A new method for numerical solution of checkerboard fields

We consider a generalized version of the standard checkerboard and discuss the difficulties of finding the corresponding field by standard numerical treatment. A new numerical method is presented which converges independently of the local conductivities.

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Bibliographic Details
Main Authors: Stein A. Berggren, Dag Lukkassen, Annette Meidell, Leon Simula
Format: Article
Language:English
Published: Wiley 2001-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/S1110757X01000316
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author Stein A. Berggren
Dag Lukkassen
Annette Meidell
Leon Simula
author_facet Stein A. Berggren
Dag Lukkassen
Annette Meidell
Leon Simula
author_sort Stein A. Berggren
collection DOAJ
description We consider a generalized version of the standard checkerboard and discuss the difficulties of finding the corresponding field by standard numerical treatment. A new numerical method is presented which converges independently of the local conductivities.
format Article
id doaj-art-e66a7c9873924789bea13cdcdfb6b4b0
institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2001-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-e66a7c9873924789bea13cdcdfb6b4b02025-08-20T03:26:04ZengWileyJournal of Applied Mathematics1110-757X1687-00422001-01-011415717310.1155/S1110757X01000316A new method for numerical solution of checkerboard fieldsStein A. Berggren0Dag Lukkassen1Annette Meidell2Leon Simula3Narvik University College, P.O. Box 385, Narvik N-8505, NorwayNarvik University College, P.O. Box 385, Narvik N-8505, NorwayNarvik University College, P.O. Box 385, Narvik N-8505, NorwayNarvik University College, P.O. Box 385, Narvik N-8505, NorwayWe consider a generalized version of the standard checkerboard and discuss the difficulties of finding the corresponding field by standard numerical treatment. A new numerical method is presented which converges independently of the local conductivities.http://dx.doi.org/10.1155/S1110757X01000316
spellingShingle Stein A. Berggren
Dag Lukkassen
Annette Meidell
Leon Simula
A new method for numerical solution of checkerboard fields
Journal of Applied Mathematics
title A new method for numerical solution of checkerboard fields
title_full A new method for numerical solution of checkerboard fields
title_fullStr A new method for numerical solution of checkerboard fields
title_full_unstemmed A new method for numerical solution of checkerboard fields
title_short A new method for numerical solution of checkerboard fields
title_sort new method for numerical solution of checkerboard fields
url http://dx.doi.org/10.1155/S1110757X01000316
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AT steinaberggren newmethodfornumericalsolutionofcheckerboardfields
AT daglukkassen newmethodfornumericalsolutionofcheckerboardfields
AT annettemeidell newmethodfornumericalsolutionofcheckerboardfields
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