Topological sensitivity analysis for the modified Helmholtz equation under an impedance condition on the boundary of a hole
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چکیده
منابع مشابه
The Topological Asymptotic for the Helmholtz Equation with Dirichlet Condition on the Boundary of an Arbitrarily Shaped Hole
The aim of the topological sensitivity analysis is to obtain an asymptotic expansion of a design functional with respect to the creation of a small hole in the domain. In this paper, such an expansion is obtained for the Helmholtz equation, in two and three space dimensions, with a Dirichlet condition on the boundary of an arbitrarily shaped hole. In this case, the main difficulty is related to...
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ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2015
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2014.07.003