On nonreflecting boundary conditions
type: Item
instance of: scholarly article
title: On nonreflecting boundary conditions
zbMATH Open document ID: 0841.65099
author: Marcus J. Grote
author: Joseph B. Keller
published in: Journal of Computational Physics
publication date: 1996-07-25T00:00:00Z
review text: This paper contributes to the study of nonreflecting boundary conditions at artificial boundaries for use with the Helmholtz equation. The following developments are covered: -- How to remove the difficulties that arise when the exact Dirichlet-to-Neumann condition is truncated? -- The exact boundary condition for elliptical and spheroidal coordinates and the approximate local boundary conditions. -- A sequence of new and more accurate local boundary conditions is derived for polar coordinates in two dimensions. -- Some numerical results are presented.
reviewed by: N. F. F. Ebecken
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 851734
zbMATH Keywords: nonreflecting boundary conditions
zbMATH Keywords: artificial boundaries
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: Dirichlet-to-Neumann condition
zbMATH Keywords: numerical results
MaRDI profile type: Publication
OpenAlex ID: W1973808722
DOI: 10.1006/JCPH.1995.1210
description: scientific article; zbMATH DE number 851734