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Volume 11, Issue 3
High-Order Low Dissipation Conforming Finite-Element Discretization of the Maxwell Equations

Sébastien Jund, Stéphanie Salmon & Eric Sonnendrücker

DOI: 10.4208/cicp.100310.230511a

Commun. Comput. Phys., 11 (2012), pp. 863-892.

Published online: 2012-11

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  • Abstract

In this paper, we study high order discretization methods for solving the Maxwell equations on hybrid triangle-quad meshes. We have developed high order finite edge element methods coupled with different high order time schemes and we compare results and efficiency for several schemes. We introduce in particular a class of simple high order low dissipation time schemes based on a modified Taylor expansion.

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@Article{CiCP-11-863, author = {Sébastien Jund, Stéphanie Salmon and Eric Sonnendrücker}, title = {High-Order Low Dissipation Conforming Finite-Element Discretization of the Maxwell Equations}, journal = {Communications in Computational Physics}, year = {2012}, volume = {11}, number = {3}, pages = {863--892}, abstract = {

In this paper, we study high order discretization methods for solving the Maxwell equations on hybrid triangle-quad meshes. We have developed high order finite edge element methods coupled with different high order time schemes and we compare results and efficiency for several schemes. We introduce in particular a class of simple high order low dissipation time schemes based on a modified Taylor expansion.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.100310.230511a}, url = {http://global-sci.org/intro/article_detail/cicp/7394.html} }
TY - JOUR T1 - High-Order Low Dissipation Conforming Finite-Element Discretization of the Maxwell Equations AU - Sébastien Jund, Stéphanie Salmon & Eric Sonnendrücker JO - Communications in Computational Physics VL - 3 SP - 863 EP - 892 PY - 2012 DA - 2012/11 SN - 11 DO - http://doi.org/10.4208/cicp.100310.230511a UR - https://global-sci.org/intro/article_detail/cicp/7394.html KW - AB -

In this paper, we study high order discretization methods for solving the Maxwell equations on hybrid triangle-quad meshes. We have developed high order finite edge element methods coupled with different high order time schemes and we compare results and efficiency for several schemes. We introduce in particular a class of simple high order low dissipation time schemes based on a modified Taylor expansion.

Sébastien Jund, Stéphanie Salmon and Eric Sonnendrücker. (2012). High-Order Low Dissipation Conforming Finite-Element Discretization of the Maxwell Equations. Communications in Computational Physics. 11 (3). 863-892. doi:10.4208/cicp.100310.230511a
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