An approximation of anisotropic metrics from higher order interpolation error for triangular mesh adaptation

被引：8

作者：

Hecht, Frederic ^{[1
,2
]}

Kuate, Raphael ^{[1
,3
]}

机构：

[1] Univ Paris 06, UMR 7598, Lab Jacques Louis Lions, F-75005 Paris, France

[2] CNRS, UMR 7598, Lab Jacques Louis Lions, F-75005 Paris, France

[3] Univ Paris Est, IFSTTAR, COSYS, F-77447 Marne La Vallee, France

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2014年 / 258卷

关键词：

Mesh adaptation; Metrics; Interpolation error estimates; Finite elements; Anisotropy; FINITE-ELEMENT METHODS; STOKES PROBLEM; ESTIMATOR;

D O I：

10.1016/j.cam.2013.09.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose an efficient algorithm for the numerical approximation of metrics, used for anisotropic mesh adaptation on triangular meshes with finite element computations. We derive the metrics from interpolation error estimates expressed in terms of higher order derivatives, for the,P-k-Lagrange finite element, k > 1. Numerical examples of mesh adaptation done using metrics computed with our Algorithm, and derived from higher order derivatives as error estimates, show that we obtain the right directions of anisotropy. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：99 / 115

页数：17

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