Improving accuracy of high-order discontinuous Galerkin method for time-domain electromagnetics on curvilinear domains

Hassan Fahs 1, *
* Corresponding author
1 NACHOS - Numerical modeling and high performance computing for evolution problems in complex domains and heterogeneous media
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR6621
Abstract : The paper discusses high-order geometrical mapping for handling curvilinear geometries in high-accuracy discontinuous Galerkin simulations for time-domain Maxwell problems. The proposed geometrical mapping is based on a quadratic representation of the curved boundary and on the adaptation of the nodal points inside each curved element. With high-order mapping, numerical fluxes along curved boundaries are computed much more accurately due to the accurate representation of the computational domain. Numerical experiments for two-dimensional and three-dimensional propagation problems demonstrate the applicability and benefits of the proposed high-order geometrical mapping for simulations involving curved domains.
Complete list of metadatas

Cited literature [35 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00600465
Contributor : Hassan Fahs <>
Submitted on : Sunday, July 7, 2013 - 6:53:23 AM
Last modification on : Thursday, May 3, 2018 - 1:32:55 PM
Long-term archiving on : Tuesday, October 8, 2013 - 2:20:10 AM

File

fahs_ijcm2011.pdf
Files produced by the author(s)

Identifiers

Citation

Hassan Fahs. Improving accuracy of high-order discontinuous Galerkin method for time-domain electromagnetics on curvilinear domains. International Journal of Computer Mathematics, Taylor & Francis, 2011, 88 (10), pp.2124 - 2153. ⟨10.1080/00207160.2010.527960⟩. ⟨hal-00600465⟩

Share

Metrics

Record views

608

Files downloads

469