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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Published in | Journal of computational and applied mathematics Vol. 258; pp. 99 - 115 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Elsevier B.V
01.03.2014
Elsevier |
Subjects | |
Online Access | Get full text |
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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. |
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ISSN: | 0377-0427 1879-1778 |
DOI: | 10.1016/j.cam.2013.09.002 |