requires a competitive pre-selection out of more than 500

students among which approximately 60 (depending on the quality of the applications) are admitted

to the program. Figure 3 shows the evaluation of the numbers of applications, the admitted students

and the freshmen starting the program over time. In general, all number have grown, which empha-

sizes the growing popularity of the topic of the degree program. Due to the internet boom (esp. social

media), information about this program gets spread faster around the world than in the beginning of

the program. This fact attracts, together with the abolishment of study fees in Bavaria, more and

more international applicants. Unfortunately, many of these additional applications cannot meet the

challenging prerequisites of the program. Therefore, the number of applications have grown much

faster than the number of additions and freshmen. Especially the number of applications of Indian,

Iranian, Pakistani, Turkish, Chinese and German applicants grew in the last years.

Figure 4 shows the number of applicants per country considering the intakes WS 2011/2012 – WS

2015/2016. The most Applications come by far from India. But also Pakistan, Iran, Turkey and China

provide a remarkable amount of applications. Germany is on rank 6 regarding the number of appli-

cations.

Since the program’s beginning in the winter semester 2000/2001 up to the winter semester

2015/2016, 421 students out of 56 different countries started the program. The majority of the stu-

dents come from Europe (50 %) and Asia (36 %) as shown in Figure 5, right. Approx. 80 percent of

the students enrolled are international (see Figure 5, left).

Since the establishment of the Bachelor-Master system at TUM the number of German applicants

has increased. The exact distribution of students per country is given in Table 3.

Figure 3: Number of applications, admissions and freshmen

0

100

200

300

400

500

600

700

Online Application Applications (hard copy) Admissions Freshmen

13

Figure 4: Home countries of the applicants (WS 2011/12 - WS 2015/16)

569

190

177

98

97

72

55

46

40

32

21

20

19

17

16

14

14

14

11

11

10

10

9

8

8

8

6

6

6

5

5

4

4

4

4

4

4

4

3

3

3

3

3

3

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

0 100 200 300 400 500 600

IndiaIran

PakistanChina

TurkeyGermany

BangladeshGreeceMexico

EgyptRussian Federation

ItalyLebanon

ColombiaSpainNepal

NigeriaRomania

Taiwan (Republic of China)Ukraine

Rebublic of KoreaUnited States of America (USA)

SyriaEcuador

IndonesiaThailandAustraliaBulgaria

SudanBrazil

UzbekistanBelarus (White Russia)

Costa RicaFrance

HungarySerbia

United KingdomVenezuelaAzerbaijan

CanadaEthiopia

JordanPoland

PortugalAfghanistan

AlbaniaAlgeriaAustria

CameroonChile

Dominican RebpublicEstoniaGhana

IraqKazakhstanMacedonia

MoroccoPalestine

PeruSri Lanka

1 applicant/country

ArmeniaBoliviaBrunei DarussalamBurkina FasoCote d'Ivoire (Ivory Coast)CroatiaCyprusEl SalvadorFinlandGuatemalaHondurasIcelandIsraelKenyaLatviaMadagascarMalaysiaMauritiusMontenegroMyanmarNorwayOmanPanamaSaudi ArabiaSingaporeSlovakiaSloveniaStatelessSwitzerlandTajikistanTunesiaTurkmenistanVietnamYemen

14

Figure 5: Left: National/international distribution of COME students. Right: Continental distribution of COME students (Data

from intakes WS 2000/2001 – WS 2015/2016)

Asia Africa Europe South America North/Central America Oceania

Afghanistan 1 Algeria 1 Austria 1 Bolivia 1 Canada 5 Australia 2

Bangladesh 7 Egypt 6 Bosnia Herzeg. 2 Brazil 3 El Salvador 1 China 40 Ghana 1 Bulgaria 2 Chile 3 Mexico 22 India 17 Libya 1 France 2 Columbia 4 USA 8 Indonesia 4 Morocco 1 Germany 80 Ecuador 2 Iran 36 Namibia 1 Greece 26 Iraq 1 Hungary 4 Japan 1 Iceland 1 Jordan 1 Italy 8 Lebanon 2 Latvia 7 Malaysia 1 Macedonia 1 Nepal 3 Netherlands 1 Pakistan 22 Romania 6 Singapore 2 Russia 6 South Korea 1 Serbia 3 Sri Lanka 1 Slovakia 1 Syria 2 Spain 8 Thailand 6 Sweden 1 Vietnam 2 Turkey 43 United Kingdom 2 Ukraine 4

Table 1: Home countries of the COME students (WS 2000/2001 – WS 2015/2016)

International81 %

German19 %

36%

3%

50%

3% 9%

0%

Asia

Africa

Europe

South America

North/Central America

Oceania

15

4. Analysis of Need

The labor market for the masters in Computational Mechanics is very broad, employment possibili-

ties are Civil and Mechanical Engineering companies as well as research institutions and software

developers. The analysis of need as well as the competitive analysis in section 5 is based on two

surveys of in total 87 graduates of the program between 2002 and 2016 of the program The surveys

took place in March 2012 (74 participants) and in July 2018 (13 participants). Unfortunately, esp. the

second survey cannot be considered representative due to the very low number of respondents. In

the following mean values of the two surveys are presented. Some questions haven’t been asked in

2018. Results based just on the survey from 2012 are presented in this case and are marked ac-

cordingly. Table 2 gives an overview over the number of graduates participating in each survey.

None of these graduates had problems in finding a job on the labor market.

Date of

Sur-vey

Graduates / Year

2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 Not speci-fied

March 2012

1 7 4 3 5 4 15 7 9 10 9

July 2018

1 2 1 2 1 4 1 1

Table 2: Number of graduates per year who participated in the alumni survey

Table 3 shows typical companies where the graduates are demanded (based on the Survey in 2012).

Furthermore the majority of the graduates, i.e. 69%, starts working in Germany after graduation while

just 28% return to their home countries as shown in Figure 6. This is a great success in consideration

of the fact that approx. 76% of the students come from abroad (survey 2012: 80%; survey 2018:

54%) and proofs the high demand of the graduates at the German labor market. Besides, 42% (sur-

vey 2012: 46%; survey 2018: 16%) of the 87 graduates who participated in the surveys stated that

they continued with doctoral studies after graduation, among them 14 graduates at TUM. Table 4

gives an overview of the universities where the graduates found a doctoral position.

16

Automotive & Aviation industry Civil Engineering Simulation Engineering and Consulting

Airbus, Spain Airbus, Hamburg Audi AG, Ingolstadt Bertrandt AG, Germany BMW, Germany Daimler-Crysler EADS, Munich EDAG Engineering & Design, Ingolstadt Ford Motor Company ABG, Germany Krauss-Maffei Wegmann GmbH & Co KG Magna Steyr, Germany MAN Truck and Bus AG Mercedes-Benz Research & Develop., India TRW Automotive

Zilch + Müller Ingenieure GmbH, Munich Matrics Engineering GmbH, Munich MT Højgaard, Denmark

Altair Engineering GmbH, Munich P+Z Engineering, Munich Simolution GmbH, Munich Siemens AG

Mechanical and Plant Engineering Software Development & Engineering

BAUER Maschinen GmbH, Schrobenhausen BOSCH F.X. Meiller GmbH, Spain Max Streicher GmbH Schaeffler Holding (China) Co., Ltd. MTU

AnyBody Technology, Denmark ATCSim GmbH, Kaufbeuren CADFEM, India Enosis Solution, Bangladesh ESG Elektroniksystem- und Logistik-GmbH SOFiSTiK AG

Research and Development Semiconductor Industry

Deutsches Zentrum für Luft- & Raumfahrt / Bombardier Transportation Kordsa Global, Turkey TUM-IMETUM-Forschungsgruppe CAPS-Computer Aided Plastic Surgery

ASM Pacific Technology Ltd. Infineon Technologies AG

Others

Viering, Jentschura & Partner; Munich

Table 3: Labor market (based on survey 2012)

Figure 6 : Countries where the graduates are employed

69%

28%

3%

Countries

Germany

home country

elsewhere

17

Europe Germany

CIMNE, Barcelona Cranfield University, United Kingdom Imperial College London Istanbul Technical University, Turkey Katholieke Universiteit Leuven (2x) Middle East Technical University, Ankara Paderborn University University of Cambridge

BTU Cottbus (2x) Ruhr-Universität Bochum Technische Universität München (13x) University of Stuttgart

USA

Louisiana Tech University, Louisiana Washington University in St. Louis

Table 4: Universities where graduates found doctoral positions (besides TUM) based on survey 2012

The master students in Computational Mechanics cope with a new type of engineer on a borderline

between various disciplines, as mechanical and civil engineering, informatics and mathematics

Therefore, they are prepared for different areas and topics, e.g. engineering in the automotive or

aerospace industry, in engineering companies in the area of structural dynamics, acoustics, pollution

control or in the classical fields of civil engineering with a special focus on structural analysis.

Figure 7: Academic background from Bachelor studies of COME students based on survey 2012

Figure 7 shows the academic background of the COME students from their bachelor’s. This can be

compared with Figure 8 which shows the fields of engineering in which the students were employed

after graduation. The survey shows that the program’s curriculum attracts applicants from different

43%

33%

10%

7%3%

3% 1%

Academic background

Mechanical Engineering

Civil Engeneering

Applied/Computational Mechanics

Aerospace Engineering

Autmotive Engineering

Mechatronics

Naval Architecture

18

fields of engineering as well as allows the graduates to work in various fields of engineering. Whereas

approx. 90% of the students have a background in the traditional fields of engineering such as civil,

mechanical, aerospace engineering and applied mechanics, the graduates are employed in even

more various fields like Simulation or Develop Engineering or Multi Body Dynamics.

Figure 8: Industry sector of employment for COME students after graduation

9%

11%1%

3%

18%

1%

57%

Employment

Mechanical Engineering

Civil Engeneering

Applied/Computational Mechanics

Aerospace Engineering

Automotive Engineering

Mechatronics

Others *

39%

16%

13%

6%

6%

5%

1%

1% 1%1%

1%

1%1%1%

1%1%

1%

Others* Simulation Engineering

Research (University: Post-doc, professor)

Research Department (Industry)

Developement Engineering

IT

Militaray Industry

Biomechanical Engineering

CAE Engineer

Computational Mechanics

Mechanical Process Engineering

Multi Body Dynamics

Patent Engineer

Power Plant Technology

Railway Industry

Risk analysis (Oil industry)

Test and Analyses

Trenchles Technology

19

5. Competitive Analysis

5.1. External Competitive Analysis

In Germany exists a continuously increasing number of currently 8 international (English taught)

master’s programs in the field of Computational Mechanics, Computational Engineering and Com-

putational Sciences (www.hochschulkompass.de) at universities and one at an applied university:

Program Degree University Town Form of Study

Uni

vers

ity

Computational Mechanics of Materials and Structures

M.Sc. University of Stuttgart Stuttgart full-time

Computational Engineering M.Sc. Ruhr-Universität Bochum Bochum full-time

Computational Engineering M.Sc. Friedrich-Alexander-Universität Er-langen-Nürnberg

Erlangen full-time

Computational Science and Engineering

M.Sc. Technische Universität München München full-time

Computational Mechanics M.Sc. Technische Universität München München full-time

Computational Mechanical Engineering

M.Sc. Bergische Universität Wuppertal Wuppertal full-time

Computational Science and Engineering

M.Sc. Technische Universität Braun-schweig

Braun-schweig

full-time

Appl

ied

U

nive

rsity

Applied Computational Mechanics (part-time)

M.Eng. Technische Hochschule Ingolstadt in cooperation with the University of Applied Science Landshut and the European School of CAE Technology

Ingolstadt/ Landshut

part-time

Table 5: Related programs

All the programs have in common that they have an interdisciplinary curriculum combining informat-

ics and problems in science and engineering. However, contrary to other programs the master’s

program Computational Mechanics of TUM concentrates on a solid theoretic education in general

mechanics which is needed for solving problems in different fields of Engineering. Another difference

to other programs is the link to civil engineering which is very valuable as civil engineers have to

deal with unique structures not permitting physical tests during their development. As already shown

in Figure 8 the program’s curriculum attracts applicants from different fields of engineering as well

as allows the graduates to work in various fields of engineering.

According to the graduate survey referred to in section 4 enquiries carried out the most important

reasons for choosing the master’s program Computational Mechanics are the good reputation of

TUM, the interest in the program’s curriculum and the uniqueness of the program as illustrated in

20

Figure 9. Furthermore, alumni of the program who are spread all over the world are excellent am-

bassadors for the master’s program Computational Mechanics and recommend it to their compatri-

ots.

Figure 9: Reasons for choosing the master’s program Computational Mechanics, based on graduate survey 2012

5.2. Internal Competitive Analysis

The Master of Science in Computational Mechanics at TUM is a unique international degree program

without comparable degree programs at TUM. In spite of the partial overlap with specific specializa-

tions of the master’s program Civil Engineering, the curriculum of the master’s program Computa-

tional Mechanics is significantly complemented with specific offers. On the other hand, the degree

program profits enormously from the events held by the relevant specialization areas of the master´s

programs Civil and Environmental Engineering. In the master´s program Civil Engineering some of

the lectures are held in English. Therefore, a conscious decision was made to run the respective

degree programs in joint groups. Firstly, to encourage the students to mingle and get to know each

other better (which is especially for the high number of international students in COME important)

and secondly, to run the degree program with few additional resources.

Focusing on the methods of Computational Mechanics allows the students to reach higher compe-

tences in this field compared to civil engineering students. This is also emphasized by the curriculum,

which contains modules which are either designed for this program (like “Software Lab”) or are im-

ported form the departments of mathematics, informatics or mechanical engineering (like “Bio Fluid

Mechanics”, “Scientific Visualization”, “Functional Analysis”) Thus the outreach of the graduates to

industries and research entities far beyond civil engineering is considerably enlarged.

46%

39%

15%

Reputation of TUM

Program's Curriculum

No comparable international program

21

6. Structure of the Degree Program

The standard duration of study of the master’s program Computational Mechanics is four semesters

consisting out of three semesters of course work and one semester for the master’s thesis. The

program has in total 120 ECTS credit points (CP), the three semesters and the master´s thesis each

worth 30 CP credits. The 90 CP credits achieved through modules are divided into 36 CP credits of

compulsory modules, 24 credits of compulsory elective modules and 30 CP credits of elective mod-

ules. A general degree chart is depicted in Figure 10.

4. S

emes

ter

120

CP90

CP Functional

Analysis & Computational Linear Algebra

Computational Material

Modelling 2

Parallel Computing

Structural Optimization

Elective courses

6 CP 6 CP 6 CP 6 CP 12 - 18 CPin total 30 ECTS

60 C

P Computational Fluid Dynamics

Finite Element Methods 2

Structural Dynamics

Theory of Plates and Shells

Elective courses

6 CP 6 CP 6 CP 6 CP 12 - 18 CP

30 C

P Computation in Engineering 1

Computational Material

Modelling 1

Continuum Mechanics

Finite Element Methods 1

Advanced Fluid Mechanics

6 CP 6 CP 6 CP 6 CP 6 CP

Compulsory Courses

Software Lab Project with focus

on one of the specializations

6 CP

Compulsory elective courses: Choose 2 out of 4 Modules

Compulsory elective courses: Choose 2 out of 4 Modules

1. S

emes

ter

Master’s Thesis at any Chair involved in Computational Mechanics or related industry

30 CP

3. S

emes

ter

2. S

emes

ter

Compulsory Courses

Figure 10: General degree chart

The academic background of the students of Computational Mechanics varies greatly. By means of

the compulsory modules taught at the first semester the students are able to reach the same level

of expertise required for successful study and above all to tailor the needs of industry and research.

After participating in the modules Computation in Engineering 1, Computational Material Modelling

1, Continuum Mechanics, Finite Element Mechanics 1 and Advanced Fluid Mechanics the students

gain a solid background in mechanics and informatics (core competences). For more information

about the contents and the typical course of the modules, please have a look into our module de-

scriptions).

The module Software Lab is an interdisciplinary team project (3-6 students) which links the analysis

and solution of engineering problems and the development of software components by processing

a complex software project (industrial or research projects). Thus, in addition to the methodical and

professional competences, the students can enhance their social competences.

Besides the compulsory modules, in the second and third semester the students have to choose 2

out of 4 modules listed the catalogue of compulsory elective modules (see FPSO or direct link:

http://www.bgu.tum.de/en/come/studying/curriculum/ ). These compulsory elective modules are re-

quired to specialize the fields of interest of the students by simultaneously maintaining a clear degree

22

program profile. Two exemplary degree chars for students with a focus on fluid mechanics or a focus

on solid mechanics are shown in Figure 11 and Figure 12.

The elective modules allow getting a wide knowledge in different disciplines as they can be chosen

also from other related TUM schools or departments as civil engineering, mechanical engineering or

informatics. As most companies in Germany require at least basic language skills, the students are

also allowed to select a German language course as elective module.

The list of possible elective modules is subject to change in order to meet the requirements of the

industry and the fields of interest of the students. It can be found (always up to date) on the webpage

of the program. (Direct link: http://www.bgu.tum.de/en/come/studying/curriculum/ ).

The master’s thesis takes 6 months and can be written either at the chairs involved in Computational

Mechanics or in cooperation with industry or other academic partners (i.e. Frauenhofer Institute).

The master’s thesis often opens the doors to a PhD-position at the university or a job offer in industry

after graduation.

4. S

emes

ter

30 C

P Exams per

Semester

31 C

P Parallel Computing Optimization

Structural Wind Engineering

Modeling and Simulation of

Turbulent Flows

Scientific Visualization 6

Written Exam Written Exam Project Work Written Exam Written Exam

6 CP 6 CP 6 CP 6 CP 4 CP

29 C

P Computational Fluid Dynamics

Structural Dynamics

FE-Method for Fluid-Structure Interaction with

OSS

Computation in Engineering 2

Biofluid Mechanics

6Project Work

(Examination in 3rd Semester)

Written Exam + Presentation

Written Exam Project Work Written Exam Written Exam

6 CP 6 CP 6 CP 3 CP 6 CP 5 CP

30 C

P Computation in Engineering 1

Computational Material

Modelling 1

Continuum Mechanics

Finite Element Methods 1

Advanced Fluid Mechanics 6

Written Exam + Coursework:

ExercisesWritten Exam Written Exam Written Exam Written Exam

6 CP 6 CP 6 CP 6 CP 6 CP

1. S

emes

ter

Master’s Thesis at any Chair involved in Computational Mechanics or related industry

30 CP

3. S

emes

ter

2. S

emes

ter

Compulsory Courses

Elective courses

Elective coursesCompulsory elective

Compulsory electiveCompulsory

Courses

Software Lab with focus on one of

the specializations

Figure 11: Exemplary degree chart with focus on fluid mechanics (types of assessments in italics)

23

4. S

emes

ter

30 C

P Exams per

Semester

30 C

P Computational Material

Modelling 2

Structural Optimization

Stability of Structures

Stochastic Finite Element Methods

Structural Wind Engineering

6

Written Exam Written Exam Written Exam Oral Examination Project Work

6 CP 6 CP 3 CP 6 CP 6 CP

30 C

P Structural Dynamics

Finite Element Methods 2

Isogeometric Analysis and

Design

Computation in Engineering 2 Risk Analysis 1

6

Project Work(Examination in 3rd Semester)

Written ExamProject Work + Written Exam Written Exam Written Exam Oral Examination

6 CP 6 CP 6 CP 3 CP 6 CP 6 CP

30 C

P Computation in Engineering 1

Computational Material

Modelling 1

Continuum Mechanics

Finite Element Methods 1

Advanced Fluid Mechanics 6

Written Exam + Coursework: Excercises

Written Exam Written Exam Written Exam Written Exam

6 CP 6 CP 6 CP 6 CP 6 CP

Elective Courses

Compulsory Courses

Compulsory Courses

1. S

emes

ter

Master’s Thesis at any Chair involved in Computational Mechanics or related industry

30 CP

3. S

emes

ter

2. S

emes

ter

Compulsory elective

Compulsory elective

Software Lab Project with

focus on one of the

specializations

Elective Courses

Figure 12: Exemplary degree chart with focus on solid mechanics (types of assessments in italics)

Appendix B-D contains the schedule of courses of the first to the third semester (as of March 2015)

stating the rooms and lectures. The exercises connected to the lecturers are read by the respective

scientific assistants of the respective chair. The names of the scientific staff (NN) will be stated at

the start of the semester via the Campus Management System TUMonline.

Studies Abroad

Modules in the field of Computational Mechanics which are obtained during the master’s program at

another university (e.g. during an international exchange) can be recognized up to 30 ECTS credit

points.

TUM is offering five different types of exchange programs:

• Erasmus-Program (studies within Europe)

• TUMexchange (studies outside Europe)

• EU Mobility Programs (studies in selected regions outside the European Union (EU))

• ATHENS (one-week courses within Europe)

24

These exchange programs are also available for the Computational Mechanics students. Especially

the ATHENS program - which is offered twice a year - attracted many of the COME students in the

last years.

DTU – TUM 1:1 MSc program

In 2006 Technical University of Denmark (DTU) and TUM entered the European University Alliance

in Science and Technology – a contract between universities of excellence. Together the universities

have developed a novel concept for English taught two-year Master of Science programs called 1:1

MSc programs because the students spend one year at each university (DTU and TUM). Since 2010

a 1:1 MSc program in Computational Mechanics is offered. Each Master of Science program con-

sists of four semesters. This represents a workload equivalent to 120 ECTS credit points. The DTU-

TUM 1:1 MSc program is a single degree program where the graduate obtains a diploma from either

TUM or DTU depending on where the student is enrolled. Starting at TUM the academic degree

"Master of Science" (M.Sc.) is awarded upon successful completion of the Computational Mechanics

degree program. Based on a recommended degree chart, each student admitted to the DTU-TUM

1:1 MSc degree program works out an individual curriculum together with the responsible supervi-

sors at the partner universities. The final curriculum has to be approved by the respective DTU-TUM

1:1 Program Committee. The student composes a master's thesis of 30 ECTS credit points. The

thesis work is supervised by two researchers (one from each university). The thesis is presented at

the university where the thesis work was done in the presence of both supervisors and an external

examiner. Admission requirements to join the DTU – TUM 1:1 MSc program are:

• Students starting the 1:1 program at TUM must be enrolled in the COME master’s program.

• Eligibility must be demonstrated by a successful completion of the compulsory modules of the

first semester and an above-average grade point average.

7. Organization and Coordination

The master’s program Computational Mechanics is offered by the TUM Department of Civil, Geo

and Environmental Engineering and this department is also responsible for the degree program.

Following chairs are mainly involved in the teaching of the degree program:

• Computation in Engineering (Prof. Rank)

• Structural Analysis (Prof. Bletzinger)

• Computational Mechanics (Prof. Müller)

As well as the institutes:

25

• Computational Mechanics (Prof. Duddeck)

• Hydromechanics (Prof. Manhart)

As it is an interdisciplinary degree program many other chairs and departments of the TUM are

involved. Table 6 shows the persons in charge for the administrative coordination of the program.

Administrative Unit Responsibility

Dean of Studies Prof. Dr.-Ing. Stephan Freudenstein

Degree Program Designee Prof. Dr.-Ing. Gerhard Müller

Departmental Student Advisor Felix Schneider, M.Sc.

Corinna Schmaußer, M.Sc.

Degree Program Coordinator Felix Schneider, M.Sc.

Corinna Schmaußer, M.Sc.

Aptitude Assessment (EV)

Felix Schneider, M.Sc.

Corinna Schmaußer, M.Sc.

Examination Board (see below)

Admissions Management SSZ: Student Admission

Student Academic Advising SSZ: Student Advising and Prospective Student

Programs

Room Allocation Mrs. Manuela Schillo

Examination Management Mrs. Christine Göppel

Quality Management and Evaluation Prof. Dr.-Ing. Stephan Freudenstein

Quality Circle Dipl.-Ing. Sandra Spindler

Departmental Committee for Student Affairs Head: Prof. Dr.-Ing. Stephan Freudenstein

Officer of the Dean of Studies Dr. Lars Fuchs

Dipl.-Ing. Sandra Spindler

Examination Board

Prof. Dr.-Ing. Gerhard Müller (Head)

Prof. Dr.-Ing. Kai-Uwe Bletzinger

Prof. Dr.-Ing. Fabian Duddeck

26

Administrative Unit Responsibility

Prof. Dr.-Ing. Michael Manhart

Prof. Dr. rer. nat. Ernst Rank

(Secretary of the board: Mrs. Göppel)

International Affairs Delegate Mrs. Nadine Klomke

Table 6: Organization and Responsibilities

8. Resources

The master’s program Computational Mechanics is organized efficiently by the participating chairs

using the existing human and material resources of the department as shown in the following.

8.1. Staffing Resources

The staffing resources are listed in the appendix A. Imported modules form other schools or depart-

ments of TUM are aligned and documented via Letters of Intent, also listed in the appendix. There

is enough staffing as well as administrative resources provided from the department to run the de-

gree program

Degree program coordinators have been appointed for the degree program to organize and manage

the aptitude assessment procedure and to assume a key student counselling role.

The departmental committee for student affairs is organized as part of the academic self-administra-

tion by colleagues in the department.

8.2. Material Resources/Rooms

The Master ‘s degree program Computational Mechanics utilizes the available resources as far as

the computer working places are concerned. We would be very helpful to accompany a provider

classroom for the students. This is currently not possible due to limiting factors at the university.

• Tutorials, Seminars: The tutorials are in general organized by the research assistants of the re-

sponsible chairs. Furthermore, seminars or exam preparation classes given by students can be

financed with the help of study funds.

• Teaching positions: Additional teaching positions are not planned at the moment.

27

• Education and teaching materials like e.g. Whiteboards, Laptops, Beamer, etc. are sufficiently

available at the university.

• Lecture rooms, Computer rooms, work spaces for the students: The lectures of the Computational

master’s program are given in the lecture rooms of the main campus of the TUM. The CIP-pools

are the three Computer rooms of the TUM Department of Civil, Geo and Environmental Engineer-

ing which can be booked by the chairs of the department for lectures and free training units. All

registered students are allowed to use the computer rooms during the booked lectures (see:

TUMonline) and for their free practicing when they are not booked. Mainly the CIP-pool 3238 (35

work stations) is used where the operating system is installed in English. The CIP-pools 3209,

3238, N0199a (each with 35 work stations) of the TUM Department of Civil, Geo and Environ-

mental Engineering can be used by the Computational Mechanics students for self-studies and

team work.

9. Advancements

The program has been adapted to changing boundary conditions several times since its foundation

in the year 2000. As the boundary conditions change continuously, also the program has to be mod-

ified continuously. The boundary conditions are defined by the requisites of the Bavarian Universitisy

Act (German: Bayerisches Hochschulgesetz, BayHSchG). The specifications enacted by the Ger-

man Standing Conference of the Ministers of Education and Cultural Affairs (German: Kultusminis-

terkonferenz, KMK) and the accreditation. Examples for recently adapted boundary conditions are

the maximum number of examinations per semester or minimum number of credits per module.

Furthermore, issues formulated by students (and their representatives) in different boards of the

faculty (Studienkommission, Fakultätsrat, Qualitätszirkel) are discussed and finally brought into the

structure of the program.

28

Annex

A. List of staffing resources of the compulsory and compulsory elective modules

II. Required Human Resources

Module Category of StaffModule Name Lecture Name Type Swh Name Chair Dep.

Introduction to Programming in C++ L 0.5 Prof. Dr.-Ing. Stefan Kollmannsberger Computation in Engineering BGU

Introduction to Programming in C++ T 0.5 RA NN Computation in Engineering BGU

Computation in Engineering 1 L 2 Prof. Dr.-Ing. Stefan Kollmannsberger Computation in Engineering BGU

Tutorial Computation in Engineering 1 T 1 RA NN Computation in Engineering BGU

Vorlesung Material Mechanics L 2 Prof. Prof. Dr.-Ing. Fabian Duddeck Fachgebiet Computational Mechanics BGU

Seminar Material Mechanics S 1 RA NN Fachgebiet Computational Mechanics BGU

Vorlesung Material Modelling L 2 Prof. Prof. Dr.-Ing. Fabian Duddeck Fachgebiet Computational Mechanics BGU

Seminar Material Modelling S 1 RA NN Fachgebiet Computational Mechanics BGU

Continuum Mechanics LI 4 Prof./RA Prof. Dr.-Ing. Gerhard Müller/NN Lehrstuhl für Baumechanik BGU

Seminar Continuum Mechanics S 1 RA NN Lehrstuhl für Baumechanik BGU

Introduction to Finite Element Methods LI 4 Prof./RA Dr.-Ing. Roland Wüchner/NN Lehstuhl für Statik BGU

FE-Modelling, Simulation and Validation S 2 RA NN Fachgebiet Computational Mechanics BGU

Colloquium Introduction to FEM C 1 RA NN Lehrstuhl für Statik BGU

Advanced Fluid Mechanics Fluid Mechanics LI 4 Prof./RA Prof. Dr.-Ing. Michael Manhart/NN Fachgebiet Hydromechanik BGU

Software Lab P 2 Prof./RA Prof. Dr. rer. nat. Ernst Rank /NN Computation in Engineering BGU

Software Lab P 2 Prof./RA Prof. Dr. rer. nat. Ernst Rank /NN Computation in Engineering BGU

Computation in Engineering 1

I. Curriculum of the program III: Availabe Human Resources

Lectures of the Module Lecturer

Compulsory Modules

L= Lecture; T = Tutorial; LI= Lecture with integrated Tutorial S = Seminar; P = Practical Training; C= Colloquium; RA = Research Assistant; Dep. = Department; BGU = Civil, Geo and Environmental Engineering; MA = Mathematics

Computational Material Modeling 1

Continuum Mechanics

Finite Element Methods 1

Software Lab

29

II. Required Human Resources

Module Category of StaffModule Name Lecture Name Type Swh Name Chair Dep.

Computational Fluid Dynamics L 2 Prof. Prof. Dr.-Ing. Michael Manhart Fachgebiet Hydromechanik BGU

Computational Fluid Dynamics Lab T 2 RA NN Fachgebiet Hydromechanik BGU

Nonlinear Finite Element Methods L 2 Prof. Prof. Dr.-Ing. Kai-Uwe Bletzinger Lehrstuhl für Statik BGU

Advanced Finite Element Methods L 2 RA Dr.-Ing. Roland Wüchner Lehrstuhl für Statik BGUColloquium Advanced Finite Element Methods

C 1 RA NN Lehrstuhl für Statik BGU

Structural Dynamics LI 4 Prof./RA Prof. Dr.-Ing. Gerhard Müller/NN Lehrstuhl für Baumechanik BGU

Seminar Structural Dynamics S 1 RA NN Lehrstuhl für Baumechanik BGU

Theory of Plates L 2 Prof. Prof. Dr.-Ing. Kai-Uwe Bletzinger Lehrstuhl für Statik BGU

Seminar Theory of Plates S 2 RA NN Lehrstuhl für Statik BGU

Theory of Shells L 2 Prof. Prof. Dr.-Ing. Kai-Uwe Bletzinger Lehrstuhl für Statik BGU

Tutorial Theory of Shells T 2 RA NN Lehrstuhl für Statik BGU

Computational Plasticity L 2 Prof. Prof. Dr.-Ing. Fabian Duddeck Fachgebiet Computational Mechanics BGU

Fracture and Damage L 2 Prof. Prof. Dr.-Ing. Fabian Duddeck Fachgebiet Computational Mechanics BGU

Introduction to Functional Analysis L 2 RA Dr. rer. Nat. Heinz-Jürgen FladLehrstuhl für Höhere Mathematik und Analytische Mathematik MA

Computational Linear Algebra L 2 RA Dr. rer. nat. Ralf Mundani Computation in Engineering BGU

Structural Optimization 1 L 2 Prof. Prof. Dr.-Ing. Kai-Uwe Bletzinger Lehrstuhl für Statik BGU

Seminar Structural Optimization 1 S 1 RA NN Lehrstuhl für Statik BGU

Colloquium Structural Optimisation C 1 RA NN Lehrstuhl für Statik BGU

Structural Optimization 2 L 2 Prof. Prof. Dr.-Ing. Fabian Duddeck Fachgebiet Computational Mechanics BGU

Seminar Structural Optimization 2 S 1 RA NN Fachgebiet Computational Mechanics BGU

Parallel Computing Parallel Computing LI 4 Prof./RA Dr. rer. nat. Ralf Mundani/RA Computation in Engineering BGU

L= Lecture; T = Tutorial; LI= Lecture with integrated Tutorial S = Seminar; P = Practical Training; C= Colloquium; RA = Research Assistant; Dep.=Department; BGU = Civil, Geo and Environmental Engineering; MA = Mathematics

Compulsory Elective Modules of Category A: Choose 2 out of 4 Modules

I. Curriculum of the program III: Availabe Human Resources

Lectures of the Module Lecturer

Functional Analysis and Computational Linear Algebra

Optimization

Computational Fluid Dynamics

Finite Element Methods 2

Structural Dynamics

Theory of Plates and Shells

Compulsory Elective Modules of Category B: Choose 2 out of 4 Modules

Computational Material Modeling 2

30

B. Schedule of Courses 1st Semester

Monday Tuesday Wednesday Friday8.00 Advanced Fluid Mechanics Introd. to Finite Element Methods Continuum Mechanics and

(comp.) (comp.) Tensor Analysis (comp.)8.30 (Manhart) (Wüchner) (Müller)

0220 N 1070 N 10909.00

*belongs to the Module "Finite Element Methods 1"

9.30Advanced Fluid Mechanics Computation in Engineering 1 Continuum Mechanics and

10.00 (comp.) (comp.) Tensor Analysis (comp.)(Manhart) (Kollmannsberger) (Müller)

10.30 0606 CIP-Pool 3238 / later 1601 N 1090

11.00

11.30 Tutorial Fluid Mechanics Exercises to (comp.) Computation in Engineering 1

12.00 (Manhart) (comp.)1760 (Kollmannsberger)

12.30 you have to visit only one of these tutorials CIP-Pool 3238 / later 1601 per week

13.00Theory of Plates* Introd. to Finite Element Methods FE-Modelling, Simulation

13.30 (comp. el.) (comp.) & Validation (comp.)(Bletzinger) (Wüchner) (Duddeck)

14.00 N1090 0602 cip pool 3238*belongs to the Module "Theory of Plates and Shells" *belongs to the Module "Finite Element Methods 1"

14.30 *belongs to the Module "Finite Element Methods 1"

15.00 Continuum Mechanics Seminar Tutorial Fluid Mechanics (comp.) (comp.)

15.30 (Becker) (Manhart)N1070 2770

16.00 not every week, you have to visit only one of these tutorials

dates will be announced in lecture per week

16.30Tutorial Theory of Plates*

17.00 (comp. el.)(Bletzinger)

17.30 N1179/3238*belongs to the Module "Theory of Plates and Shells"

18.00

18.30

Statik (Bletzinger) Baumechanik (Müller) Bauinformatik (Rank) Hydromechanik (Manhart) Fakultät für InformatikZentrum Mathematik Risikoanalyse und Zuverlässigkeit (Straub) Fachgebiet COME (Duddeck)comp. = compulsory el. = elective comp.el. = compulsory elective

(Manhart)N1039

you have to visit only one of these tutorials

per week

Tutorial ComputationalMaterial Modelng (comp.)

(Duddeck)2100

(comp.)

Computational Material Modeling 1 (comp.)

(Duddeck)2100

Tutorial Fluid Mechanics

2100

Thursday

Computational Material Modeling 1 (comp.)

(Duddeck)

31

C. Schedule of Courses 2nd Semester

8.00

8.30 Computer Computation in Aided Engineering II

9.00 Design (el.)(el.) Kollmannsberger

9.30 Kollmannsberger/Kudela CIP-Pool 3238CIP-Pool 3238 Start: 23.04.2018 High Order FEs & Computational Fluid Modeling in

10.00 only 09.&16.04.2018 Isogeom. Analysis Dynamics Structural AnalysisOptional introduction (el.) Biofluid Mechanics (comp.el) (el.)

10.30 course for the module Kollmannsberger (el.) -Tutorial- (Course in German)Comp. in Engineering II 2370 Hu Manhart Bletzinger

11.00 MW 1639 CIP-Pool 3238 CIP-Pool N0199(Garching, Forschungsz.)

11.30

12.00

12.30

13.00

13.30

14.00

14.30

15.00 Isogeometric Comp. Engineering Structural Analysis in Ind. Development

15.30 Estimation of and Design and Design Rare Events and (el.) (el.)

16.00 Failure Probabilities Wüchner Nübel(el.) 2605 3202

16.30 Bismut, Papaioannou Start 04.05.2018Ind. Appl. of Integral Transform 0406 Computer Aided Explicit FEMs & Artificial Intelligence four events

17.00 Structural Mech. 1 Methods Design Transient Analysis in Engineering (el.) (el.) (el.) (el.) (el.)

17.30 Katz Müller Kolmannsberger/Kudela -Tutorial- Bügler2601 N1090 CIP-Pool 3238 Duddeck CIP-Pool N0199

18.00 23.04 - 11.06.2018 only 11.&18.04.2018 2601

18.30 Optional introduction course

for the module Computation

19.00 in Engineering 2

19.30

Statik (Bletzinger) Baumechanik (Müller) Hydromechanik (Manhart)Aerodyn. & Fluid Mechanics (Adams) Comp. Modeling and Simulation (Borrmann)comp. = compulsory comp. el. = compulsory elective

Turbulent Flows (comp. el.) (comp.el) (el.)(el.) -Lecture- -Lecture- -Tutorial-

Monday Tuesday Wednesday Thursday FridayModeling and Simulation of Theory of Shells Computational Fluid Dynamics Advanced FEMs

belongs to the 6 ECTS-Module: Theory of Plates and Shells

Manhart Bletzinger Manhart WüchnerCIP-Pool 3238 N 1070 2770 Dates and location are announced in lecture

Bletzinger MundaniN1070 2601

belongs to the 6 ECTS-Module: FEM2

Nonlinear FEMs Algorithms & Data Structures(comp. el.) (el.)-Lecture- -Lecture-

(comp. el.) (comp. el.) (el.) (el.)-Tutorial- -Tutorial- Bletzinger Müller

Theory of Shells Nonlinear FEMs Membrane Workshop Technical Acoustics I

Please refer to the deteiled schedules in Moodle Please refer to the detailed schedules in Moodle

Bletzinger Bletzinger 2605 N1070CIP-Pool 3238 or N1095 CIP-Pool 3238 or N1070

Structural Dynamics Modeling and Simulation of Advanced FEMs Explicit FEMs & Transient Analysis Professional(comp. el.) Turbulent Flows (el.) (el.) Software

Taddei (el.) -Lecture- -Lecture- Development2601 Manhart Wüchner Duddeck (el.)

2100 2605 2601 Borrmannbelongs to the 6 ECTS-Module: FEM2 CIP-Pool 3238

(comp. el.) Car Body Design AidedTaddei (el.) Design

Structural Dynamics Computational Mechanics for Computer

CIP-Pool 3238only 13.&20.04.2018

2601 Duddeck (el.)2601 Kollmannsberger/Kudela

0120some single events

anouncement in Moodlebelongs to the 6 ECTS Module:

Seminar Structural Dynamics Optional introduction

(comp.el.) course for the module

Rodriguez Comp. in Engineering II

the second part:

"Industrial Applications of Structural

"Industrial Applications of Structural Mechanics,

Dynamics and Multiphysics";

Bauinformatik (Rank)Risikoanalyse und Zuverlässigkeit (Straub) Computational Mechanics (Duddeck)el. = elective

Dynamics and Multiphysics II"

is offered in the WT

32

D. Schedule of Courses 3rd Semester

8.00

8.30

9.00

9.30

10.00

10.30

11.00

11.30 Computational Stochastic FEMLinear Algebra* (el.)

12.00 (comp.el.) (Papaioannou)(Mundani) N2619

12.30 N1090*belongs to the module "Functional Analysis

13.00Vibroacoustics Lab Ind. Applications

13.30 (el.) in Vibroacoustics(Lutzenberger) (Lutzenberger)

14.00 N1090 N1090

14.30 Oct. 19th - Dec. 7th Dec. 14th - Feb. 8th

15.00 Egineering Seminar Structural Databases Optimization 1*

15.30 (el.) (comp. el.) Risk Analysis Structural Wind(Borrmann) (Bletzinger) (el.) Engineering 2nd part of the

16.00 N0199 N1090 (Straub) (el.) module "Signal Processing

*belongs to the N1070 (Wüchner) and Measurements"

16.30 Module "Optimization" 15:00-18:15 260515:00-19:00

17.00

17.30

18.00

18.30

19.00

19.30

Statik (Bletzinger) Baumechanik (Müller) Bauinformatik (Rank) Hydraulik (Manhart) Fakultät für InformatikZentrum Mathematik Risikoanalyse und Zuverlässigkeit (Straub) Fachgebiet COME (Duddeck) CMS (Borrmann)comp. = compulsory el. = elective comp. el. = compulsory elective

Monday Tuesday Wednesday Thursday FridayComp. Plasticity* Stochastic FEM Exercises to Computational Lin. Algebra

N1039 0406 3238*belongs to the Module "Comp. Material Modeling 2"

(comp. el.) (el.) (comp.el)(Duddeck) (Papaioannou) (Mundani)

Parallel Computing Fracture and Damage* Introduction to Functional Analysis Stochastic FEM(comp. el.) (comp. el.) (comp. el.) (el.)(Mundani) (Duddeck) (Flad) (Papaioannou)

1260 N1039 2770 N2619*belongs to the Module "Functional Analysis and

*belongs to the Module "Comp. Material Modeling 2" Computational Linear Algebra"

(Taddei)N1090

Soil Vibrations(el.)

and Computational Linear Algebra"

Tech. Acoustics 2 Parallel Computing (el.)(el.) (comp. el.) (Westermann)

(Müller) (Mundani) MW0001

Scientific Visualization

N 1039 2607 Garching*2nd part of the Module 13:00 - 16:00

Stability of Structures Structural Optimization 1*(el.) (comp. el.)

(Greim) (Bletzinger)

Technical Acoustics

Industrial Applications Seminar Structural Optimization 2* Structural Optimization 2* Computational Engineering

N1095 0601

*belongs to the Module "Optimization"

(el.) 0601 N1039 (el.)(Katz) (Nübel)

of Structural Dynamics (comp. el.) (comp. el.) in Industrial Development& Multiphysics 2* (Duddeck) (Duddeck) and Design

Dez. 10th - Feb. 04th16:45-20:00h

2605 *belongs to the Module "Optimization" *belongs to the Module "Optimization" 3238

Structural Mechanics,

Dynamics and Multiphysics"

*2nd part of the 6 ECTS Module:

"Industrial Applications of