Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling

Discrete nonnegativity principles are established for finite element approximations of nonlinear parabolic PDE systems with mixed boundary conditions. Previous results of the authors are extended such that diagonal dominance (or essentially monotonicity) of the nonlinear coupling can be relaxed, all...

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Detalles Bibliográficos
Autores: Faragó, I., Karátson, J., Korotov, S.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2013
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/642
Acceso en línea:http://hdl.handle.net/20.500.11824/642
Access Level:acceso abierto
Palabra clave:Acute simplicial meshes
Discrete maximum principle
Finite element method
Nonlinear parabolic system
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spelling Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone couplingFaragó, I.Karátson, J.Korotov, S.Acute simplicial meshesDiscrete maximum principleFinite element methodNonlinear parabolic systemDiscrete nonnegativity principles are established for finite element approximations of nonlinear parabolic PDE systems with mixed boundary conditions. Previous results of the authors are extended such that diagonal dominance (or essentially monotonicity) of the nonlinear coupling can be relaxed, allowing to include much more general situations in suitable models.201720172013info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/642reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Ingléshttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84995377850&doi=10.1016%2fj.matcom.2016.03.015&partnerID=40&md5=c5c913bcd634da846e4bedad099aeedcReconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/6422026-06-19T12:47:47Z
dc.title.none.fl_str_mv Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling
title Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling
spellingShingle Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling
Faragó, I.
Acute simplicial meshes
Discrete maximum principle
Finite element method
Nonlinear parabolic system
title_short Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling
title_full Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling
title_fullStr Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling
title_full_unstemmed Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling
title_sort Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling
dc.creator.none.fl_str_mv Faragó, I.
Karátson, J.
Korotov, S.
author Faragó, I.
author_facet Faragó, I.
Karátson, J.
Korotov, S.
author_role author
author2 Karátson, J.
Korotov, S.
author2_role author
author
dc.subject.none.fl_str_mv Acute simplicial meshes
Discrete maximum principle
Finite element method
Nonlinear parabolic system
topic Acute simplicial meshes
Discrete maximum principle
Finite element method
Nonlinear parabolic system
description Discrete nonnegativity principles are established for finite element approximations of nonlinear parabolic PDE systems with mixed boundary conditions. Previous results of the authors are extended such that diagonal dominance (or essentially monotonicity) of the nonlinear coupling can be relaxed, allowing to include much more general situations in suitable models.
publishDate 2013
dc.date.none.fl_str_mv 2013
2017
2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.11824/642
url http://hdl.handle.net/20.500.11824/642
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://www.scopus.com/inward/record.uri?eid=2-s2.0-84995377850&doi=10.1016%2fj.matcom.2016.03.015&partnerID=40&md5=c5c913bcd634da846e4bedad099aeedc
dc.rights.none.fl_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
eu_rights_str_mv openAccess
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dc.source.none.fl_str_mv reponame:BIRD. BCAM's Institutional Repository Data
instname:Basque Center for Applied Mathematics (BCAM)
instname_str Basque Center for Applied Mathematics (BCAM)
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