Transparent boundary conditions for a wide-angle approximation of the one-way Helmholtz equation

DOI10.1006/jcph.2000.6637zbMath0974.65103OpenAlexW2012246488MaRDI QIDQ5928912

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Publication date: 16 December 2001

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/b10a49e73b7486c9854b77385a21fc908be70d74

zbMATH Keywords

Mikusinski's operational calculusone-way Helmholtz equationtransparent boundary conditionswide-angle approximation

Mathematics Subject Classification ID

Calculus of Mikusi?ski and other operational calculi (44A40) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

Discrete non-local boundary conditions for split-step Padé approximations of the one-way Helmholtz equation ⋮ Asymptotic solutions of the leaky modes and PML modes in a pekeris waveguide ⋮ Analytic discrete transparent boundary conditions for high-order Padé parabolic equations ⋮ A comparison of transparent boundary conditions for the Fresnel equation ⋮ Transparent boundary conditions for split-step Padé approximations of the one-way Helmholtz equation

Cites Work

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• Construction of discrete transparent boundary conditions for Schrödinger-type equations
• Numerical Absorbing Boundary Conditions for the Wave Equation
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Transparent boundary conditions for split-step Padé approximations of the one-way Helmholtz equation

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