# Finite Element and Volume Methods

Prof. Dr. Siegfried Müller

Huqing Yang, M.Sc. ✉

### Dates

Course | Time | Room | Remark |

Lecture | Wednesday, 8:30 -- 10:30 | R 149 (Main Building) | Start: April 10th |

Friday, 8:30 -- 10:00 | R 149 (Main Building) | Start: April 12th | |

Exercise | Tuesday, 14:30 -- 16:00 | R 149 (Main Building) | Start: April 23rd |

### Contents of the course:

Part I: weak solution, shocks, concept of entropy, conservative schemes, Lax-Wendroff theorem, monotone schemes, TVD schemes, finite volume discretization, approximate Riemann solvers, discrete entropy inequality, convergence, numerical treatment of boundary conditions,Part II: finite element discontinuous Galerkin schemes, limiter, time discretization, TVD property, convergence in the mean, grid adaptation, multiresolution analysis.

### Objectives

Specifically, students gain deeper insight in either the numerical treatment of hyperbolic conservation laws using finite volume methods and finite element discontinuous Galerkin methods. Furthermore, students are able to describe the basic concepts of the convergence analysis.### Exercises

For the**exam admission**everyone is required to achieve

**50% of the possible points in the exercises and present an exercise**at least once in class.

All exercise sheets are uploaded to the RWTHmoodle course room.