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

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 Pk-Lagrange finit...

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Bibliographic Details
Published inJournal of computational and applied mathematics Vol. 258; pp. 99 - 115
Main Authors Hecht, Frédéric, Kuate, Raphaël
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.03.2014
Elsevier
Subjects
Anisotropy
Computer Science
Finite elements
Interpolation error estimates
Mesh adaptation
Metrics
Numerical Analysis
Mesh adaptation
Finite elements
Metrics
Interpolation error estimates
Anisotropy
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Summary: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 Pk-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.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2013.09.002