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Local Discontinuous Galerkin Method with Reduced Stabilization for Diffusion Equations
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作者 E.Burman b.stamm 《Communications in Computational Physics》 SCIE 2009年第2期498-514,共17页
We extend the results on minimal stabilization of Burman and Stamm[J.Sci.Comp.,33(2007),pp.183-208]to the case of the local discontinuous Galerkin methods on mixed form.The penalization term on the faces is relaxed to... We extend the results on minimal stabilization of Burman and Stamm[J.Sci.Comp.,33(2007),pp.183-208]to the case of the local discontinuous Galerkin methods on mixed form.The penalization term on the faces is relaxed to act only on a part of the polynomial spectrum.Stability in the form of a discrete inf-sup condition is proved and optimal convergence follows.Some numerical examples using high order approximation spaces illustrate the theory. 展开更多
关键词 Local discontinuous Galerkin h-FEM interior penalty diffusion equation
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