A comparative study of absorbing boundary conditions
type: Item
instance of: scholarly article
title: A comparative study of absorbing boundary conditions
zbMATH Open document ID: 0655.65134
DOI: 10.1016/0021-9991(88)90159-3
author: Jeffrey G. Blaschak
author: G. A. Kriegsmann
published in: Journal of Computational Physics
publication date: 1988-01-01T00:00:00Z
review text: An explicit finite difference scheme is used for solving the Maxwell equations for two-dimensional electromagnetic wave propagation. For transverse magnetic polarization a simple system of hyperbolic equations with constant coefficients can be written. The grid parameters are chosen so that stability of the explicit scheme is satisfied. The values of electrical and magnetical fields are evaluated in the nodal points of two grids placed on half-space step and half-time step with respect to each other. For generating boundary conditions which limit the infinite domain of wave propagation the wave operator is factorized to two pseudodifferential operators containing radicals. Various types of approximation of the radicals produce absorbing boundary conditions (one- way wave equations). In the paper (2,0) type polynomial and (2,2) type rational Padé approximations are used. Numerical experiments are realized for these boundary conditions and the numerical results are discussed.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 78A40
Mathematics Subject Classification ID: 35S15
Mathematics Subject Classification ID: 35L05
zbMATH DE Number: 4070253
zbMATH Keywords: electrodynamic waves
zbMATH Keywords: absorbing boundary conditions
zbMATH Keywords: numerical examples
zbMATH Keywords: explicit finite difference scheme
zbMATH Keywords: Maxwell equations
zbMATH Keywords: two-dimensional electromagnetic wave propagation
zbMATH Keywords: magnetic polarization
zbMATH Keywords: stability
zbMATH Keywords: wave operator
zbMATH Keywords: pseudodifferential operators
MaRDI profile type: Publication
full work available at URL: 0021-9991(88)90159-3
OpenAlex ID: W1978724200
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description: scientific article; zbMATH DE number 4070253