Lehrinhalte
Theory of Discontinuous Galerkin methods for linear elliptic parabolic and hyperbolic PDEs; stability and consistency, a-priori and a-posteriori error estimates, interior penalty, upwinding; implementation of practical problems in e.g. matlab
Literature
D. A. Di Pietro, A. Ern: Mathematical Aspects of Discontinuous Galerkin Methods (Book, Springer) B. Riviere: Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations (Book, SIAM)
Voraussetzungen
recommended: Numerical methods for ordinary differential equations, numerical methods for partial differential equations
Theory of Discontinuous Galerkin methods for linear elliptic parabolic and hyperbolic PDEs; stability and consistency, a-priori and a-posteriori error estimates, interior penalty, upwinding; implementation of practical problems in e.g. matlab
Literature
D. A. Di Pietro, A. Ern: Mathematical Aspects of Discontinuous Galerkin Methods (Book, Springer) B. Riviere: Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations (Book, SIAM)
Voraussetzungen
recommended: Numerical methods for ordinary differential equations, numerical methods for partial differential equations
- Lehrende: Aidan Chaumet
- Lehrende: Jan Giesselmann
Semester: Verão 2022