COMPARISON BETWEEN THE CLASSICAL SUB REGIONS TECHNIQUE AND A NEW APPROACH WITH DOMAIN SUPERPOSITION TO SOLVE SECTORIAL INHOMOGENEOUS LAPLACE’S PROBLEMS
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Revista Interdisciplinar de Pesquisa em Engenharia |
Texto Completo: | https://periodicos.unb.br/index.php/ripe/article/view/21713 |
Resumo: | The Boundary Element Method (BEM) has excellent performance in applications where the variable field is scalar and stationary. However, there is a wide range of issues in science and engineering that are difficult to solve by the BEM. Among these issues, there are the constitutive non-homogeneous problems, where the physical properties vary sectorally. In these kind of problems, the domain techniques, such as Finite Element Method (FEM), Finite Volume Method (FVM) or Finite Difference Method (FDM), present considerable advantages. However, even for these cases, there is a consistent BEM formulation, the classic sub-region technique. This work presents numerical comparisons between the classic subregion technique and an alternative BEM technique that is not based on a partition of the domain. Results are compared with analytical results and other achieved by domain methods using finer meshes. |
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COMPARISON BETWEEN THE CLASSICAL SUB REGIONS TECHNIQUE AND A NEW APPROACH WITH DOMAIN SUPERPOSITION TO SOLVE SECTORIAL INHOMOGENEOUS LAPLACE’S PROBLEMSBoundary Element Method. Inhomogeneous Laplace’s Problems. Sub-regions Technique.The Boundary Element Method (BEM) has excellent performance in applications where the variable field is scalar and stationary. However, there is a wide range of issues in science and engineering that are difficult to solve by the BEM. Among these issues, there are the constitutive non-homogeneous problems, where the physical properties vary sectorally. In these kind of problems, the domain techniques, such as Finite Element Method (FEM), Finite Volume Method (FVM) or Finite Difference Method (FDM), present considerable advantages. However, even for these cases, there is a consistent BEM formulation, the classic sub-region technique. This work presents numerical comparisons between the classic subregion technique and an alternative BEM technique that is not based on a partition of the domain. Results are compared with analytical results and other achieved by domain methods using finer meshes.Programa de Pós-Graduação em Integridade de Materiais da Engenharia2017-01-25info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.unb.br/index.php/ripe/article/view/2171310.26512/ripe.v2i7.21713Revista Interdisciplinar de Pesquisa em Engenharia; Vol. 2 No. 7 (2016): BOUNDARY ELEMENT AND MESH REDUCED METHODS (II); 78-92Revista Interdisciplinar de Pesquisa em Engenharia; v. 2 n. 7 (2016): BOUNDARY ELEMENT AND MESH REDUCED METHODS (II); 78-922447-6102reponame:Revista Interdisciplinar de Pesquisa em Engenhariainstname:Universidade de Brasília (UnB)instacron:UNBenghttps://periodicos.unb.br/index.php/ripe/article/view/21713/20025Copyright (c) 2019 Revista Interdisciplinar de Pesquisa em Engenharia - RIPEinfo:eu-repo/semantics/openAccessAndrade, André Judá Correa deLoeffler, Carlos Friedrich2019-06-07T18:28:36Zoai:ojs.pkp.sfu.ca:article/21713Revistahttps://periodicos.unb.br/index.php/ripePUBhttps://periodicos.unb.br/index.php/ripe/oaianflor@unb.br2447-61022447-6102opendoar:2019-06-07T18:28:36Revista Interdisciplinar de Pesquisa em Engenharia - Universidade de Brasília (UnB)false |
dc.title.none.fl_str_mv |
COMPARISON BETWEEN THE CLASSICAL SUB REGIONS TECHNIQUE AND A NEW APPROACH WITH DOMAIN SUPERPOSITION TO SOLVE SECTORIAL INHOMOGENEOUS LAPLACE’S PROBLEMS |
title |
COMPARISON BETWEEN THE CLASSICAL SUB REGIONS TECHNIQUE AND A NEW APPROACH WITH DOMAIN SUPERPOSITION TO SOLVE SECTORIAL INHOMOGENEOUS LAPLACE’S PROBLEMS |
spellingShingle |
COMPARISON BETWEEN THE CLASSICAL SUB REGIONS TECHNIQUE AND A NEW APPROACH WITH DOMAIN SUPERPOSITION TO SOLVE SECTORIAL INHOMOGENEOUS LAPLACE’S PROBLEMS Andrade, André Judá Correa de Boundary Element Method. Inhomogeneous Laplace’s Problems. Sub-regions Technique. |
title_short |
COMPARISON BETWEEN THE CLASSICAL SUB REGIONS TECHNIQUE AND A NEW APPROACH WITH DOMAIN SUPERPOSITION TO SOLVE SECTORIAL INHOMOGENEOUS LAPLACE’S PROBLEMS |
title_full |
COMPARISON BETWEEN THE CLASSICAL SUB REGIONS TECHNIQUE AND A NEW APPROACH WITH DOMAIN SUPERPOSITION TO SOLVE SECTORIAL INHOMOGENEOUS LAPLACE’S PROBLEMS |
title_fullStr |
COMPARISON BETWEEN THE CLASSICAL SUB REGIONS TECHNIQUE AND A NEW APPROACH WITH DOMAIN SUPERPOSITION TO SOLVE SECTORIAL INHOMOGENEOUS LAPLACE’S PROBLEMS |
title_full_unstemmed |
COMPARISON BETWEEN THE CLASSICAL SUB REGIONS TECHNIQUE AND A NEW APPROACH WITH DOMAIN SUPERPOSITION TO SOLVE SECTORIAL INHOMOGENEOUS LAPLACE’S PROBLEMS |
title_sort |
COMPARISON BETWEEN THE CLASSICAL SUB REGIONS TECHNIQUE AND A NEW APPROACH WITH DOMAIN SUPERPOSITION TO SOLVE SECTORIAL INHOMOGENEOUS LAPLACE’S PROBLEMS |
author |
Andrade, André Judá Correa de |
author_facet |
Andrade, André Judá Correa de Loeffler, Carlos Friedrich |
author_role |
author |
author2 |
Loeffler, Carlos Friedrich |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Andrade, André Judá Correa de Loeffler, Carlos Friedrich |
dc.subject.por.fl_str_mv |
Boundary Element Method. Inhomogeneous Laplace’s Problems. Sub-regions Technique. |
topic |
Boundary Element Method. Inhomogeneous Laplace’s Problems. Sub-regions Technique. |
description |
The Boundary Element Method (BEM) has excellent performance in applications where the variable field is scalar and stationary. However, there is a wide range of issues in science and engineering that are difficult to solve by the BEM. Among these issues, there are the constitutive non-homogeneous problems, where the physical properties vary sectorally. In these kind of problems, the domain techniques, such as Finite Element Method (FEM), Finite Volume Method (FVM) or Finite Difference Method (FDM), present considerable advantages. However, even for these cases, there is a consistent BEM formulation, the classic sub-region technique. This work presents numerical comparisons between the classic subregion technique and an alternative BEM technique that is not based on a partition of the domain. Results are compared with analytical results and other achieved by domain methods using finer meshes. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-01-25 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://periodicos.unb.br/index.php/ripe/article/view/21713 10.26512/ripe.v2i7.21713 |
url |
https://periodicos.unb.br/index.php/ripe/article/view/21713 |
identifier_str_mv |
10.26512/ripe.v2i7.21713 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
https://periodicos.unb.br/index.php/ripe/article/view/21713/20025 |
dc.rights.driver.fl_str_mv |
Copyright (c) 2019 Revista Interdisciplinar de Pesquisa em Engenharia - RIPE info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Copyright (c) 2019 Revista Interdisciplinar de Pesquisa em Engenharia - RIPE |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Programa de Pós-Graduação em Integridade de Materiais da Engenharia |
publisher.none.fl_str_mv |
Programa de Pós-Graduação em Integridade de Materiais da Engenharia |
dc.source.none.fl_str_mv |
Revista Interdisciplinar de Pesquisa em Engenharia; Vol. 2 No. 7 (2016): BOUNDARY ELEMENT AND MESH REDUCED METHODS (II); 78-92 Revista Interdisciplinar de Pesquisa em Engenharia; v. 2 n. 7 (2016): BOUNDARY ELEMENT AND MESH REDUCED METHODS (II); 78-92 2447-6102 reponame:Revista Interdisciplinar de Pesquisa em Engenharia instname:Universidade de Brasília (UnB) instacron:UNB |
instname_str |
Universidade de Brasília (UnB) |
instacron_str |
UNB |
institution |
UNB |
reponame_str |
Revista Interdisciplinar de Pesquisa em Engenharia |
collection |
Revista Interdisciplinar de Pesquisa em Engenharia |
repository.name.fl_str_mv |
Revista Interdisciplinar de Pesquisa em Engenharia - Universidade de Brasília (UnB) |
repository.mail.fl_str_mv |
anflor@unb.br |
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1798315226662174720 |