Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4639178 | Journal of Computational and Applied Mathematics | 2014 | 17 Pages |
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
Authors
Frédéric Hecht, Raphaël Kuate,