Star-Based a Posteriori Error Estimates for Elliptic Problems

被引：1

作者：

Achchab, B. ^{[1
,2
]}

Agouzal, A. ^{[3
]}

Debit, N. ^{[3
]}

Bouihat, K. ^{[1
,2
]}

机构：

[1] Univ Hassan Ier, LM2CE, Ecole Super Technol Berrechid, Berrechid, Morocco

[2] Univ Hassan Ier, Fac Sci Econ Jurid & Sociales Settat, Berrechid, Morocco

[3] Univ Lyon 1, CNRS, UMR 5208, Inst Camille Jordan, F-69622 Villeurbanne, France

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2014年 / 60卷 / 01期

关键词：

A posteriori error estimator; Nonconforming finite element method; Diffusion reaction equations; Stokes equations; FINITE-ELEMENT APPROXIMATIONS;

D O I：

10.1007/s10915-013-9793-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give an a posteriori error estimator for low order nonconforming finite element approximations of diffusion-reaction and Stokes problems, which relies on the solution of local problems on stars. It is proved to be equivalent to the energy error up to a data oscillation, without requiring Helmholtz decomposition of the error nor saturation assumption. Numerical experiments illustrate the good behavior and efficiency of this estimator for generic elliptic problems.

引用

页码：184 / 202

页数：19

共 50 条

[31] Weak Galerkin based a posteriori error estimates for second order elliptic interface problems on polygonal meshes
Mu, Lin
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 361 : 413 - 425
[32] Adaptive variational multiscale methods based on a posteriori error estimation:: Energy norm estimates for elliptic problems
Larson, Mats G.
Malqvist, Axel
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2007, 196 (21-24) : 2313 - 2324
[33] POINTWISE A-POSTERIORI ERROR-ESTIMATES FOR ELLIPTIC PROBLEMS ON HIGHLY GRADED MESHES
NOCHETTO, RH
MATHEMATICS OF COMPUTATION, 1995, 64 (209) : 1 - 22
[34] A posteriori error estimates for a discontinuous Galerkin approximation of second-order elliptic problems
Karakashian, OA
Pascal, F
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2003, 41 (06) : 2374 - 2399
[35] A posteriori error estimates for the heterogeneous multiscale finite element method for elliptic homogenization problems
Ohlberger, M
MULTISCALE MODELING & SIMULATION, 2005, 4 (01): : 88 - 114
[36] 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
[37] 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
[38] A Posteriori Error Estimates for Axisymmetric and Nonlinear Problems
Michal Křížek
Jan Němec
Tomáš Vejchodský
Advances in Computational Mathematics, 2001, 15 : 219 - 236
[39] A posteriori error estimates for DDDAS inference problems
Rao, Vishwas
Sandu, Adrian
2014 INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE, 2014, 29 : 1256 - 1265
[40] A posteriori error estimates for axisymmetric and nonlinear problems
Krízek, M
Nemec, J
Vejchodsky, T
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2001, 15 (1-4) : 219 - 236

← 1 2 3 4 5 →