Generalized impedance boundary conditions and shape derivatives for 3D Helmholtz problems
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Publication:2819165
DOI10.1142/S0218202516500500zbMath1346.35017MaRDI QIDQ2819165
Djalil Kateb, Frédérique Le Louër
Publication date: 28 September 2016
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Sensitivity analysis for optimization problems on manifolds (49Q12)
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Shape sensitivity analysis for elastic structures with generalized impedance boundary conditions of the Wentzell type -- application to compliance minimization ⋮ Reconstruction of generalized impedance functions for 3D acoustic scattering ⋮ Thin layer approximations in mechanical structures: the Dirichlet boundary condition case
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