Numerical solution of PDEs in periodical domains

We present in this work two schemes of approximation for numerical solutions of PDEs. The first one is the maximum entropy method (max-ent) and the second one is the b-spline method. These methods let us impose a special kind of boundary conditions: periodic boundary conditions for unbounded domains...

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Detalhes bibliográficos
Autor: Barceló Mercader, Jordi
Formato: tesis de maestría
Fecha de publicación:2018
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/113447
Acesso em linha:https://hdl.handle.net/2117/113447
Access Level:acceso abierto
Palavra-chave:Difference equations, Partial--Numerical solutions
Max-ent
B-splines
Periodicity
Laplace
Kirchhoff plate
Flexoelectricity
Equacions diferencials parcials--solucions numèriques
Classificació AMS::65 Numerical analysis::65N Partial differential equations, boundary value problems
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
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spelling Numerical solution of PDEs in periodical domainsBarceló Mercader, JordiDifference equations, Partial--Numerical solutionsMax-entB-splinesPeriodicityLaplaceKirchhoff plateFlexoelectricityEquacions diferencials parcials--solucions numèriquesClassificació AMS::65 Numerical analysis::65N Partial differential equations, boundary value problemsÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèricaWe present in this work two schemes of approximation for numerical solutions of PDEs. The first one is the maximum entropy method (max-ent) and the second one is the b-spline method. These methods let us impose a special kind of boundary conditions: periodic boundary conditions for unbounded domains. Some experiments need a large domain (or unbounded domain), however, this domain is divdided into some periodic cells. We develop a technique that let us simulate in the whole domain only doing a simulation in one cell. We apply this method for the resolution of second and fourth order problems (with periodic boundary conditions) like: Laplace, Kirchhoff plate and flexoelectricity.Universitat Politècnica de CatalunyaFernández Méndez, SoniaCodony Gisbert, David20182018-01-0120182018-01-31master thesishttp://purl.org/coar/resource_type/c_bdccNAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/masterThesisapplication/pdfhttps://hdl.handle.net/2117/113447reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2http://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1134472026-05-27T15:37:01Z
dc.title.none.fl_str_mv Numerical solution of PDEs in periodical domains
title Numerical solution of PDEs in periodical domains
spellingShingle Numerical solution of PDEs in periodical domains
Barceló Mercader, Jordi
Difference equations, Partial--Numerical solutions
Max-ent
B-splines
Periodicity
Laplace
Kirchhoff plate
Flexoelectricity
Equacions diferencials parcials--solucions numèriques
Classificació AMS::65 Numerical analysis::65N Partial differential equations, boundary value problems
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
title_short Numerical solution of PDEs in periodical domains
title_full Numerical solution of PDEs in periodical domains
title_fullStr Numerical solution of PDEs in periodical domains
title_full_unstemmed Numerical solution of PDEs in periodical domains
title_sort Numerical solution of PDEs in periodical domains
dc.creator.none.fl_str_mv Barceló Mercader, Jordi
author Barceló Mercader, Jordi
author_facet Barceló Mercader, Jordi
author_role author
dc.contributor.none.fl_str_mv Fernández Méndez, Sonia
Codony Gisbert, David
dc.subject.none.fl_str_mv Difference equations, Partial--Numerical solutions
Max-ent
B-splines
Periodicity
Laplace
Kirchhoff plate
Flexoelectricity
Equacions diferencials parcials--solucions numèriques
Classificació AMS::65 Numerical analysis::65N Partial differential equations, boundary value problems
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
topic Difference equations, Partial--Numerical solutions
Max-ent
B-splines
Periodicity
Laplace
Kirchhoff plate
Flexoelectricity
Equacions diferencials parcials--solucions numèriques
Classificació AMS::65 Numerical analysis::65N Partial differential equations, boundary value problems
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
description We present in this work two schemes of approximation for numerical solutions of PDEs. The first one is the maximum entropy method (max-ent) and the second one is the b-spline method. These methods let us impose a special kind of boundary conditions: periodic boundary conditions for unbounded domains. Some experiments need a large domain (or unbounded domain), however, this domain is divdided into some periodic cells. We develop a technique that let us simulate in the whole domain only doing a simulation in one cell. We apply this method for the resolution of second and fourth order problems (with periodic boundary conditions) like: Laplace, Kirchhoff plate and flexoelectricity.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-01-01
2018
2018-01-31
dc.type.none.fl_str_mv master thesis
http://purl.org/coar/resource_type/c_bdcc
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/113447
url https://hdl.handle.net/2117/113447
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2

http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2

http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universitat Politècnica de Catalunya
publisher.none.fl_str_mv Universitat Politècnica de Catalunya
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301629

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