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Temporal convergence of a locally implicit discontinuous Galerkin method for Maxwell’s equations∗

Published online by Cambridge University Press:  27 March 2012

Ludovic Moya
Ludovic Moya*
Affiliation:
INRIA Sophia Antipolis - Méditerannée, NACHOS project-team, 2004 Route des Lucioles, BP 93, 06902 Sophia Antipolis Cedex, France. ludovic.moya@inria.fr
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Abstract

In this paper we study the temporal convergence of a locally implicit discontinuous Galerkin method for the time-domain Maxwell’s equations modeling electromagnetic waves propagation. Particularly, we wonder whether the method retains its second-order ordinary differential equation (ODE) convergence under stable simultaneous space-time grid refinement towards the true partial differential equation (PDE) solution. This is not a priori clear due to the component splitting which can introduce order reduction

Keywords

Temporal convergencediscontinuous Galerkin methodtime-domain Maxwell equationscomponent splittingorder reduction
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 46 , Issue 5 , September 2012 , pp. 1225 - 1246
Copyright
© EDP Sciences, SMAI, 2012

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