Une caractérisation de l'orthogonal de Δ(H2(Ω) ∩ H01(Ω)) dans L2(Ω)

DOI10.1016/S0764-4442(97)84769-6zbMath0892.35043OpenAlexW2074725399MaRDI QIDQ4379168

Franck Assous, Patrick~jun. Ciarlet

Publication date: 3 August 1998

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(97)84769-6

zbMATH Keywords

nonconvex polyhedral domaindecomposition of the solution of Maxwell's equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with optics and electromagnetic theory (35Q60) General theory of partial differential operators (47F05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Analysis of a Peaceman-Rachford ADI scheme for Maxwell equations in heterogeneous media ⋮ Mathematical Determination of the Fréchet Derivative with Respect to the Domain for a Fluid-Structure Scattering Problem: Case of Polygonal-Shaped Domains ⋮ Time-dependent Maxwell's equations with charges in singular geometries ⋮ Characterization of the singular part of the solution of Maxwell's equations in a polyhedral domain ⋮ Singular electromagnetic fields: inductive approach ⋮ Analysis of a dimension splitting scheme for Maxwell equations with low regularity in heterogeneous media ⋮ SINGULARITIES AND DENSITY PROBLEMS FOR COMPOSITE MATERIALS IN ELECTROMAGNETISM

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