Skip to Main content Skip to Navigation
Reports

Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems

Serge Piperno 1
1 CAIMAN - Scientific computing, modeling and numerical analysis
CRISAM - Inria Sophia Antipolis - Méditerranée , ENPC - École des Ponts ParisTech, CNRS - Centre National de la Recherche Scientifique : UMR6621
Abstract : The Discontinuous Galerkin Time Domain (DGTD) methods are now popular for the solution of wave propagation problems. Able to deal with unstructured, possibly locally-refined meshes, they handle easily complex geometries and remain fully explicit with easy parallelization and extension to high orders of accuracy. Non-dissipative versions exist, where some discrete electromagnetic energy is exactly conserved. However, the stability limit of the methods, related to the smallest elements in the mesh, calls for the construction of local-time stepping algorithms. These schemes have already been developed for N-body mechanical problems and are known as symplectic schemes. They are applied here to DGTD methods on wave propagation problems.
Document type :
Reports
Complete list of metadata

Cited literature [28 references]  Display  Hide  Download

https://hal.inria.fr/inria-00070364
Contributor : Rapport de Recherche Inria <>
Submitted on : Friday, May 19, 2006 - 8:16:41 PM
Last modification on : Saturday, April 7, 2018 - 1:18:19 AM
Long-term archiving on: : Sunday, April 4, 2010 - 9:02:44 PM

Identifiers

  • HAL Id : inria-00070364, version 1

Collections

Citation

Serge Piperno. Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems. [Research Report] RR-5643, INRIA. 2005, pp.31. ⟨inria-00070364⟩

Share

Metrics

Record views

279

Files downloads

419