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JSCIC
2007

Minimal Stabilization for Discontinuous Galerkin Finite Element Methods for Hyperbolic Problems

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Minimal Stabilization for Discontinuous Galerkin Finite Element Methods for Hyperbolic Problems
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. Discontinuous Galerkin method, advection-reaction equation, local mass conservation, interior penalty.
E. Burman, B. Stamm
Added 16 Dec 2010
Updated 16 Dec 2010
Type Journal
Year 2007
Where JSCIC
Authors E. Burman, B. Stamm
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