A posteriori error estimation for adaptive discontinuous Galerkin approximations of hyperbolic systems

被引：0

作者：

Larson, MG ^{[1
]}

Barth, TJ ^{[1
]}

机构：

[1] Stanford Univ, Stanford, CA 94305 USA

来源：

DISCONTINUOUS GALERKIN METHODS: THEORY, COMPUTATION AND APPLICATIONS | 2000年 / 11卷

关键词：

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This article considers a posteriori error estimation of specified functionals for first-order systems of conservation laws discretized using the discontinuous Galerkin (DG) finite element method. Using duality techniques, we derive exact error representation formulas for both linear and nonlinear functionals given an associated bilinear or nonlinear variational form. Weighted residual approximations of the exact error representation formula are then proposed and numerically evaluated for Ringleb flow, an exact solution of the 2-D Euler equations.

引用

页码：363 / 368

页数：6

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