High order numerical Sommerfeld boundary conditions: Theory and experiments
type: Item
instance of: scholarly article
title: High order numerical Sommerfeld boundary conditions: Theory and experiments
zbMATH Open document ID: 0578.65117
DOI: 10.1016/0898-1221(85)90138-5
author: E. C. Pariser
author: Robert Vichnevetsky
publication date: 1985-01-01T00:00:00Z
review text: For a semidiscrete approximation of a simple hyperbolic advection equation non-reflecting boundary conditions are constructed. These boundary conditions are based on the Sommerfeld radiation conditions. It is shown that the boundary conditions obtained are optimal in some sense. Results for the Crank-Nicolson difference scheme are given too.
Mathematics Subject Classification ID: 65N40
Mathematics Subject Classification ID: 35L50
zbMATH DE Number: 3926173
zbMATH Keywords: advection equation
zbMATH Keywords: non-reflecting boundary conditions
zbMATH Keywords: Sommerfeld radiation conditions
zbMATH Keywords: Crank-Nicolson
reviewed by: Yuri I. Shokin
MaRDI profile type: Publication
full work available at URL: 0898-1221(85)90138-5
OpenAlex ID: W1965023554
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 3926173