Article ID Journal Published Year Pages File Type
4639178 Journal of Computational and Applied Mathematics 2014 17 Pages PDF
Abstract

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 PkPk-Lagrange finite element, k>1k>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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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