A parallelizable iterative procedure for the Helmholtz problem
type: Item
instance of: scholarly article
title: A parallelizable iterative procedure for the Helmholtz problem
zbMATH Open document ID: 0805.65100
DOI: 10.1016/0168-9274(94)00006-9
author: Seongjai Kim
published in: Applied Numerical Mathematics
publication date: 1994-07-21T00:00:00Z
review text: This paper proposes a finite difference approach for solving the Helmholtz problem. The importance of this approach lies in the use of a parallel computational technique which is known to be suitable for real life applications because of the remarkable speed it provides for the solution to converge. The author supports the proposed technique by sound theoretical foundations and provides tutorials to demonstrate the application of this parallelizable iterative procedure on one- and two- dimensional problems. For this, a method for choosing the algorithm parameters is presented. This paper makes a good contribution to the field of numerical mathematics and can be successfully implemented by electrical engineers working on high frequency electromagnetic problems and by those interested in the finite difference and parallel computation techniques.
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 78A25
zbMATH DE Number: 609607
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: finite difference method
zbMATH Keywords: iterative procedure
zbMATH Keywords: high frequency electromagnetic problems
zbMATH Keywords: parallel computation
reviewed by: Riad B. Chedid
MaRDI profile type: Publication
full work available at URL: 0168-9274(94)00006-9
OpenAlex ID: W2045258444
cites work: An iterative method for the Helmholtz equation
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cites work: An alternating-direction iteration method for Helmholtz problems
cites work: FREQUENCY DOMAIN TREATMENT OF ONE-DIMENSIONAL SCALAR WAVES
cites work: Q3486792
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description: scientific article; zbMATH DE number 609607