Some computational tests for inverse conductivity problems based on vector, variational principles: The 2D case
Autor(a) principal: | |
---|---|
Data de Publicação: | 2024 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10174/35867 https://doi.org/10.1016/j.matcom.2023.12.017 |
Resumo: | We focus on several direct vector, variational principles to tackle the practical recovery problem of an unknown conductivity coefficient from boundary measurements. Though the problem is classical and have received a lot of attention because of its practical significance, the variational methods we explore are not so. Despite difficulties associated with the vector nature of the problems, including lack of (quasi, poly)-convexity, experiments show remarkable performance of some of the functionals examined. Beyond the specific meaning of such computations for inverse conductivity problems, the task of approximating the optimal solutions of vector, variational problems, as in hyperelasticity models or non-linear PDE systems at the level of optimality, is also interesting on its own right. |
id |
RCAP_d6dcc6e4ca51c5e1ac9cde752881f67e |
---|---|
oai_identifier_str |
oai:dspace.uevora.pt:10174/35867 |
network_acronym_str |
RCAP |
network_name_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository_id_str |
7160 |
spelling |
Some computational tests for inverse conductivity problems based on vector, variational principles: The 2D caseGradient methodsInverse problemsNon-linear systems of partial differential equationsVector variational methodsWe focus on several direct vector, variational principles to tackle the practical recovery problem of an unknown conductivity coefficient from boundary measurements. Though the problem is classical and have received a lot of attention because of its practical significance, the variational methods we explore are not so. Despite difficulties associated with the vector nature of the problems, including lack of (quasi, poly)-convexity, experiments show remarkable performance of some of the functionals examined. Beyond the specific meaning of such computations for inverse conductivity problems, the task of approximating the optimal solutions of vector, variational problems, as in hyperelasticity models or non-linear PDE systems at the level of optimality, is also interesting on its own right.Elsevier2024-01-08T11:38:51Z2024-01-082024-04-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/35867https://doi.org/10.1016/j.matcom.2023.12.017http://hdl.handle.net/10174/35867https://doi.org/10.1016/j.matcom.2023.12.017porL. Bandeira, P. Pedregal, Some computational tests for inverse conductivity problems based on vector, variational principles: The 2D case, Mathematics and Computers in Simulation, Volume 218, 2024, Pages 704-721lmzb@uevora.ptpablo.pedregal@uclm.es334Bandeira, LuísPedregal, Pabloinfo:eu-repo/semantics/embargoedAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-01-09T01:47:04Zoai:dspace.uevora.pt:10174/35867Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:30:54.551826Repositório 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 |
Some computational tests for inverse conductivity problems based on vector, variational principles: The 2D case |
title |
Some computational tests for inverse conductivity problems based on vector, variational principles: The 2D case |
spellingShingle |
Some computational tests for inverse conductivity problems based on vector, variational principles: The 2D case Bandeira, Luís Gradient methods Inverse problems Non-linear systems of partial differential equations Vector variational methods |
title_short |
Some computational tests for inverse conductivity problems based on vector, variational principles: The 2D case |
title_full |
Some computational tests for inverse conductivity problems based on vector, variational principles: The 2D case |
title_fullStr |
Some computational tests for inverse conductivity problems based on vector, variational principles: The 2D case |
title_full_unstemmed |
Some computational tests for inverse conductivity problems based on vector, variational principles: The 2D case |
title_sort |
Some computational tests for inverse conductivity problems based on vector, variational principles: The 2D case |
author |
Bandeira, Luís |
author_facet |
Bandeira, Luís Pedregal, Pablo |
author_role |
author |
author2 |
Pedregal, Pablo |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Bandeira, Luís Pedregal, Pablo |
dc.subject.por.fl_str_mv |
Gradient methods Inverse problems Non-linear systems of partial differential equations Vector variational methods |
topic |
Gradient methods Inverse problems Non-linear systems of partial differential equations Vector variational methods |
description |
We focus on several direct vector, variational principles to tackle the practical recovery problem of an unknown conductivity coefficient from boundary measurements. Though the problem is classical and have received a lot of attention because of its practical significance, the variational methods we explore are not so. Despite difficulties associated with the vector nature of the problems, including lack of (quasi, poly)-convexity, experiments show remarkable performance of some of the functionals examined. Beyond the specific meaning of such computations for inverse conductivity problems, the task of approximating the optimal solutions of vector, variational problems, as in hyperelasticity models or non-linear PDE systems at the level of optimality, is also interesting on its own right. |
publishDate |
2024 |
dc.date.none.fl_str_mv |
2024-01-08T11:38:51Z 2024-01-08 2024-04-01T00:00:00Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10174/35867 https://doi.org/10.1016/j.matcom.2023.12.017 http://hdl.handle.net/10174/35867 https://doi.org/10.1016/j.matcom.2023.12.017 |
url |
http://hdl.handle.net/10174/35867 https://doi.org/10.1016/j.matcom.2023.12.017 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
L. Bandeira, P. Pedregal, Some computational tests for inverse conductivity problems based on vector, variational principles: The 2D case, Mathematics and Computers in Simulation, Volume 218, 2024, Pages 704-721 lmzb@uevora.pt pablo.pedregal@uclm.es 334 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/embargoedAccess |
eu_rights_str_mv |
embargoedAccess |
dc.publisher.none.fl_str_mv |
Elsevier |
publisher.none.fl_str_mv |
Elsevier |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
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 |
repository.mail.fl_str_mv |
|
_version_ |
1799136791189520384 |