Topological sensitivity analysis with respect to a small hole located at the boundary of the domain

DOI10.3233/ASY-2009-0957zbMath1185.35062OpenAlexW1501799945MaRDI QIDQ3400517

Bessem Samet

Publication date: 5 February 2010

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-2009-0957

zbMATH Keywords

singularityLaplace equationtopological derivative

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Optimization of shapes other than minimal surfaces (49Q10) Topological and monotonicity methods applied to PDEs (35A16)

Related Items (2)

Asymptotic analysis of variational inequalities with applications to optimum design in elasticity ⋮ Topological sensitivity analysis for the modified Helmholtz equation under an impedance condition on the boundary of a hole

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