Anisotropic metrics for finite element meshes using a posteriori error estimates: Poisson and Stokes equations

被引：3

作者：

Kuate, Raphael ^{[1
,2
]}

机构：

[1] UVHC, LAMAV, F-59313 Valenciennes, France

[2] Univ Paris Est, IFSTTAR, MACS, F-75732 Paris, France

来源：

ENGINEERING WITH COMPUTERS | 2013年 / 29卷 / 04期

关键词：

Anisotropic mesh adaptation; Metrics; A posteriori error estimates; Stokes system; Poisson equation; INDICATOR;

D O I：

10.1007/s00366-012-0276-8

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, metrics derived from a posteriori error estimates for the Poisson problem and for the Stokes system solved by some finite element methods are presented. Numerical examples of mesh adaptation in two dimensions of the space are given and show that these metrics detect the singular behavior of the solution, in particular its anisotropy.

引用

页码：497 / 505

页数：9

共 50 条

[1] Anisotropic metrics for finite element meshes using a posteriori error estimates: Poisson and Stokes equations
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[J]. Engineering with Computers, 2013, 29 : 497 - 505
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