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The domain interface method: a general-purpose non-intrusive technique for non-conforming domain decomposition problems

A domain decomposition technique is proposed which is capable of properly connecting arbitrary non-conforming interfaces. The strategy essentially consists in considering a fictitious zero-width interface between the non-matching meshes which is discretized using a Delaunay triangulation. Continuity...

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Detalles Bibliográficos
Autores principales: Cafiero, M., Lloberas-Valls, O., Cante, J., Oliver, J.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2015
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4922449/
https://www.ncbi.nlm.nih.gov/pubmed/27429502
http://dx.doi.org/10.1007/s00466-015-1239-x
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author Cafiero, M.
Lloberas-Valls, O.
Cante, J.
Oliver, J.
author_facet Cafiero, M.
Lloberas-Valls, O.
Cante, J.
Oliver, J.
author_sort Cafiero, M.
collection PubMed
description A domain decomposition technique is proposed which is capable of properly connecting arbitrary non-conforming interfaces. The strategy essentially consists in considering a fictitious zero-width interface between the non-matching meshes which is discretized using a Delaunay triangulation. Continuity is satisfied across domains through normal and tangential stresses provided by the discretized interface and inserted in the formulation in the form of Lagrange multipliers. The final structure of the global system of equations resembles the dual assembly of substructures where the Lagrange multipliers are employed to nullify the gap between domains. A new approach to handle floating subdomains is outlined which can be implemented without significantly altering the structure of standard industrial finite element codes. The effectiveness of the developed algorithm is demonstrated through a patch test example and a number of tests that highlight the accuracy of the methodology and independence of the results with respect to the framework parameters. Considering its high degree of flexibility and non-intrusive character, the proposed domain decomposition framework is regarded as an attractive alternative to other established techniques such as the mortar approach.
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spelling pubmed-49224492016-07-13 The domain interface method: a general-purpose non-intrusive technique for non-conforming domain decomposition problems Cafiero, M. Lloberas-Valls, O. Cante, J. Oliver, J. Comput Mech Original Paper A domain decomposition technique is proposed which is capable of properly connecting arbitrary non-conforming interfaces. The strategy essentially consists in considering a fictitious zero-width interface between the non-matching meshes which is discretized using a Delaunay triangulation. Continuity is satisfied across domains through normal and tangential stresses provided by the discretized interface and inserted in the formulation in the form of Lagrange multipliers. The final structure of the global system of equations resembles the dual assembly of substructures where the Lagrange multipliers are employed to nullify the gap between domains. A new approach to handle floating subdomains is outlined which can be implemented without significantly altering the structure of standard industrial finite element codes. The effectiveness of the developed algorithm is demonstrated through a patch test example and a number of tests that highlight the accuracy of the methodology and independence of the results with respect to the framework parameters. Considering its high degree of flexibility and non-intrusive character, the proposed domain decomposition framework is regarded as an attractive alternative to other established techniques such as the mortar approach. Springer Berlin Heidelberg 2015-12-28 2016 /pmc/articles/PMC4922449/ /pubmed/27429502 http://dx.doi.org/10.1007/s00466-015-1239-x Text en © The Author(s) 2015 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 Original Paper
Cafiero, M.
Lloberas-Valls, O.
Cante, J.
Oliver, J.
The domain interface method: a general-purpose non-intrusive technique for non-conforming domain decomposition problems
title The domain interface method: a general-purpose non-intrusive technique for non-conforming domain decomposition problems
title_full The domain interface method: a general-purpose non-intrusive technique for non-conforming domain decomposition problems
title_fullStr The domain interface method: a general-purpose non-intrusive technique for non-conforming domain decomposition problems
title_full_unstemmed The domain interface method: a general-purpose non-intrusive technique for non-conforming domain decomposition problems
title_short The domain interface method: a general-purpose non-intrusive technique for non-conforming domain decomposition problems
title_sort domain interface method: a general-purpose non-intrusive technique for non-conforming domain decomposition problems
topic Original Paper
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4922449/
https://www.ncbi.nlm.nih.gov/pubmed/27429502
http://dx.doi.org/10.1007/s00466-015-1239-x
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