Topological Derivatives for Semilinear Elliptic Equations
Mohamed Iguernane, Serguei Nazarov, Jean-Rodolphe Roche, Jan Sokolowski, Katarzyna Szulc
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Source: Crossref
Published: Jun 1, 2009
DOI: 10.2478/v10006-009-0016-4
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Topological Derivatives for Semilinear Elliptic Equations 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.
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