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.
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页码：595 / +
页数：3
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