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Beiträge in Tagungsbänden:

J. Gopalakrishnan, J. Schöberl, C. Wintersteiger:
"An explicit Mapped Tent Pitching scheme for hyperbolic systems";
in: "Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation", 1; M. Kaltenbacher, J. Melenk, L. Nannen, F. Toth (Hrg.); herausgegeben von: TU Wien, Inst. of Mechanics a. Mechatronics, Inst. of Analysis a. Sci.Comp.; Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation, TU Wien, Inst. of Mechanics a. Mechatroncis, Inst. of Analysis a. Sci. Comp., Wien, 2019, ISBN: 978-3-200-06511-6, S. 272 - 273.



Kurzfassung englisch:
272MinisymposiaAn explicit Mapped Tent Pitching scheme for hyperbolic systemsJay Gopalakrishnan1, Joachim Schöberl2, Christoph Wintersteiger2,∗1F. Maseeh Department of Mathematics and Statistics, Portland State University, Portland, USA2Institute for Analysis and Scientific Computing, TU Wien, Wien, Austria∗Email: christoph.wintersteiger@tuwien.ac.atAbstractThe presented Mapped Tent Pitching (MTP)method is based on a tent pitching algorithm,which partitions the spacetime domain into tent-shaped regions that respect causality. Instead ofdiscretizing these tents in spacetime, we intro-duce a transformation, which maps each tentto a domain with tensor product structure ofthe spatial domain with a time interval. Usinga discontinuous Galerkin method space, we ob-served a convergence order reduction when usingstandard explicit Runge-Kutta methods in time.Therefore we present a Runge-Kutta type time-stepping which overcomes this issue and can beapplied to non-linear hyperbolic systems.


"Offizielle" elektronische Version der Publikation (entsprechend ihrem Digital Object Identifier - DOI)
http://dx.doi.org/10.34726/waves2019


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