Inhomogeneous conditions at open boundaries for wave propagation problems
type: Item
instance of: scholarly article
title: Inhomogeneous conditions at open boundaries for wave propagation problems
zbMATH Open document ID: 0642.65065
DOI: 10.1016/S0168-9274(88)80003-5
author: Bertil Gustafsson
published in: Applied Numerical Mathematics
publication date: 1988-01-01T00:00:00Z
review text: Wave propagation problems with absorbing boundary conditions are treated. The approximations are known to become weakly unstable. This difficulty is more pronounced for inhomogeneous boundary conditions. In this paper this is further investigated and it is shown that reasonable estimates can still be obtained if the solution is smooth. An implementation of high-order conditions for first-order systems is described. The purpose of this paper is to illuminate the influence of the weak instabilities inherent with higher-order derivatives in the boundary conditions, and how to remove them. These principles can also be applied to problems which are not of pure wave-propagation type.
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35L45
zbMATH DE Number: 4046998
zbMATH Keywords: Wave propagation
zbMATH Keywords: absorbing boundary conditions
zbMATH Keywords: weakly unstable
zbMATH Keywords: first- order systems
MaRDI profile type: Publication
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full work available at URL: s0168-9274(88)80003-5
OpenAlex ID: W2094143220
description: scientific article; zbMATH DE number 4046998