Publication

Minimal stabilization of discontinuous Galerkin finite element methods for hyperbolic problems

Erik Burman
2007
Journal Articles

Abstract

We consider a discontinuous Galerkin finite element method for the advection– reaction equation in two space–dimensions. For polynomial approximation spaces of degree greater than or equal to two on triangles we propose a method where stability is obtained by a penalization of only the upper portion of the polynomial spectrum of the jump of the solution over element edges. We prove stability in the standard h-weighted graphnorm and obtain optimal order error estimates with respect to mesh-size.

Official source

https://infoscience.epfl.ch/entities/publication/fdde9ee0-0d8e-4464-bf3c-954f98a48760

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Minimal stabilization of discontinuous Galerkin finite element methods for hyperbolic problems

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