Record link: 
http://hdl.handle.net/20.500.12708/41758
-
Title: 
An explicit Mapped Tent Pitching scheme for hyperbolic systems
en
Citation: 
Gopalakrishnan, J., Schöberl, J., & Wintersteiger, C. (2019). An explicit Mapped Tent Pitching scheme for hyperbolic systems. In M. Kaltenbacher, J. M. Melenk, L. Nannen, & F. Toth (Eds.), Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation (pp. 272–273). Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation. https://doi.org/10.34726/waves2019
-
Publisher DOI: 
10.34726/waves2019
-
Publication Type: 
Inproceedings - Full-Paper Contribution
en
Language: 
English
-
Authors: 
Gopalakrishnan, Jayadeep 
Schöberl, Joachim 
Wintersteiger, Christoph 
-
Organisational Unit: 
E101-03 - Forschungsbereich Scientific Computing and Modelling 
E325-03 - Forschungsbereich Technische Akustik 
E101-02 - Forschungsbereich Numerik 
-
Published in: 
Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation 
-
ISBN: 
978-3-200-06511-6
-
DOI of the book: 
10.34726/waves2019
-
Date (published): 
2019
-
Event name: 
WAVES 2019 - 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation 
-
Event date: 
25-Aug-2019 - 30-Aug-2019
-
Event place: 
Wien, Austria
-
Number of Pages: 
2
-
Publisher: 
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
-
Publisher: 
TU Wien, Wien
-
Peer reviewed: 
Yes
-
Abstract: 
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.
en
Research Areas: 
außerhalb der gesamtuniversitären Forschungsschwerpunkte: 10%
Computer Science Foundations: 15%
Mathematical and Algorithmic Foundations: 75%
-
Science Branch: 
Mathematik
Physik, Astronomie
-
Appears in Collections:
Conference Paper

Show full item record

Page view(s)

159
checked on Dec 1, 2023

Download(s)

2
checked on Dec 1, 2023

Google ScholarTM

Check