A non-invasive implementation of mixed transmission conditions for a domain decomposition method - application to contact problems
International audience In the last years, domain decompositions methods (DDM) have been adapted to tackle large nonlinear problems, but efficiency and robustness still remains a challenge. For nonlinearity " in the volume " relocalization approaches have proved their ability to cast the gl...
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ftccsdartic:oai:HAL:hal-01852098v1 2023-05-15T17:22:31+02:00 A non-invasive implementation of mixed transmission conditions for a domain decomposition method - application to contact problems Oumaziz, Paul Gosselet, Pierre Saavedra, Karin Laboratoire de Mécanique et Technologie (LMT) École normale supérieure - Cachan (ENS Cachan)-Centre National de la Recherche Scientifique (CNRS) Universidad de Talca Projet ECOS-C17E04 St. John's, Newfoundland, Canada 2018-07-23 https://hal.archives-ouvertes.fr/hal-01852098 en eng HAL CCSD hal-01852098 https://hal.archives-ouvertes.fr/hal-01852098 25th International Domain Decomposition Conference https://hal.archives-ouvertes.fr/hal-01852098 25th International Domain Decomposition Conference, Jul 2018, St. John's, Newfoundland, Canada [SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of the structures [physics.class-ph] info:eu-repo/semantics/conferenceObject Conference papers 2018 ftccsdartic 2021-06-05T23:42:03Z International audience In the last years, domain decompositions methods (DDM) have been adapted to tackle large nonlinear problems, but efficiency and robustness still remains a challenge. For nonlinearity " in the volume " relocalization approaches have proved their ability to cast the global problem into small independent nonlinear problems on the subdomains. For surface nonlinearity, frictional contact has also been inserted in the FETI framework and the Latin method which can also deal with cohesive interfaces. The Latin DDM can be viewed as a fixed point for which an iteration is decomposed into (i) a problem verifying only the relations of the interfaces and (ii) the subdomains' equilibrium. Each step is linked to the other one through mixed transmission conditions. A non-invasive Latin DDM (i.e. without altering a FEM commercial software) has been proposed by the authors. Here, the mixed conditions were related to the stiffness of a new layer of elements patched on the subdomains' boundaries. The optimal Robin parameters for the fastest convergence depends on global data which is too expensive in a parallel implementation. This work aims at proposing an automated choice of the Robin conditions for friction contact problems in the non-invasive framework. The idea is to approach the subdomains' stiffness to adapt the one of the patched elements. Conference Object Newfoundland Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) Canada |
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Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) |
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ftccsdartic |
language |
English |
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[SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of the structures [physics.class-ph] |
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[SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of the structures [physics.class-ph] Oumaziz, Paul Gosselet, Pierre Saavedra, Karin A non-invasive implementation of mixed transmission conditions for a domain decomposition method - application to contact problems |
topic_facet |
[SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of the structures [physics.class-ph] |
description |
International audience In the last years, domain decompositions methods (DDM) have been adapted to tackle large nonlinear problems, but efficiency and robustness still remains a challenge. For nonlinearity " in the volume " relocalization approaches have proved their ability to cast the global problem into small independent nonlinear problems on the subdomains. For surface nonlinearity, frictional contact has also been inserted in the FETI framework and the Latin method which can also deal with cohesive interfaces. The Latin DDM can be viewed as a fixed point for which an iteration is decomposed into (i) a problem verifying only the relations of the interfaces and (ii) the subdomains' equilibrium. Each step is linked to the other one through mixed transmission conditions. A non-invasive Latin DDM (i.e. without altering a FEM commercial software) has been proposed by the authors. Here, the mixed conditions were related to the stiffness of a new layer of elements patched on the subdomains' boundaries. The optimal Robin parameters for the fastest convergence depends on global data which is too expensive in a parallel implementation. This work aims at proposing an automated choice of the Robin conditions for friction contact problems in the non-invasive framework. The idea is to approach the subdomains' stiffness to adapt the one of the patched elements. |
author2 |
Laboratoire de Mécanique et Technologie (LMT) École normale supérieure - Cachan (ENS Cachan)-Centre National de la Recherche Scientifique (CNRS) Universidad de Talca Projet ECOS-C17E04 |
format |
Conference Object |
author |
Oumaziz, Paul Gosselet, Pierre Saavedra, Karin |
author_facet |
Oumaziz, Paul Gosselet, Pierre Saavedra, Karin |
author_sort |
Oumaziz, Paul |
title |
A non-invasive implementation of mixed transmission conditions for a domain decomposition method - application to contact problems |
title_short |
A non-invasive implementation of mixed transmission conditions for a domain decomposition method - application to contact problems |
title_full |
A non-invasive implementation of mixed transmission conditions for a domain decomposition method - application to contact problems |
title_fullStr |
A non-invasive implementation of mixed transmission conditions for a domain decomposition method - application to contact problems |
title_full_unstemmed |
A non-invasive implementation of mixed transmission conditions for a domain decomposition method - application to contact problems |
title_sort |
non-invasive implementation of mixed transmission conditions for a domain decomposition method - application to contact problems |
publisher |
HAL CCSD |
publishDate |
2018 |
url |
https://hal.archives-ouvertes.fr/hal-01852098 |
op_coverage |
St. John's, Newfoundland, Canada |
geographic |
Canada |
geographic_facet |
Canada |
genre |
Newfoundland |
genre_facet |
Newfoundland |
op_source |
25th International Domain Decomposition Conference https://hal.archives-ouvertes.fr/hal-01852098 25th International Domain Decomposition Conference, Jul 2018, St. John's, Newfoundland, Canada |
op_relation |
hal-01852098 https://hal.archives-ouvertes.fr/hal-01852098 |
_version_ |
1766109235106545664 |