文章基本信息

标题：Topological derivatives for semilinear elliptic equations
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作者：Mohamed Iguernane ; Serguei A. Nazarov ; Jean-Rodolphe Roche 等
期刊名称：International Journal of Applied Mathematics and Computer Science
电子版ISSN：2083-8492
出版年度：2009
卷号：19
期号：2
DOI：10.2478/v10006-009-0016-4
出版社：De Gruyter Open
摘要：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
关键词：shape optimization; topological derivative; levelset method; variational inequality; asymptotic analysis