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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


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

Universite Pierre et Marie Curie,

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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