High-order non-reflecting boundary scheme for time-dependent waves
type: Item
instance of: scholarly article
title: High-order non-reflecting boundary scheme for time-dependent waves
zbMATH Open document ID: 1025.65049
DOI: 10.1016/S0021-9991(03)00005-6
author: Dan Givoli
author: Beny Neta
published in: Journal of Computational Physics
publication date: 2003-05-20T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 78A50
Mathematics Subject Classification ID: 78M20
zbMATH DE Number: 1913920
zbMATH Keywords: Klein-Gordon equation
zbMATH Keywords: artificial boundary
zbMATH Keywords: linear time-dependent wave equation
zbMATH Keywords: semi-infinite wave guide
zbMATH Keywords: high-order non-reflecting boundary condition
zbMATH Keywords: finite difference
zbMATH Keywords: auxiliary variables
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
cites work: Q4024095
cites work: Non-reflecting boundary conditions
cites work: Numerical solution of problems on unbounded domains. A review
cites work: Q4938225
cites work: Radiation boundary conditions for acoustic and elastic wave calculations
cites work: Radiation boundary conditions for wave-like equations
cites work: Exact non-reflecting boundary conditions
cites work: Non-reflecting boundary conditions for elastic waves
cites work: Artificial Boundary Conditions for the Numerical Solution of External Viscous Flow Problems
cites work: A perfectly matched layer for the absorption of electromagnetic waves
cites work: Q4326958
cites work: Exact Nonreflecting Boundary Conditions for the Time Dependent Wave Equation
cites work: Nonreflecting boundary conditions for time-dependent scattering
cites work: Exact Nonreflecting Boundary Condition For Elastic Waves
cites work: Q4278658
cites work: Q4332589
cites work: A formulation of asymptotic and exact boundary conditions using local operators
cites work: CONTINUED-FRACTION ABSORBING BOUNDARY CONDITIONS FOR THE WAVE EQUATION
cites work: High-order nonreflecting boundary conditions without high-order derivatives
cites work: An optimal high-order non-reflecting finite element scheme for wave scattering problems
cites work: Absorbing PML boundary layers for wave-like equations
cites work: The Perfectly Matched Layer in Curvilinear Coordinates
cites work: Nonreflecting boundary conditions based on Kirchhoff-type formulae
cites work: Highly accurate non-reflecting boundary conditions for finite element simulations of transient acoustics problems
cites work: A spatially exact non-reflecting boundary condition for time dependent problems
cites work: Time-stepping schemes for systems of Volterra integro-differential equations
cites work: A space-time finite element method for structural acoustics in infinite domains. I: Formulation, stability and convergence. II: Exact time-dependent non-reflecting boundary conditions
cites work: Rapid Evaluation of Nonreflecting Boundary Kernels for Time-Domain Wave Propagation
cites work: An integral evolution formula for the wave equation
cites work: Q4700743
cites work: Accurate radiation boundary conditions for the time-dependent wave equation on unbounded domains
cites work: Unified formulation of radiation conditions for the wave equation
cites work: Q3199050
cites work: Radiation Boundary Conditions for Dispersive Waves
cites work: Absorbing Boundary Conditions for Difference Approximations to the Multi-Dimensional Wave Equation
cites work: Numerical Absorbing Boundary Conditions for the Wave Equation
cites work: Radiation Boundary Conditions for Elastic Wave Propagation
cites work: Absorbing boundary conditions for acoustic and elastic waves in stratified media
cites work: High-order non-reflecting boundary conditions for dispersive waves
cites work: Mathematical analysis of absorbing boundary conditions for the wave equation: the corner problem
cites work: A simple boundary condition for unbounded hyperbolic flows
cites work: Open boundary conditions for obliquely propagating nonlinear shallow-water waves in a wave channel
cites work: Symmetric linear multistep methods for second-order differential equations with periodic solutions
full work available at URL: s0021-9991(03)00005-6
OpenAlex ID: W2125791194
Recommended article: High-order non-reflecting boundary conditions for dispersive waves
Recommended article: An efficient high-order boundary element method for nonlinear wave-wave and wave-body interactions
Recommended article: High-Order Time Discretization of The Wave Equation by Nabla-P Scheme.
Recommended article: Q3610114
Recommended article: High order finite difference methods for the wave equation with non-conforming grid interfaces
Recommended article: High-order compact schemes for nonlinear dispersive waves
Recommended article: Finite element formulation with high-order absorbing boundary conditions for time-dependent waves
Recommended article: Nonreflective boundary conditions for high-order methods
Recommended article: Time Compact High Order Difference Methods for Wave Propagation
Recommended article: Implementation of exact non-reflecting boundary conditions in the finite element method for the time-dependent wave equation
description: scientific article; zbMATH DE number 1913920