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

[1] A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems
Adjerid, S
Devine, KD
Flaherty, JE
Krivodonova, L
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2002, 191 (11-12) : 1097 - 1112
[2] Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Maxwell operator
Houston, P
Perugia, I
Schötzau, D
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2005, 194 (2-5) : 499 - 510
[3] Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Stokes problem
Houston, P
Schötzau, D
Wihler, TP
JOURNAL OF SCIENTIFIC COMPUTING, 2005, 22-3 (01) : 347 - 370
[4] DISCONTINUOUS GALERKIN ERROR ESTIMATION FOR LINEAR SYMMETRIZABLE HYPERBOLIC SYSTEMS
Adjerid, Slimane
Weinhart, Thomas
MATHEMATICS OF COMPUTATION, 2011, 80 (275) : 1335 - 1367
[5] Discontinuous Galerkin error estimation for linear symmetric hyperbolic systems
Adjerid, Slimane
Weinhart, Thomas
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2009, 198 (37-40) : 3113 - 3129
[6] A posteriori discontinuous Galerkin error estimation on tetrahedral meshes
Adjerid, Slimane
Mechai, Idir
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2012, 201 : 157 - 178
[7] A posteriori error estimation and dynamic adaptivity for symmetric discontinuous Galerkin approximations of reactive transport problems
Sun, SY
Wheeler, MF
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2006, 195 (7-8) : 632 - 652
[8] Energy Norm shape A Posteriori Error Estimation for Mixed Discontinuous Galerkin Approximations of the Stokes Problem
Houston Paul
Dominik Schötzau
Thomas P. Wihler
Journal of Scientific Computing, 2005, 22-23 : 347 - 370
[9] Functional A Posteriori Error Estimates for Discontinuous Galerkin Approximations of Elliptic Problems
Lazarov, Raytcho
Repin, Sergey
Tomar, Satyendra K.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2009, 25 (04) : 952 - 971
[10] Energy norm a posteriori error estimation for discontinuous Galerkin methods
Becker, R
Hansbo, P
Larson, MG
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2003, 192 (5-6) : 723 - 733

← 1 2 3 4 5 →