Advanced Numerical Methods in the Mathematical Sciences
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- Texas A&M University
- College Station, TX
- Rudder Tower (RDER) 501
- Joachim Schöberl, Vienna Institute of Technology (Austria)
- DG and HDG Tent Pitching Methods for Conservation Laws
Authors
- Jay Gopalakrishnan
- Joachim Schöberl
- Christoph Wintersteiger
Abstract
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.