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Optimal Mesh for P1 Interpolation in H1 Seminorm

Lague, Jean-Francois and Frederic Hecht

Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.259-270, September 17-20 2006

IMR
PROCEEDINGS

15th International Meshing Roundtable
Birmingham, Alabama, U.S.A.
September 17-20, 2006

Universite Pierre et Marie Curie
lague@ann.jussieu.fr, hecht@ann.jussieu.fr

Abstract
In this paper we present one approach to build optimal meshes for P1 interpolation. Considering classical geometric error estimates based on the Hessian matrix of a solution, we show it is possible to generate optimal meshes in H1 seminorm via a simple minimization procedure.

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