Systematic symbolic generation of additive and multiplicative discrete constituents
Autor(a) principal: | |
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Data de Publicação: | 2013 |
Outros Autores: | |
Tipo de documento: | Artigo de conferência |
Idioma: | por |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10174/10290 |
Resumo: | The introduction of equality constraints in a finite element discretization is performed by matrix transformation methods on the clique format of sparse matrices. Topological ordering allows interdependent constraints to be applied without pre-assignment. Besides the standard finite element cliques, constraints generate pseudo-elements which are consequence of the second derivatives of the constraint functions. A partition by classes of constituents is achieved: elements, external loads, Lagrange multiplier-enforced constraints are additive constituents. Rigid body constraints, essential boundary conditions, symmetry relations, etc are multiplicative constituents. Decomposition order follows from an analysis of transformed cliques. |
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7160 |
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Systematic symbolic generation of additive and multiplicative discrete constituentsDiscrete ConstituentsThe introduction of equality constraints in a finite element discretization is performed by matrix transformation methods on the clique format of sparse matrices. Topological ordering allows interdependent constraints to be applied without pre-assignment. Besides the standard finite element cliques, constraints generate pseudo-elements which are consequence of the second derivatives of the constraint functions. A partition by classes of constituents is achieved: elements, external loads, Lagrange multiplier-enforced constraints are additive constituents. Rigid body constraints, essential boundary conditions, symmetry relations, etc are multiplicative constituents. Decomposition order follows from an analysis of transformed cliques.2014-01-29T15:52:08Z2014-01-292013-09-10T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjecthttp://hdl.handle.net/10174/10290http://hdl.handle.net/10174/10290porhttp://www.symcomp2013.com/SYMCOMP2013_Programa_Final_WEB_VFinal.pdfsimsimnaopmaa@uevora.pttimon.rabczuk@uni-weimar.de287Areias, P.Rabczuk, T.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-01-03T18:53:04Zoai:dspace.uevora.pt:10174/10290Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:04:14.103625Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Systematic symbolic generation of additive and multiplicative discrete constituents |
title |
Systematic symbolic generation of additive and multiplicative discrete constituents |
spellingShingle |
Systematic symbolic generation of additive and multiplicative discrete constituents Areias, P. Discrete Constituents |
title_short |
Systematic symbolic generation of additive and multiplicative discrete constituents |
title_full |
Systematic symbolic generation of additive and multiplicative discrete constituents |
title_fullStr |
Systematic symbolic generation of additive and multiplicative discrete constituents |
title_full_unstemmed |
Systematic symbolic generation of additive and multiplicative discrete constituents |
title_sort |
Systematic symbolic generation of additive and multiplicative discrete constituents |
author |
Areias, P. |
author_facet |
Areias, P. Rabczuk, T. |
author_role |
author |
author2 |
Rabczuk, T. |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Areias, P. Rabczuk, T. |
dc.subject.por.fl_str_mv |
Discrete Constituents |
topic |
Discrete Constituents |
description |
The introduction of equality constraints in a finite element discretization is performed by matrix transformation methods on the clique format of sparse matrices. Topological ordering allows interdependent constraints to be applied without pre-assignment. Besides the standard finite element cliques, constraints generate pseudo-elements which are consequence of the second derivatives of the constraint functions. A partition by classes of constituents is achieved: elements, external loads, Lagrange multiplier-enforced constraints are additive constituents. Rigid body constraints, essential boundary conditions, symmetry relations, etc are multiplicative constituents. Decomposition order follows from an analysis of transformed cliques. |
publishDate |
2013 |
dc.date.none.fl_str_mv |
2013-09-10T00:00:00Z 2014-01-29T15:52:08Z 2014-01-29 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/conferenceObject |
format |
conferenceObject |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10174/10290 http://hdl.handle.net/10174/10290 |
url |
http://hdl.handle.net/10174/10290 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
http://www.symcomp2013.com/SYMCOMP2013_Programa_Final_WEB_VFinal.pdf sim sim nao pmaa@uevora.pt timon.rabczuk@uni-weimar.de 287 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799136526391574528 |