Lectures Professor : Prof. Dr. Eric Sonnendrucker |

Informations : Lectures and exercises of Master, Technic University of Munich. |

Key words : hyperbolic systems, MHD, finite volumes methods, Galerkin discontinuous methods, Maxwell systems, Euler systems. |

Publications : |

Numerical Approximation of Hyperbolic Systems of Conservation Laws, E. Godlewski and P.A. Raviart, Springer, 1996 . |

Finite Volume Methods for Hyperbolic Problems, R.J. Leveque, Cambridge Texts in Applied Mathematics, 2002 . |

Mathematical Aspects of Discontinuous Galerkin Methods, D. A. Di Pietro and A. Ern, vol. 69 SMAI Mathématiques et Applications, Springer, 2012. |

Exercises sheets correction : |

Exercises sheet 1: Advection equation and finite volumes schemes. Part 1, Part 2. |

Exercises sheet 2: Discontinuous Galerkin for advection equation. Part 1, Part 2. |

Exercises sheet 3: Numerical schemes for wave equations, Part 1, Part 2 |

Exercises sheet 4: Finite volumes scheme for scalar nonlinear equations, Part 1, Part 2. |

Matlab program: 1D Discontinuous Galerkin code for hyperbolic systems. |

Description: 1D Discontinuous Galerkin code with arbitrary order Lagrange Polynomial + SSP Runge Kutta method (order one, two and three) for the advection, Maxwell, Euler equations and the P1 model. Non uniform grids. |

Work in progress: Variable advection velocity, MHD and Burgers equations, AP schemes. |