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

Abstract : In this note we study the temporal convergence of a locally implicit discontinuous Galerkin (DG) method for Maxwell's equations modeling electromagnetic wave 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.
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https://hal.inria.fr/inria-00565217
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Submitted on : Thursday, February 21, 2013 - 3:50:32 PM
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Ludovic Moya, Jan Verwer. Temporal convergence of a locally implicit discontinuous Galerkin method for Maxwell's equations. [Research Report] RR-7533, INRIA. 2011, pp.26. ⟨inria-00565217v2⟩

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