Nonreflecting boundary conditions for the time-dependent wave equation

From MaRDI portal
Publication:697777

DOI10.1006/jcph.2002.7093zbMath1002.65096OpenAlexW2155858022MaRDI QIDQ697777

Thomas M. Hagstrom, Leslie F. Greengard, Bradley K. Alpert

Publication date: 17 September 2002

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

Full work available at URL: https://semanticscholar.org/paper/bde9ca679b9240b8d31e36a899cfc714fbdc3fe8




Related Items

Rapid evaluation of two-dimensional retarded time integralsRapid evaluation of radiation boundary kernels for time-domain wave propagation on black holes: theory and numerical methodsExplicit finite element artificial boundary scheme for transient scalar waves in two-dimensional unbounded waveguideHigh-order accurate schemes for Maxwell's equations with nonlinear active media and material interfacesStable absorbing boundary conditions for molecular dynamics in general domainsNumerical simulation of a modified KdV equation on the whole real axisMathematical analysis of absorbing boundary conditions for the wave equation: the corner problemA bootstrap method for sum-of-poles approximationsSimulation of elastic guided waves interacting with defects in arbitrarily long structures using the scaled boundary finite element methodDirect and inverse elastic scattering from anisotropic mediaNonreflecting boundary conditions for the time-dependent convective wave equation in a ductOn the accuracy and stability of the perfectly matched layer in transient waveguidesFast parallel IGA-AdS solver for time-dependent Maxwell's equationsArtificial boundary conditions for the numerical simulation of unsteady acoustic waves.Numerical solution to a linearized time fractional KdV equation on unbounded domainsAnalysis of the anomalous diffusion in comb structure with absorbing boundary conditionsCross‐impact of beam local wavenumbers on the efficiency of self‐adaptive artificial boundary conditions for two‐dimensional nonlinear Schrödinger equationApproximate open boundary conditions for a class of hyperbolic equationsExact boundary condition for time-dependent wave equation based on boundary integralA method of solving the coefficient inverse problems of wave tomographyA reflectionless discrete perfectly matched layerTime-Domain Stability of Artificial Boundary Condition Coupled with Finite Element for Dynamic and Wave Problems in Unbounded MediaA survey on artificial boundary methodExact artificial boundary conditions for problems with periodic structuresMultiscale resolution of shortwave‐longwave interactionAn Efficient Second-Order Finite Difference Method for the One-Dimensional Schrödinger Equation with Absorbing Boundary ConditionsAn elementary introduction to the construction and the analysis of perfectly matched layers for time domain wave propagationOn partial spherical means formulas and radiation boundary conditions for the 3+1 wave equationMethod of lines transpose: an efficient unconditionally stable solver for wave propagationImplementation of nonreflecting boundary conditions for the nonlinear Euler equationsOn approximation of functions by exponential sumsRadiation boundary conditions for time-dependent waves based on complete plane wave expansionsStable numerical coupling of exterior and interior problems for the wave equationAn efficient model for three-dimensional surface wave simulations. II: Generation and absorptionAnalysis of time-domain Maxwell's equations in biperiodic structuresOn time-domain NRBC for Maxwell's equations and its application in accurate simulation of electromagnetic invisibility cloaksAnalysis of time-domain scattering by periodic structuresAbsorbing Boundary ConditionsSummation-By-Parts in Time: The Second DerivativeA high-order super-grid-scale absorbing layer and its application to linear hyperbolic systemsStable high-order absorbing boundary condition based on new continued fraction for scalar wave propagation in unbounded multilayer mediaHigh-order doubly asymptotic open boundaries for scalar wave equationAnalysis of Transient Electromagnetic Scattering from a Three-Dimensional Open CavityExperiments with approximate radiation boundary conditions for computational aeroacousticsApplication of transparent boundary conditions to high-order finite-difference schemes for the wave equation in waveguidesHybrid absorbing scheme based on hyperelliptical layers with non-reflecting boundary conditions in scalar wave equationsContinuum and discrete initial-boundary value problems and Einstein's field equationsEfficient sum-of-exponentials approximations for the heat kernel and their applications



Cites Work


This page was built for publication: Nonreflecting boundary conditions for the time-dependent wave equation