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

[21] Fully Computable a Posteriori Error Bounds for Hybridizable Discontinuous Galerkin Finite Element Approximations
Ainsworth, Mark
Fu, Guosheng
JOURNAL OF SCIENTIFIC COMPUTING, 2018, 77 (01) : 443 - 466
[22] A posteriori error estimates for continuous/discontinuous Galerkin approximations of the Kirchhoff–Love buckling problem
Peter Hansbo
Mats G. Larson
Computational Mechanics, 2015, 56 : 815 - 827
[23] A posteriori error estimates for continuous/discontinuous Galerkin approximations of the Kirchhoff-Love plate
Hansbo, Peter
Larson, Mats G.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2011, 200 (47-48) : 3289 - 3295
[24] Fully Computable a Posteriori Error Bounds for Hybridizable Discontinuous Galerkin Finite Element Approximations
Mark Ainsworth
Guosheng Fu
Journal of Scientific Computing, 2018, 77 : 443 - 466
[25] A-Posteriori Error Estimates for Discontinuous Galerkin Approximations of Second Order Elliptic Problems
Lovadina, Carlo
Marini, L. Donatella
JOURNAL OF SCIENTIFIC COMPUTING, 2009, 40 (1-3) : 340 - 359
[26] A-Posteriori Error Estimates for Discontinuous Galerkin Approximations of Second Order Elliptic Problems
Carlo Lovadina
L. Donatella Marini
Journal of Scientific Computing, 2009, 40 : 340 - 359
[27] hp adaptive Discontinuous Galerkin strategies driven by a posteriori error estimation with application to aeronautical flow problems
Chapelier J.-B.
Basile F.
Naddei F.
de la Llave Plata M.
Couaillier V.
Laraufie R.
Advances in Applied Mechanics, 2024, 58 : 23 - 86
[28] A unified a posteriori error estimate of local discontinuous Galerkin approximations for reactive transport problems
Jiming Yang
Indian Journal of Pure and Applied Mathematics, 2015, 46 : 759 - 772
[29] A UNIFIED A POSTERIORI ERROR ESTIMATE OF LOCAL DISCONTINUOUS GALERKIN APPROXIMATIONS FOR REACTIVE TRANSPORT PROBLEMS
Yang, Jiming
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2015, 46 (06): : 759 - 772
[30] Energy norm a posteriori error estimates for discontinuous Galerkin approximations of the linear elasticity problem
Hansbo, Peter
Larson, Mats G.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2011, 200 (45-46) : 3026 - 3030

← 1 2 3 4 5 →