INTERACTIONS BETWEEN MODERATELY CLOSE INCLUSIONS FOR THE LAPLACE EQUATION

DOI10.1142/S021820250900398XzbMath1191.35112MaRDI QIDQ3647610

Grégory Vial, Sébastien Tordeux, Marc Dambrine, Virginie Bonnaillie-Noël

Publication date: 23 November 2009

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

Laplace equationnumerical simulationsmultiscale asymptotic expansionsmall inclusionssingular shape perturbation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Asymptotic expansions of solutions to PDEs (35C20) Perturbations in context of PDEs (35B20) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

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Cites Work

• Unnamed Item
• Matching and multiscale expansions for a model singular perturbation problem
• Dirichlet and Neumann exterior problems for the \(n\)-dimensional Laplace operator. An approach in weighted Sobolev spaces
• Asymptotic analysis of shape functionals
• On moderately close inclusions for the Laplace equation
• A multiscale correction method for local singular perturbations of the boundary

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