Absorbing boundary conditions for the elastic wave equations
type: Item
instance of: scholarly article
title: Absorbing boundary conditions for the elastic wave equations
zbMATH Open document ID: 0659.65089
DOI: 10.1016/0096-3003(88)90130-0
published in: Applied Mathematics and Computation
publication date: 1988-01-01T00:00:00Z
review text: The paper deals with two-dimensional elastic wave equations and the problem of artificial boundary conditions, which are used for construction of finite-difference schemes. Three different methods for derivation of the radiating boundary conditions are presented, one of which gives the exact absorbing boundary conditions for both the transversal and longitudinal waves generated from a surface source. From this, the approximate boundary conditions are derived.
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 35L05
zbMATH DE Number: 4078688
zbMATH Keywords: elastic wave equations
zbMATH Keywords: artificial boundary conditions
zbMATH Keywords: finite-difference schemes
zbMATH Keywords: radiating boundary conditions
zbMATH Keywords: absorbing boundary conditions
zbMATH Keywords: transversal and longitudinal waves
author: J. Sochacki
MaRDI profile type: Publication
full work available at URL: 0096-3003(88)90130-0
OpenAlex ID: W2142045657
cites work: Absorbing Boundary Conditions for the Numerical Simulation of Waves
cites work: Radiation boundary conditions for acoustic and elastic wave calculations
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cites work: ``Free-space'' boundary conditions for the time dependent wave equation
cites work: A nonreflecting plane boundary for wave propagation problems
cites work: Well-Posedness of One-Way Wave Equations and Absorbing Boundary Conditions
description: scientific article; zbMATH DE number 4078688