A general approach for high order absorbing boundary conditions for the Helmholtz equation

DOI10.1016/j.jcp.2013.01.032zbMath1327.78014OpenAlexW2053857640MaRDI QIDQ401549

Asaf Zarmi, Eli Turkel

Publication date: 27 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.01.032

zbMATH Keywords

unbounded domainHelmholtz equationabsorbing boundary conditions (ABC)Bayliss-Turkel ABC

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Numerical methods for partial differential equations, boundary value problems (65N99)

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Isogeometric collocation for acoustic problems with higher-order boundary conditions ⋮ Compact high order schemes with gradient-direction derivatives for absorbing boundary conditions ⋮ The Power of Trefftz Approximations: Finite Difference, Boundary Difference and Discontinuous Galerkin Methods; Nonreflecting Conditions and Non-Asymptotic Homogenization ⋮ High order methods for acoustic scattering: coupling farfield expansions ABC with deferred-correction methods ⋮ High order local absorbing boundary conditions for acoustic waves in terms of farfield expansions ⋮ Unnamed Item ⋮ The half-space matching method for elastodynamic scattering problems in unbounded domains ⋮ An Efficient Cartesian Grid-Based Method for Scattering Problems with Inhomogeneous Media ⋮ Solving Helmholtz equation at high wave numbers in exterior domains ⋮ High order surface radiation conditions for time-harmonic waves in exterior domains ⋮ Direct implementation of high order BGT artificial boundary conditions

Cites Work

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• Absorbing Boundary Conditions for the Numerical Simulation of Waves
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