Un résultat d'existence et d'unicité pour l'équation de Helmholtz avec conditions aux limites absorbantes d'ordre

DOI10.1016/S0764-4442(00)88592-4zbMath0929.35031MaRDI QIDQ4265649

Stéphanie Lohrengel, Patrick Joly, Olivier Vacus

Publication date: 11 November 1999

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

zbMATH Keywords

Neumann boundary conditioncorner conditionssingularities of the Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Qualitative properties of solutions to partial differential equations (35B99)

Related Items (6)

Mathematical analysis of absorbing boundary conditions for the wave equation: the corner problem ⋮ Dirichlet to Neumann map for domains with corners and approximate boundary conditions ⋮ An effective relaxed alternating procedure for Cauchy problem connected with Helmholtz Equation ⋮ Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering ⋮ Corners and stable optimized domain decomposition methods for the Helmholtz problem ⋮ Bérenger/Maxwell with discontinous absorptions: existence, perfection, and no loss

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