Topological derivatives for semilinear elliptic equations
Résumé
The form of topological derivatives for 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 $L^{\infty}$ norm are obtained. Results of numerical experiments which confirm the theoretical convergence rate are presented.
Origine : Fichiers produits par l'(les) auteur(s)
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