An explicit discontinuous Galerkin scheme with local time-stepping for general unsteady diffusion equations

In this paper we propose a discontinuous Galerkin scheme for the numerical approximation of unsteady heat conduction and diffusion problems in multi dimensions. The scheme is based on a discrete space–time variational formulation and uses an explicit approximative solution as predictor. This predict...

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Veröffentlicht in:	Journal of computational physics 2008-05, Vol.227 (11), p.5649-5670
Hauptverfasser:	Lörcher, Frieder, Gassner, Gregor, Munz, Claus-Dieter
Format:	Artikel
Sprache:	eng
Schlagworte:	Computational techniques Discontinuous Galerkin schemes Exact sciences and technology High order accuracy Local time-stepping Mathematical methods in physics Nonlinear unsteady diffusion equations Numerical flux for heat conduction Physics Space–time approach
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