On mean value solutions for the Helmholtz equation on square grids
type: Item
instance of: scholarly article
title: On mean value solutions for the Helmholtz equation on square grids
zbMATH Open document ID: 1005.65117
DOI: 10.1016/S0168-9274(01)00127-1
author: João B. R. do Val
author: Marinho G. Andrade
published in: Applied Numerical Mathematics
publication date: 2002-08-22T00:00:00Z
review text: The authors present a complete study on the mean value solutions for the Helmholtz equation on square grids using a five point finite difference formula with improve accuracy. The homogeneous and non-homogeneous parts are evaluated in separate expressions and the precision error yielded is of order \(O(h^2)\). Numerical experiments are performed for comparison and illustration.
reviewed by: Prabhat Kumar Mahanti
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 1787714
zbMATH Keywords: numerical experiments
zbMATH Keywords: finite difference method
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: error bounds
zbMATH Keywords: mean value solutions
zbMATH Keywords: square grids
MaRDI profile type: Publication
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full work available at URL: s0168-9274(01)00127-1
OpenAlex ID: W2076920971
description: scientific article; zbMATH DE number 1787714