Record link: 
http://hdl.handle.net/20.500.12708/41759
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Title: 
A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in open domians
en
Citation: 
Kapidani, B., & Schöberl, J. (2019). A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in open domians. 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. 432–433). Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation. https://doi.org/10.34726/waves2019
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Publisher DOI: 
10.34726/waves2019
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Publication Type: 
Konferenzbeitrag - Full-Paper Contribution
de
 
Inproceedings - Full-Paper Contribution
en
Language: 
English
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Authors: 
Kapidani, Bernard 
Schöberl, Joachim 
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Organisational Unit: 
E101-03 - Forschungsbereich Scientific Computing and Modelling 
E325-03 - Forschungsbereich Technische Akustik 
E101-02 - Forschungsbereich Numerik 
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Published in: 
Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation 
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ISBN: 
978-3-200-06511-6
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DOI of the book: 
10.34726/waves2019
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Date (published): 
2019
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Event name: 
WAVES 2019 - 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation 
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Event date: 
25-Aug-2019 - 30-Aug-2019
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Event place: 
Wien, Austria
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Number of Pages: 
2
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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
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Publisher: 
Institute of Mechanics and Mechatronics, Faculty of Mechanical and Industrial Engineering, Institute of Analysis and Scientific Computing, Faculty of Mathematics and Geoinformation, TU Wien Wien, Wien
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Peer reviewed: 
Yes
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Abstract: 
AbstractA Discontinuous Galerkin (DG) approach forthe time dependent Maxwell equations is in-troduced, based on the covariant projection, oneach element of the mesh, of an orthogonal modalbasis ofL2(^K)originally defined on a referenceelement^K. This approach leads to an explicittime stepping scheme for which the the massmatrix is at mostd×dblock-diagonal (ind=2,3spatial dimensions) and other discrete bilin-ear forms involved in the scheme can be com-puted and stored only once on the reference el-ement. Open boundaries are also handled natu-rally in the formulation through a complex stretch-ing based approach
en
Research Areas: 
außerhalb der gesamtuniversitären Forschungsschwerpunkte: 10%
Computer Science Foundations: 10%
Mathematical and Algorithmic Foundations: 80%
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Science Branch: 
Mathematik
Physik, Astronomie
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