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

[41] L2(H1) norm a posteriori error estimation for discontinuous Galerkin approximations of reactive transport problems
Sun, SY
Wheeler, M
JOURNAL OF SCIENTIFIC COMPUTING, 2005, 22-3 (01) : 501 - 530
[42] An A Posteriori Error Estimate for the Local Discontinuous Galerkin Method
Paul Castillo
Journal of Scientific Computing, 2005, 22-23 : 187 - 204
[43] An a posteriori error estimate for the local discontinuous Galerkin method
Castillo, P
JOURNAL OF SCIENTIFIC COMPUTING, 2005, 22-3 (01) : 187 - 204
[44] A posteriori discontinuous Galerkin error estimator for linear elasticity
Bird, Robert E.
Coombs, William M.
Giani, Stefano
APPLIED MATHEMATICS AND COMPUTATION, 2019, 344 : 78 - 96
[45] Gradient recovery based a posteriori error estimator for the adaptive direct discontinuous Galerkin method
Cao, Huihui
Huang, Yunqing
Yi, Nianyu
CALCOLO, 2023, 60 (01)
[46] Gradient recovery based a posteriori error estimator for the adaptive direct discontinuous Galerkin method
Huihui Cao
Yunqing Huang
Nianyu Yi
Calcolo, 2023, 60
[47] Error growth and a posteriori error estimates for conservative Galerkin approximations of periodic orbits in Hamiltonian systems
Larson, MG
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2000, 10 (01): : 31 - 46
[48] Error growth and a posteriori error estimates for conservative Galerkin approximations of periodic orbits in Hamiltonian systems
Larson, Mats G.
Doktorsavhandlingar vid Chalmers Tekniska Hogskola, 1996, (1257):
[49] ENERGY NORM A POSTERIORI ERROR ESTIMATION FOR hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC PROBLEMS IN THREE DIMENSIONS
Zhu, Liang
Giani, Stefano
Houston, Paul
Schoetzau, Dominik
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2011, 21 (02): : 267 - 306
[50] Flux reconstruction and a posteriori error estimation for discontinuous Galerkin methods on general nonmatching grids
Ern, Alexandre
Vohralik, Martin
COMPTES RENDUS MATHEMATIQUE, 2009, 347 (7-8) : 441 - 444

← 1 2 3 4 5 →