Lehrinhalte
Theory of Discontinuous Galerkin methods; Boundedness, Stability, Consistency, Approximation; Upwinding, Limiting; INterior Penalty (IP), local DG (LDG), aso.; Implementation and practical examples (e.g. in Matlab)

Literatur
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: required: Introduction to Numerical Analysis or similar knowledge as taught in an engineering programme;
useful courses: Numerical Analysis of Partial Differential Equations, Funcitonal Analysis

Semester: ST 2020