A new radial basis integration method applied to the boundary element analysis of 2D scalar wave equations
A new integration method named the Radial Basis Integration Method (RBIM) that include the Kriging Integration Method (KIM) Narváez and Useche (2020) as a particular case and performs boundary only offline precomputations for the creation of a meshless quadrature was developed for its application in...
- Autores:
-
Narvaez, Alexander
Useche Vivero, Jairo
- Tipo de recurso:
- Fecha de publicación:
- 2022
- Institución:
- Universidad Tecnológica de Bolívar
- Repositorio:
- Repositorio Institucional UTB
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.utb.edu.co:20.500.12585/10694
- Acceso en línea:
- https://hdl.handle.net/20.500.12585/10694
https://doi.org/10.1016/j.enganabound.2021.12.005
- Palabra clave:
- Domain integration
Boundary element method
Radial basis integration method
Dual reciprocity boundary element method
(DR-BEM)
Scalar wave equation
LEMB
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-nd/4.0/
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A new radial basis integration method applied to the boundary element analysis of 2D scalar wave equations |
| title |
A new radial basis integration method applied to the boundary element analysis of 2D scalar wave equations |
| spellingShingle |
A new radial basis integration method applied to the boundary element analysis of 2D scalar wave equations Domain integration Boundary element method Radial basis integration method Dual reciprocity boundary element method (DR-BEM) Scalar wave equation LEMB |
| title_short |
A new radial basis integration method applied to the boundary element analysis of 2D scalar wave equations |
| title_full |
A new radial basis integration method applied to the boundary element analysis of 2D scalar wave equations |
| title_fullStr |
A new radial basis integration method applied to the boundary element analysis of 2D scalar wave equations |
| title_full_unstemmed |
A new radial basis integration method applied to the boundary element analysis of 2D scalar wave equations |
| title_sort |
A new radial basis integration method applied to the boundary element analysis of 2D scalar wave equations |
| dc.creator.fl_str_mv |
Narvaez, Alexander Useche Vivero, Jairo |
| dc.contributor.author.none.fl_str_mv |
Narvaez, Alexander Useche Vivero, Jairo |
| dc.subject.keywords.spa.fl_str_mv |
Domain integration Boundary element method Radial basis integration method Dual reciprocity boundary element method (DR-BEM) Scalar wave equation |
| topic |
Domain integration Boundary element method Radial basis integration method Dual reciprocity boundary element method (DR-BEM) Scalar wave equation LEMB |
| dc.subject.armarc.none.fl_str_mv |
LEMB |
| description |
A new integration method named the Radial Basis Integration Method (RBIM) that include the Kriging Integration Method (KIM) Narváez and Useche (2020) as a particular case and performs boundary only offline precomputations for the creation of a meshless quadrature was developed for its application in boundary elements. Herein, as in DR-BEM, the inertial term is approximated using radial basis functions, however, its particular solution is not needed. The quadrature is now obtained in a simpler way than in KIM, because the evaluations of domain integrals necessary to compute the weights of quadrature points, is done transforming those to the boundary instead of using the Cartesian Transformation Method. Using RBIM, weakly singular domain integrals may be computed with good accuracy over complex domains. The results obtained in some scalar wave propagation problems using both Houbolt-a and Newmark-a time marching methods show that this procedure can be even more accurate than other used in BEM analysis |
| publishDate |
2022 |
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2022-05-18T21:44:51Z |
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2022-05-18T21:44:51Z |
| dc.date.issued.none.fl_str_mv |
2022-01-10 |
| dc.date.submitted.none.fl_str_mv |
2022-05-18 |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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info:eu-repo/semantics/article |
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info:eu-repo/semantics/restrictedAccess |
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http://purl.org/coar/resource_type/c_6501 |
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Narvaez, Alexander & Useche, Jairo. (2022). A new radial basis integration method applied to the boundary element analysis of 2D scalar wave equations. Engineering Analysis with Boundary Elements. 136. 77-92. 10.1016/j.enganabound.2021.12.005. |
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https://hdl.handle.net/20.500.12585/10694 |
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https://doi.org/10.1016/j.enganabound.2021.12.005 |
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Universidad Tecnológica de Bolívar |
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Repositorio Universidad Tecnológica de Bolívar |
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Narvaez, Alexander & Useche, Jairo. (2022). A new radial basis integration method applied to the boundary element analysis of 2D scalar wave equations. Engineering Analysis with Boundary Elements. 136. 77-92. 10.1016/j.enganabound.2021.12.005. Universidad Tecnológica de Bolívar Repositorio Universidad Tecnológica de Bolívar |
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https://hdl.handle.net/20.500.12585/10694 https://doi.org/10.1016/j.enganabound.2021.12.005 |
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eng |
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eng |
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http://creativecommons.org/licenses/by-nc-nd/4.0/ |
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info:eu-repo/semantics/openAccess |
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional |
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http://creativecommons.org/licenses/by-nc-nd/4.0/ Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://purl.org/coar/access_right/c_abf2 |
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openAccess |
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16 Páginas |
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application/pdf |
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Cartagena de Indias |
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Engineering Analysis with Boundary Elements - Vol. 136 (2022) |
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Universidad Tecnológica de Bolívar |
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Narvaez, Alexander8e5a115e-5dad-4bab-ad3f-0f3358e6dc99Useche Vivero, Jairofa4e9db4-a773-4bc3-a3bb-c992f7e97f022022-05-18T21:44:51Z2022-05-18T21:44:51Z2022-01-102022-05-18Narvaez, Alexander & Useche, Jairo. (2022). A new radial basis integration method applied to the boundary element analysis of 2D scalar wave equations. Engineering Analysis with Boundary Elements. 136. 77-92. 10.1016/j.enganabound.2021.12.005.https://hdl.handle.net/20.500.12585/10694https://doi.org/10.1016/j.enganabound.2021.12.005Universidad Tecnológica de BolívarRepositorio Universidad Tecnológica de BolívarA new integration method named the Radial Basis Integration Method (RBIM) that include the Kriging Integration Method (KIM) Narváez and Useche (2020) as a particular case and performs boundary only offline precomputations for the creation of a meshless quadrature was developed for its application in boundary elements. Herein, as in DR-BEM, the inertial term is approximated using radial basis functions, however, its particular solution is not needed. The quadrature is now obtained in a simpler way than in KIM, because the evaluations of domain integrals necessary to compute the weights of quadrature points, is done transforming those to the boundary instead of using the Cartesian Transformation Method. Using RBIM, weakly singular domain integrals may be computed with good accuracy over complex domains. The results obtained in some scalar wave propagation problems using both Houbolt-a and Newmark-a time marching methods show that this procedure can be even more accurate than other used in BEM analysis16 Páginasapplication/pdfenghttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://purl.org/coar/access_right/c_abf2Engineering Analysis with Boundary Elements - Vol. 136 (2022)A new radial basis integration method applied to the boundary element analysis of 2D scalar wave equationsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/restrictedAccesshttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Domain integrationBoundary element methodRadial basis integration methodDual reciprocity boundary element method(DR-BEM)Scalar wave equationLEMBCartagena de IndiasDallner R., Kuhn G. 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The direct interpolation boundary element technique applied to three-dimensional scalar free vibration problems Eng Anal Bound Elem, 108 (2019), pp. 295-300, 10.1016/j.enganabound.2019.09.002http://purl.org/coar/resource_type/c_2df8fbb1LICENSElicense.txtlicense.txttext/plain; charset=utf-83182https://repositorio.utb.edu.co/bitstream/20.500.12585/10694/3/license.txte20ad307a1c5f3f25af9304a7a7c86b6MD53ORIGINAL1-s2.0-S0955799721003581-main.pdf1-s2.0-S0955799721003581-main.pdfapplication/pdf2466033https://repositorio.utb.edu.co/bitstream/20.500.12585/10694/1/1-s2.0-S0955799721003581-main.pdfa072acda45f34bf645abdcb676384f8dMD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8805https://repositorio.utb.edu.co/bitstream/20.500.12585/10694/2/license_rdf4460e5956bc1d1639be9ae6146a50347MD52TEXT1-s2.0-S0955799721003581-main.pdf.txt1-s2.0-S0955799721003581-main.pdf.txtExtracted 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