3D Maxwell's equations and orthogonal nonconforming meshes: a hp-type Discontinuous Galerkin method - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 2003

3D Maxwell's equations and orthogonal nonconforming meshes: a hp-type Discontinuous Galerkin method

Abstract

We present a Discontinuous Galerkin scheme to solve the time-domain Maxwell's equations on conforming or nonconforming orthogonal grids. The method relies on a set of local basis functions whose degree may vary at subgrid interfaces. We also choose a centered mean approximation for the surface integrals and a second-order leap-frog scheme for advancing in time. We prove that the resulting scheme is stable and that it conserves a discrete analog of the electromagnetic energy. We also analyse the dispersion error in the uniform mesh case.
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Dates and versions

inria-00071668 , version 1 (23-05-2006)

Identifiers

  • HAL Id : inria-00071668 , version 1

Cite

Nicolas Canouet, Loula Fatima Fezoui, Serge Piperno. 3D Maxwell's equations and orthogonal nonconforming meshes: a hp-type Discontinuous Galerkin method. [Research Report] RR-4912, INRIA. 2003. ⟨inria-00071668⟩
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