Model Order Reduction in Computational Solid Mechanics

Details

Course name Model Order Reduction in Computational Solid Mechanics
Module number TBA
TUCaN course number TBA
Lecturer Prof. Dr.-Ing. Dominik Schillinger
Language English
Term TBA
Credit points 6
Examination Oral exam, homework assignments

Contents

Part I: Fundamentals and mathematical background

  • Motivation of reduced order modeling (many-query, real-time, high-dimensional scenarios)
  • Traditional engineering approaches: static condensation, modal decomposition
  • Foundations of parametrized partial differential equations
  • Proper orthogonal decomposition, snapshots, offline/online strategies
  • Reduced basis methods, Galerkin projection and orthonormalization, sampling strategies

Part II: Model order reduction in computational solid mechanics

  • Computational homogenization of heterogeneous materials
  • Generalized multiscale finite element methods

Part III: Advanced topics

  • Stability, system conditioning, empirical interpolation methods

Remarks

Group exercise

The exercise sessions are integrated into the lecture. Each session is scheduled individually to align with the lecture content and will be announced as early as possible.