Minimal Stabilization for Discontinuous Galerkin Finite Element Methods for Hyperbolic Problems

被引：0
作者：
E. Burman
B. Stamm
机构：
[1] Swiss Institute of Technology,Institute of Analysis and Scientific Computing
来源：
Journal of Scientific Computing | 2007年 / 33卷
关键词：
Discontinuous Galerkin ; -FEM; Advection-reaction equation; Local mass conservation; Interior penalty;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：183 / 208
页数：25
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