A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian

Autores
Acosta Rodriguez, Gabriel; Mastroberti Bersetche, Francisco Vicente; Borthagaray Peradotto, Juan Pablo
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In Acosta etal. (2017), a complete n-dimensional finite element analysis of the homogeneous Dirichlet problem associated to a fractional Laplacian was presented. Here we provide a comprehensive and simple 2D MATLAB ® finite element code for such a problem. The code is accompanied with a basic discussion of the theory relevant in the context. The main program is written in about 80 lines and can be easily modified to deal with other kernels as well as with time dependent problems. The present work fills a gap by providing an input for a large number of mathematicians and scientists interested in numerical approximations of solutions of a large variety of problems involving nonlocal phenomena in two-dimensional space.
Fil: Acosta Rodriguez, Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina
Fil: Mastroberti Bersetche, Francisco Vicente. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina
Fil: Borthagaray Peradotto, Juan Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina
Materia
FINITE ELEMENTS
FRACTIONAL LAPLACIAN
NONLOCAL OPERATORS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/55819
Acceder
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network_name_str CONICET Digital (CONICET)
spelling A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional LaplacianAcosta Rodriguez, GabrielMastroberti Bersetche, Francisco VicenteBorthagaray Peradotto, Juan PabloFINITE ELEMENTSFRACTIONAL LAPLACIANNONLOCAL OPERATORShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In Acosta etal. (2017), a complete n-dimensional finite element analysis of the homogeneous Dirichlet problem associated to a fractional Laplacian was presented. Here we provide a comprehensive and simple 2D MATLAB ® finite element code for such a problem. The code is accompanied with a basic discussion of the theory relevant in the context. The main program is written in about 80 lines and can be easily modified to deal with other kernels as well as with time dependent problems. The present work fills a gap by providing an input for a large number of mathematicians and scientists interested in numerical approximations of solutions of a large variety of problems involving nonlocal phenomena in two-dimensional space.Fil: Acosta Rodriguez, Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; ArgentinaFil: Mastroberti Bersetche, Francisco Vicente. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; ArgentinaFil: Borthagaray Peradotto, Juan Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; ArgentinaPergamon-Elsevier Science Ltd2017-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/55819Acosta Rodriguez, Gabriel; Mastroberti Bersetche, Francisco Vicente; Borthagaray Peradotto, Juan Pablo; A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian; Pergamon-Elsevier Science Ltd; Computers & Mathematics With Applications (1987); 74; 4; 8-2017; 784-8160898-1221CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0898122117303310info:eu-repo/semantics/altIdentifier/doi/10.1016/j.camwa.2017.05.026info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:16:53Zoai:ri.conicet.gov.ar:11336/55819instacron: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:34982025-09-10 13:16:54.173CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian
title A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian
spellingShingle A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian
Acosta Rodriguez, Gabriel
FINITE ELEMENTS
FRACTIONAL LAPLACIAN
NONLOCAL OPERATORS
title_short A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian
title_full A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian
title_fullStr A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian
title_full_unstemmed A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian
title_sort A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian
dc.creator.none.fl_str_mv Acosta Rodriguez, Gabriel
Mastroberti Bersetche, Francisco Vicente
Borthagaray Peradotto, Juan Pablo
author Acosta Rodriguez, Gabriel
author_facet Acosta Rodriguez, Gabriel
Mastroberti Bersetche, Francisco Vicente
Borthagaray Peradotto, Juan Pablo
author_role author
author2 Mastroberti Bersetche, Francisco Vicente
Borthagaray Peradotto, Juan Pablo
author2_role author
author
dc.subject.none.fl_str_mv FINITE ELEMENTS
FRACTIONAL LAPLACIAN
NONLOCAL OPERATORS
topic FINITE ELEMENTS
FRACTIONAL LAPLACIAN
NONLOCAL OPERATORS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In Acosta etal. (2017), a complete n-dimensional finite element analysis of the homogeneous Dirichlet problem associated to a fractional Laplacian was presented. Here we provide a comprehensive and simple 2D MATLAB ® finite element code for such a problem. The code is accompanied with a basic discussion of the theory relevant in the context. The main program is written in about 80 lines and can be easily modified to deal with other kernels as well as with time dependent problems. The present work fills a gap by providing an input for a large number of mathematicians and scientists interested in numerical approximations of solutions of a large variety of problems involving nonlocal phenomena in two-dimensional space.
Fil: Acosta Rodriguez, Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina
Fil: Mastroberti Bersetche, Francisco Vicente. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina
Fil: Borthagaray Peradotto, Juan Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina
description In Acosta etal. (2017), a complete n-dimensional finite element analysis of the homogeneous Dirichlet problem associated to a fractional Laplacian was presented. Here we provide a comprehensive and simple 2D MATLAB ® finite element code for such a problem. The code is accompanied with a basic discussion of the theory relevant in the context. The main program is written in about 80 lines and can be easily modified to deal with other kernels as well as with time dependent problems. The present work fills a gap by providing an input for a large number of mathematicians and scientists interested in numerical approximations of solutions of a large variety of problems involving nonlocal phenomena in two-dimensional space.
publishDate 2017
dc.date.none.fl_str_mv 2017-08
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/11336/55819
Acosta Rodriguez, Gabriel; Mastroberti Bersetche, Francisco Vicente; Borthagaray Peradotto, Juan Pablo; A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian; Pergamon-Elsevier Science Ltd; Computers & Mathematics With Applications (1987); 74; 4; 8-2017; 784-816
0898-1221
CONICET Digital
CONICET
url http://hdl.handle.net/11336/55819
identifier_str_mv Acosta Rodriguez, Gabriel; Mastroberti Bersetche, Francisco Vicente; Borthagaray Peradotto, Juan Pablo; A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian; Pergamon-Elsevier Science Ltd; Computers & Mathematics With Applications (1987); 74; 4; 8-2017; 784-816
0898-1221
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/S0898122117303310
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.camwa.2017.05.026
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Pergamon-Elsevier Science Ltd
publisher.none.fl_str_mv Pergamon-Elsevier Science Ltd
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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score 12.993085

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