A nonholonomic Newmark method

Autores
Anahory Simoes, Alexandre; Ferraro, Sebastián José; Marrero González, Juan Carlos; Martín de Diego, David
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Using the nonholonomic exponential map, we obtain a new version of Newmark-type methods for nonholonomic systems (see also Jay and Negrut(2009) for a different extension). We give numerical examples including a test problem where the structure of reversible integrability responsible for good energy behaviour as described in Modin and Verdier (2020) is lost. We observe that the composition of two Newmark methods is able to produce good energy behaviour on this test problem.
Fil: Anahory Simoes, Alexandre. IE Universidad; España
Fil: Ferraro, Sebastián José. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Fil: Marrero González, Juan Carlos. Universidad de La Laguna; España
Fil: Martín de Diego, David. Universidad Nebrija; España. Instituto de Ciencias Matemáticas; España
Materia
NEWMARK METHOD
NONHOLONOMIC EXPONENTIAL MAP
NONHOLONOMIC MECHANICS
NUMERICAL INTEGRATION
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/211810

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network_name_str CONICET Digital (CONICET)
spelling A nonholonomic Newmark methodAnahory Simoes, AlexandreFerraro, Sebastián JoséMarrero González, Juan CarlosMartín de Diego, DavidNEWMARK METHODNONHOLONOMIC EXPONENTIAL MAPNONHOLONOMIC MECHANICSNUMERICAL INTEGRATIONhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Using the nonholonomic exponential map, we obtain a new version of Newmark-type methods for nonholonomic systems (see also Jay and Negrut(2009) for a different extension). We give numerical examples including a test problem where the structure of reversible integrability responsible for good energy behaviour as described in Modin and Verdier (2020) is lost. We observe that the composition of two Newmark methods is able to produce good energy behaviour on this test problem.Fil: Anahory Simoes, Alexandre. IE Universidad; EspañaFil: Ferraro, Sebastián José. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Matemática; ArgentinaFil: Marrero González, Juan Carlos. Universidad de La Laguna; EspañaFil: Martín de Diego, David. Universidad Nebrija; España. Instituto de Ciencias Matemáticas; EspañaElsevier Science2023-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/211810Anahory Simoes, Alexandre; Ferraro, Sebastián José; Marrero González, Juan Carlos; Martín de Diego, David; A nonholonomic Newmark method; Elsevier Science; Journal Of Computational And Applied Mathematics; 421; 3-2023; 1-130377-0427CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S037704272200471Xinfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.cam.2022.114873info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:02:36Zoai:ri.conicet.gov.ar:11336/211810instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 10:02:36.668CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A nonholonomic Newmark method
title A nonholonomic Newmark method
spellingShingle A nonholonomic Newmark method
Anahory Simoes, Alexandre
NEWMARK METHOD
NONHOLONOMIC EXPONENTIAL MAP
NONHOLONOMIC MECHANICS
NUMERICAL INTEGRATION
title_short A nonholonomic Newmark method
title_full A nonholonomic Newmark method
title_fullStr A nonholonomic Newmark method
title_full_unstemmed A nonholonomic Newmark method
title_sort A nonholonomic Newmark method
dc.creator.none.fl_str_mv Anahory Simoes, Alexandre
Ferraro, Sebastián José
Marrero González, Juan Carlos
Martín de Diego, David
author Anahory Simoes, Alexandre
author_facet Anahory Simoes, Alexandre
Ferraro, Sebastián José
Marrero González, Juan Carlos
Martín de Diego, David
author_role author
author2 Ferraro, Sebastián José
Marrero González, Juan Carlos
Martín de Diego, David
author2_role author
author
author
dc.subject.none.fl_str_mv NEWMARK METHOD
NONHOLONOMIC EXPONENTIAL MAP
NONHOLONOMIC MECHANICS
NUMERICAL INTEGRATION
topic NEWMARK METHOD
NONHOLONOMIC EXPONENTIAL MAP
NONHOLONOMIC MECHANICS
NUMERICAL INTEGRATION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Using the nonholonomic exponential map, we obtain a new version of Newmark-type methods for nonholonomic systems (see also Jay and Negrut(2009) for a different extension). We give numerical examples including a test problem where the structure of reversible integrability responsible for good energy behaviour as described in Modin and Verdier (2020) is lost. We observe that the composition of two Newmark methods is able to produce good energy behaviour on this test problem.
Fil: Anahory Simoes, Alexandre. IE Universidad; España
Fil: Ferraro, Sebastián José. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Fil: Marrero González, Juan Carlos. Universidad de La Laguna; España
Fil: Martín de Diego, David. Universidad Nebrija; España. Instituto de Ciencias Matemáticas; España
description Using the nonholonomic exponential map, we obtain a new version of Newmark-type methods for nonholonomic systems (see also Jay and Negrut(2009) for a different extension). We give numerical examples including a test problem where the structure of reversible integrability responsible for good energy behaviour as described in Modin and Verdier (2020) is lost. We observe that the composition of two Newmark methods is able to produce good energy behaviour on this test problem.
publishDate 2023
dc.date.none.fl_str_mv 2023-03
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/211810
Anahory Simoes, Alexandre; Ferraro, Sebastián José; Marrero González, Juan Carlos; Martín de Diego, David; A nonholonomic Newmark method; Elsevier Science; Journal Of Computational And Applied Mathematics; 421; 3-2023; 1-13
0377-0427
CONICET Digital
CONICET
url http://hdl.handle.net/11336/211810
identifier_str_mv Anahory Simoes, Alexandre; Ferraro, Sebastián José; Marrero González, Juan Carlos; Martín de Diego, David; A nonholonomic Newmark method; Elsevier Science; Journal Of Computational And Applied Mathematics; 421; 3-2023; 1-13
0377-0427
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S037704272200471X
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cam.2022.114873
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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