Topological derivatives for semilinear elliptic equations

Mohamed Iguernane ; Serguei A. Nazarov ; Jean-Rodolphe Roche ; Jan Sokolowski ; Katarzyna Szulc

International Journal of Applied Mathematics and Computer Science, Tome 19 (2009), p. 191-205 / Harvested from The Polish Digital Mathematics Library

Résumé

The form of topological derivatives for an integral shape functional is derived for a class of semilinear elliptic equations. The convergence of finite element approximation for the topological derivatives is shown and the error estimates in the L∞ norm are obtained. The results of numerical experiments which confirm the theoretical convergence rate are presented.

Détail

Publié le : 2009-01-01

Zbl 1167.49039

EUDML-ID : urn:eudml:doc:207927

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