hp-Discontinuous Galerkin Finite Element Methods with Least-Squares Stabilization

被引：20

作者：

Houston, Paul ^{[1
]}

Jensen, Max ^{[2
]}

Sueli, Endre ^{[2
]}

机构：

[1] Univ Leicester, Dept Math & Comp Sci, Leicester LE1 7RH, Leics, England

[2] Univ Oxford, Comp Lab, Oxford OX1 3QD, England

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2002年 / 17卷 / 1-4期

基金：

英国工程与自然科学研究理事会;

关键词：

hp-finite element methods; discontinuous Galerkin methods; least-squares finite element methods; first order systems of PDEs;

D O I：

10.1023/A:1015180009979

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a family of hp-version discontinuous Galerkin finite element methods with least-squares stabilization for symmetric systems of first-order partial differential equations. The family includes the classical discontinuous Galerkin finite element method, with and without streamline-diffusion stabilization, as well as the discontinuous version of the Galerkin least-squares finite element method. An hp-optimal error bound is derived in the associated DG-norm. If the solution of the problem is elementwise analytic, an exponential rate of convergence under p-refinement is proved. We perform numerical experiments both to illustrate the theoretical results and to compare the various methods within the family.

引用

页码：3 / 25

页数：23

共 23 条

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[2]

Barth TJ, 1999, LECT NOTES COMP SCI, V5, P195

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