DoubleMaster’sDegreesprogrammebetweenMSc.inNumericalMethodsinEngineering(MNME)atBarcelonaSchoolofcivilEngineering(UPC)andComputationalMechanicsofMaterialsandStructures(COMMAS)atUniversityofStuttgart.

Semester1(Q1) Semester2(Q2) Semester3(Q3) Semester4(Q4)

UPCStudentsatUPC

UStuttgartStudentsatUStuttgart

UPCStudentsatUPC

UStuttgartStudentsatUStuttgart

UPCStudentsatUStuttgart

UStuttgartStudentsatUPC

UPCStudentsatUStuttgart

UStuttgartStudentsatUPC

CompulsoryModules:NumericalMethodsforPartialDifferentialEquations(5ECTS)FiniteElementMethod(5ECTS)ContinuumMechanics(5ECTS)AdvancedFluidMechanics(5ECTS)ComputationalMechanicsTools(5ECTS)Transversalmandatorymodules:CommunicationSkills1(5ECTS)Entrepeneurship(5ECTS)

CompulsoryModules:ContinuumMechanics(6ECTS)ComputationalMechanicsofMaterials(6ECTS)ComputationalMechanicsofStructures(6ECTS)DiscretizationMethodsandScientificProgramming(6ECTS)OptimizationofMechanicalSystems(3ECTS)EngineeringMaterialsI:Metals,Concrete,Soils(3ECTS)

CompulsoryModules:ComputationalSolidMechanics(5ECTS)ComputationalStructuralMechanicsandDynamics(5ECTS)FiniteElementsinFluids(5ECTS)Industrialtraining(15ECTS)

CompulsoryModule:CommunicationorientedmodulesfromLanguageCenter(6ECTS)ElectiveModules1

(24ECTS)

CompulsoryModules:ImplementationandAlgorithmsforFiniteElements(6ECTS)(=DomainDescompositionandLargeScaleScientificComputing,5ECTS)Transversalmandatorymodules:CommunicationorientedmodulesfromLanguageCenter(6ECTS)ElectiveModules(18ECTS)

CompulsoryModules:Industrialtraining(15ECTS)CommunicationSkills2(5ECTS)Entrepeneurship(5ECTS)AdvancedFluidMechanics(5ECTS)

Master’sThesis2(30ECTS)

Master’sThesis(30ECTS)

ECTS=35 ECTS=30 ECTS=30 ECTS=30 ECTS=30 ECTS=30 ECTS=30 ECTS=30

1)AcademicBoardwillreviewandguaranteetheequivalenceofelectivemoduleswithMNMEstudyplancompulsorycourses.2)MasterThesisdefencewillmeettheUPCrules.

ListofelectivemodulesattheUniversityofStuttgart ECTSSelectedTopicsintheTheoriesofPlasticityandViscoelasticity 6Elementsofnon-linearContinuumThermodynamics 6IntroductiontoContinuumMechanicsofPolyphaseMaterials 6GeometricalMethodsofNon-LinearContinuumMechanicsandContinuumThermodynamics 6MicromechanicsofSmartandMultifunctionalMaterials 6TheoreticalandComputer-OrientedMaterialsTheory 6OptimalControl 6ContinuumBiomechanics 6Non-linearDynamics 6FuzzyMethods 6AdvancedNumericsofPartialDifferentialEquations 6SimulationMethodsinPhysicsforSimTechI 6SimulationMethodsinPhysicsforSimTechII 6MultiphaseModelinginPorousMedia 6NumericalMethodsforDifferentialEquations 6NonlinearMethodsforDifferentialEquations 6NonlinearDynamicsofMechanicsSystems 6NonsmoothDynamics 6ImplementationandAlgorithmsforFiniteElements 6Introductiontomodelorderreductionofmechanicalsystems 6Non-linearComputationalMechanicsofStructures 6ComputationalMethodsforShellAnalysis 6MicromechanicsofMaterialsandHomogenizationMethods 6NumericalModelingofSoilsandConcreteStructures 6VisualizationinScienceandEngineering 6FoundationofContinuumThermodynamicsforSingle-andMultiphasicMaterials 6ComputationalContactMechanics 6ComputationalDynamicsforRobotics 6MetalsandComputationalMaterialsScience 6Simulationofmulti-phaseandmulti-scalematerialswithhomogenizationapproaches 6SimulationofcoupledproblemswiththeFiniteElementMethods 6VariationalmethodsinStructuralDynamics 6DataProcessingforEngineersandScientists 6

UPCstudents(FirstyearatUPC,secondyearatStuttgart) Coursesactuallytakenbystudent ECTS EquivalentcourseatMMNE(UPC) ECTS

Q1

NumericalMethodsforPartialDifferentialEquations 5 FiniteElementMethod 5 ContinuumMechanics 5 AdvancedFluidMechanics 5 ComputationalMechanicsTools 5 CommunicationSkills1 5 Entrepeneurship 5

Q2

ComputationalSolidMechanics 5 ComputationalStructuralMechanicsandDynamics 5 FiniteElementsinFluids 5 IndustrialTraining 15

Q3(*)

ImplementationandAlgorithmsforFiniteElements 6 DomainDecompositionandLargeScaleScientificComputing 5CommunicationorientedmodulesfromLanguageCenter 6 CommunicationSkills2 5Group1SelectedTopicsintheTheoriesofPlasticityandViscoelasticityElementsofnon-linearContinuumThermodynamicsIntroductiontoContinuumMechanicsofPolyphaseMaterialsGeometricalMethodsofNon-LinearContinuumMechanicsandContinuumThermodynamics

MicromechanicsofSmartandMultifunctionalMaterialsTheoreticalandComputer-OrientedMaterialsTheoryContinuumBiomechanicsNon-linearDynamicsMultiphaseModelinginPorousMediaMicromechanicsofMaterialsandHomogenizationMethodsFoundationofContinuumThermodynamicsforSingle-andMultiphasicMaterials

MetalsandComputationalMaterialsScienceSimulationofcoupledproblemswiththeFiniteElementMethods

6 CoupledProblems 5

Group2VisualizationinScienceandEngineeringComputationalDynamicsforRoboticsDataProcessingforEngineersandScientists

6 ProgrammingforEngineersandScientists 5

Group3OptimalControl

6 AdvancedDiscretizationMethods 5

FuzzyMethodsAdvancedNumericsofPartialDifferentialEquationsSimulationMethodsinPhysicsforSimTechISimulationMethodsinPhysicsforSimTechIINumericalMethodsforDifferentialEquationsNonlinearMethodsforDifferentialEquationsNonlinearDynamicsofMechanicsSystemsNonsmoothDynamicsIntroductiontomodelorderreductionofmechanicalsystemsNon-linearComputationalMechanicsofStructuresComputationalMethodsforShellAnalysisNumericalModelingofSoilsandConcreteStructuresComputationalContactMechanicsSimulationofmulti-phaseandmulti-scalematerialswithhomogenizationapproaches

VariationalmethodsinStructuralDynamics

Q4 Master’sthesis 30 Master’sthesis 30

(*)InQ3,chooseonesubjectfromeachofthegroups1,2and3