The approximation of exterior Neumann problems in a halfspace by means of problems with compact boundary

DOI10.1017/S0308210500018564zbMath0681.35027OpenAlexW2068497702MaRDI QIDQ4730153

Ronald New, Ronald I. Becker

Publication date: 1989

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500018564

zbMATH Keywords

Fredholm integral equationsHelmholtz equationNeumann seriesexterior Neumann problemnear fieldpistonbaffled

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Geometric theory, characteristics, transformations in context of PDEs (35A30) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Cites Work

• Discrete and continuous boundary problems
• Piston radiator: Some extensions of the theory

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