Transparent boundary conditions for split-step Padé approximations of the one-way Helmholtz equation

DOI10.1006/jcph.2001.6757zbMath0988.65103OpenAlexW2070398763MaRDI QIDQ5943858

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Publication date: 19 February 2002

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

Full work available at URL: https://semanticscholar.org/paper/d8465d0be74c5ea16d3158bc1b3ca55825a60c79

zbMATH Keywords

transparent boundary conditionswide-angle approximationHelmholtz equationfinite-element method

Mathematics Subject Classification ID

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 (6)

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 ⋮ Transparent boundary conditions for a wide-angle approximation of the one-way Helmholtz equation ⋮ Discrete transparent boundary conditions for Schrödinger-type equations for non-compactly supported initial data ⋮ A comparison of transparent boundary conditions for the Fresnel equation

Cites Work

• Discrete transparent boundary conditions for wide angle parabolic equations in underwater acoustics
• Discrete transparent boundary conditions for Schrödinger-type equations
• Discrete transparent boundary conditions for the numerical solution of Fresnel's equation
• Construction of discrete transparent boundary conditions for Schrödinger-type equations
• Parabolic Wave Equation Approximations in Heterogenous Media
• Higher Order Paraxial Wave Equation Approximations in Heterogeneous Media
• Well-Posedness of One-Way Wave Equations and Absorbing Boundary Conditions
• Transparent boundary conditions for a wide-angle approximation of the one-way Helmholtz equation

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