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

共 50 条

[31] An a posteriori error indicator for discontinuous Galerkin approximations of fourth-order elliptic problems
Georgoulis, Emmanuil H.
Houston, Paul
Virtanen, Juha
IMA JOURNAL OF NUMERICAL ANALYSIS, 2011, 31 (01) : 281 - 298
[32] Energy norm a posteriori error estimation for divergence-free discontinuous Galerkin approximations of the Navier-Stokes equations
Kanschat, Guido
Schoetzau, Dominik
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2008, 57 (09) : 1093 - 1113
[33] Anisotropic a posteriori error estimation for the mixed discontinuous Galerkin approximation of the Stokes problem
Creusé, E
Nicaise, S
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2006, 22 (02) : 449 - 483
[34] A priori and a posteriori error analysis for discontinuous Galerkin finite element approximations of biharmonic eigenvalue problems
Liang Wang
Chunguang Xiong
Huibin Wu
Fusheng Luo
Advances in Computational Mathematics, 2019, 45 : 2623 - 2646
[35] A posteriori error estimates for continuous/discontinuous Galerkin approximations of the Kirchhoff-Love buckling problem
Hansbo, Peter
Larson, Mats G.
COMPUTATIONAL MECHANICS, 2015, 56 (05) : 815 - 827
[36] A priori and a posteriori error analysis for discontinuous Galerkin finite element approximations of biharmonic eigenvalue problems
Wang, Liang
Xiong, Chunguang
Wu, Huibin
Luo, Fusheng
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2019, 45 (5-6) : 2623 - 2646
[37] Local problem-based a posteriori error estimators for discontinuous Galerkin approximations of reactive transport
Shuyu Sun
Mary F. Wheeler
Computational Geosciences, 2007, 11 : 87 - 101
[38] Local problem-based a posteriori error estimators for discontinuous Galerkin approximations of reactive transport
Sun, Shuyu
Wheeler, Mary F.
COMPUTATIONAL GEOSCIENCES, 2007, 11 (02) : 87 - 101
[39] Discontinuous Galerkin error estimation for hyperbolic problems on unstructured triangular meshes
Baccouch, Mahboub
Adjerid, Slimane
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2011, 200 (1-4) : 162 - 177
[40] A priori and a posteriori error analysis for the mixed discontinuous Galerkin finite element approximations of the biharmonic problems
Xiong, Chunguang
Becker, Roland
Luo, Fusheng
Ma, Xiuling
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2017, 33 (01) : 318 - 353

← 1 2 3 4 5 →