A FULLY COMPUTABLE A POSTERIORI ERROR ESTIMATE FOR THE STOKES EQUATIONS ON POLYTOPAL MESHES

被引：10

作者：

Bao, Feng ^{[1
]}

Mu, Lin ^{[2
]}

Wang, Jin ^{[3
]}

机构：

[1] Florida State Univ, Math, Tallahassee, FL 32306 USA

[2] Oak Ridge Natl Lab, Oak Ridge, TN 37831 USA

[3] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2019年 / 57卷 / 01期

基金：

美国国家科学基金会;

关键词：

weak Galerkin; finite element methods; Stokes equation; a posteriori error estimate; polytopal meshes; FINITE-ELEMENT METHODS; DIFFUSION; APPROXIMATIONS;

D O I：

10.1137/18M1171515

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a simple a posteriori error estimate for the weak Galerkin finite element method for the Stokes equation. This residual type estimator can be applied to general meshes such as polytopal mesh or meshes with hanging nodes. The reliability and efficiency of the estimator are proved in this paper. Five numerical tests demonstrate the effectiveness and flexibility of the adaptive mesh refinement guided by the designed error estimator.

引用

页码：458 / 477

页数：20

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