Advanced Numerical Methods in the Mathematical Sciences
- Joachim Schöberl, Vienna Institute of Technology (Austria)
- DG and HDG Tent Pitching Methods for Conservation Laws
- Jay Gopalakrishnan
- Joachim Schöberl
- Christoph Wintersteiger
We present a new approach to discretize hyperbolic conservation laws in space-time by local solvers on patches. In contrast to earlier tent-pitching methods which are based on full 4D discretizations, our method recycles usual discontinuous or hybrid discontinuous Galerkin methods in space combined with traditional time-stepping methods. Numerical results for the linear wave equation and non-linear equations are presented.