Topological sensitivity analysis for the modified Helmholtz equation under an impedance condition on the boundary of a hole

DOI10.1016/j.matpur.2014.07.003zbMath1311.35068OpenAlexW1976963404MaRDI QIDQ488024

Grégory Vial, Bessem Samet, Mohamed Jleli

Publication date: 23 January 2015

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2014.07.003

zbMATH Keywords

shape optimizationinverse scatteringmodified Helmholtz equationtopological sensitivitycavity identificationimpedance condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05) PDEs in connection with control and optimization (35Q93)

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Uses Software

• MELINA

Cites Work

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