Anisotropic Mesh Adaptation for Solution of Finite Element Problems Using Hierarchical Edge-Based Error Estimates

被引：5

作者：

Agouzal, Abdellatif ^{[1
]}

Lipnikov, Konstantin ^{[2
]}

Vassilevski, Yuri ^{[3
]}

机构：

[1] Univ Lyon 1, Anal Numer Lab, F-69622 Villeurbanne, France

[2] Div Theoret, Los Alamos Natl Lab, Los Alamos, NM 87545 USA

[3] Inst Numer Math, Moscow, Russia

来源：

PROCEEDINGS OF THE 18TH INTERNATIONAL MESHING ROUNDTABLE | 2009年

关键词：

D O I：

10.1007/978-3-642-04319-2_34

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We present a new technology for generating meshes minimizing the interpolation and discretization errors or their gradients. The key element of this methodology is construction of a space metric from edge-based error estimates. For a mesh with N-h triangles, the error is proportional to N-h(-1) and the gradient of error is proportional to N-h(-1/2) which are the optimal asymptotics. The methodology is verified with numerical experiments.

引用

页码：595 / +

页数：3

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