Schwarz alternating methods for anisotropic problems with prolate spheroid boundaries

The Schwarz alternating algorithm, which is based on natural boundary element method, is constructed for solving the exterior anisotropic problem in the three-dimension domain. The anisotropic problem is transformed into harmonic problem by using the coordinate transformation. Correspondingly, the a...

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Detalles Bibliográficos
Autores principales: Dai, Zhenlong, Du, Qikui, Liu, Baoqing
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5001969/
https://www.ncbi.nlm.nih.gov/pubmed/27625977
http://dx.doi.org/10.1186/s40064-016-3063-y
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author Dai, Zhenlong
Du, Qikui
Liu, Baoqing
author_facet Dai, Zhenlong
Du, Qikui
Liu, Baoqing
author_sort Dai, Zhenlong
collection PubMed
description The Schwarz alternating algorithm, which is based on natural boundary element method, is constructed for solving the exterior anisotropic problem in the three-dimension domain. The anisotropic problem is transformed into harmonic problem by using the coordinate transformation. Correspondingly, the algorithm is also changed. Continually, we analysis the convergence and the error estimate of the algorithm. Meanwhile, we give the contraction factor for the convergence. Finally, some numerical examples are computed to show the efficiency of this algorithm.
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spelling pubmed-50019692016-09-13 Schwarz alternating methods for anisotropic problems with prolate spheroid boundaries Dai, Zhenlong Du, Qikui Liu, Baoqing Springerplus Research The Schwarz alternating algorithm, which is based on natural boundary element method, is constructed for solving the exterior anisotropic problem in the three-dimension domain. The anisotropic problem is transformed into harmonic problem by using the coordinate transformation. Correspondingly, the algorithm is also changed. Continually, we analysis the convergence and the error estimate of the algorithm. Meanwhile, we give the contraction factor for the convergence. Finally, some numerical examples are computed to show the efficiency of this algorithm. Springer International Publishing 2016-08-26 /pmc/articles/PMC5001969/ /pubmed/27625977 http://dx.doi.org/10.1186/s40064-016-3063-y Text en © The Author(s) 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Dai, Zhenlong
Du, Qikui
Liu, Baoqing
Schwarz alternating methods for anisotropic problems with prolate spheroid boundaries
title Schwarz alternating methods for anisotropic problems with prolate spheroid boundaries
title_full Schwarz alternating methods for anisotropic problems with prolate spheroid boundaries
title_fullStr Schwarz alternating methods for anisotropic problems with prolate spheroid boundaries
title_full_unstemmed Schwarz alternating methods for anisotropic problems with prolate spheroid boundaries
title_short Schwarz alternating methods for anisotropic problems with prolate spheroid boundaries
title_sort schwarz alternating methods for anisotropic problems with prolate spheroid boundaries
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5001969/
https://www.ncbi.nlm.nih.gov/pubmed/27625977
http://dx.doi.org/10.1186/s40064-016-3063-y
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