Computational Methods In Biomechanics
| Computational Methods In Biomechanics | |
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Lecturer |
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Content |
1. Introduction and Motivation 2. Mathematical Basics: definitions of errors, norms, convergence; convergence analysis of the Jacobi method and the Gauß-Seidel method 3. The Bidomain Eqautions: Modelling of activation principles within biological soft tissues; modelling of cellular processes; coupling of cellular processes and three-dimensional activation waves; decoupling strategies for the coupled problem 4. Time Integration Schemes: Explicit, implicit, semi-implicit time-stepping methods; stability analysis 5. Multigrid Methods: Fast and efficient solvers for large linear systems: geometric and algebraic multigrid methods; nested iteration methods 6. Outlook |