Nonreflecting boundary condition for the Helmholtz equation

DOI10.1016/S0898-1221(00)00275-3zbMath1013.35017MaRDI QIDQ5948709

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Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

acoustic scatteringexact boundary conditionsfinite number of spherical harmonicsspherical artificial boundary

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Theoretical approximation in context of PDEs (35A35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

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• Exact non-reflecting boundary conditions
• Numerically derived boundary conditions on artificial boundaries
• Sparse boundary conditions on artificial boundaries for three-dimensional potential problems
• The asymptotic solution of linear differential equations of the second order for large values of a parameter
• Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions

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