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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

IMR
PROCEEDINGS

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

Los Alamos National Laboratory, lipnikov@lanl.gov
Institute of Numerical Mathematics, vasilevs@dodo.inm.ras.ru
Universite de Lyon 1, Laboratoire díAnalyse Numerique, Abdellatif.Agouzal@univ-lyon1.fr

Abstract
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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