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Generation of Quasi-optimal Meshes Based on a Posteriori Error Estimates

Agouzal, Abdellatif, Konstantin Lipnikov, and Yuri Vassilevski

Proceedings, 16th International Meshing Roundtable, Springer-Verlag, pp.139-148, October 14-17 2007


16th International Meshing Roundtable
Seattle, Washington, U.S.A.
October 14-17, 2007

Los Alamos National Laboratory,
Institute of Numerical Mathematics,
Universite de Lyon 1, Laboratoire díAnalyse Numerique,

We study methods for recovering tensor metrics from given error estimates and properties of meshes which are quasi-uniform in these metrics. We derive optimal upper and lower bounds for the global error on these meshes. We demonstrate with numerical experiments that the edge-based error estimates are preferable for recovering anisotropic metrics than the conventional element-based errors estimates.

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