High Order Topological Asymptotics: Reconciling Layer Potentials and Compound Asymptotic Expansions

DOI10.1137/21M1461277zbMath1501.35033OpenAlexW4226322557MaRDI QIDQ5048124

F. Feppon, Habib Ammari

Publication date: 17 November 2022

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/21m1461277

zbMATH Keywords

exterior Dirichlet problemlayer potentialscompound asymptotic expansionstopological asymptoticsperiodic cell problemDeny-Lions spaces

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Periodic solutions to PDEs (35B10) Asymptotics of solutions to integral equations (45M05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (3)

Singular behavior for a multi-parameter periodic Dirichlet problem ⋮ Multiscale topology optimization of modulated fluid microchannels based on asymptotic homogenization ⋮ The functional analytic approach for quasi-periodic boundary value problems for the Helmholtz equation

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