Une analyse de la méthode des domaines fictifs pour le problème de Helmholtz extérieur

DOI10.1051/m2an/1993270302511zbMath0807.65069OpenAlexW2476178965MaRDI QIDQ4694992

Patrick Joly, C. Atamian

Publication date: 16 June 1993

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193703

zbMATH Keywords

optimal controlconvergencenumerical resultsLagrange multiplierpotential theorydiffractionfictitious domain methodharmonic wavecapacitance matrix methodexterior Helmholtz problemregularization- penalization method

Mathematics Subject Classification ID

Numerical methods involving duality (49M29) Numerical optimization and variational techniques (65K10) PDEs in connection with optics and electromagnetic theory (35Q60) Diffraction, scattering (78A45) Applications to the sciences (65Z05) Existence theories for optimal control problems involving partial differential equations (49J20)

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Cites Work

• Scattering theory for the d'Alembert equation in exterior domains
• Perturbation of mixed variational problems. Application to mixed finite element methods
• A Finite Element-Capacitance Matrix Method for the Neumann Problem for Laplace’s Equation
• On the Numerical Solution of Helmholtz's Equation by the Capacitance Matrix Method
• Method of fictitious domains for a second-order elliptic equation with natural boundary conditions
• Numerical Solution of an Exterior Neumann Problem Using a Double Layer Potential
• Capacitance Matrix Methods for the Helmholtz Equation on General Three-Dimensional Regions
• The Direct Solution of the Discrete Poisson Equation on Irregular Regions
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