Adaptive Solution of PDEs on Anisotropic Triangular Meshes

被引：0

作者：

Agouzal, Abdelattif ^{[1
]}

Lipnikov, Konstantin ^{[2
]}

Vassilevski, Yuri ^{[3
]}

机构：

[1] Univ Lyon 1, Equipe Anal Numer Lyon St Etienne, Anal Numer Lab, Bat 101, F-69622 Villeurbanne, France

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

[3] Russian Acad Sci, Inst Numer Mathemat, Moscow, Russia

来源：

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III | 2010年 / 1281卷

基金：

俄罗斯基础研究基金会;

关键词：

anisotropic meshes; adaptive meshes; PDEs; finite elements;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We describe a method for generating anisotropic adaptive meshes for finite element solution of second-order PDEs. The adaptive meshes allows us to minimize the gradient of a discretization error. The key element of this method is construction of a tensor metric from edge-based error estimates. We verify with numerical experiments that for a mesh with N triangles, the energy norm of the discretization error is proportional to N-1/2 even for strongly anisotropic meshes.

引用

页码：1558 / +

页数：2

共 14 条

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