Volume 46, Number 5, September-October 2012
|Page(s)||1225 - 1246|
|Published online||27 March 2012|
Temporal convergence of a locally implicit discontinuous Galerkin method for Maxwell’s equations∗
INRIA Sophia Antipolis - Méditerannée, NACHOS project-team, 2004 Route des Lucioles, BP 93, 06902 Sophia Antipolis Cedex, France
Received: 8 June 2011
Revised: 30 December 2011
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
Mathematics Subject Classification: 65M12 / 65M60 / 78M10
Key words: Temporal convergence / discontinuous Galerkin method / time-domain Maxwell equations / component splitting / order reduction
© EDP Sciences, SMAI, 2012
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