A stabilized local integral method using RBFs for Helmholtz problems arising from electrodynamics

Autores
Ponzellini Marinelli, L.; Raviola, L.
Año de publicación
2026
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Fil: Ponzellini Marinelli, L. Pontificia Universidad Católica Argentina; Argentina
Fil: Ponzellini Marinelli, L. Universidad Nacional de Rosario; Argentina
Fil: Ponzellini Marinelli, L. Instituto Física Rosario; Argentina
Fil: Raviola, L. Universidad Nacional de Rosario; Argentina
In this paper we present the Stabilized Local Boundary Domain Integral Method (SLBDIM), which is a local integral boundary element technique with stable computation based on Radial Basis Function (RBF) approximations, applied to Helmholtz problems. We present numerical results for small shape parameters of the RBF that stabilize the errors. We also discuss accuracy, conditioning and comparisons with other methods for various case studies. The virtues of the method are demonstrated through its application to problems arising in wave chaos, acoustics, and dielectric microresonators. The SLBDIM is computationally efficient and well suited to geometries with arbitrarily shaped domains, including those with corners.
Fuente
Journal of Computational and Applied Mathematics. 487, 2026
Materia
MATEMATICA
ANALISIS MATEMÁTICO
FUNCIONES MATEMÁTICAS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
Repositorio Institucional (UCA)
Institución
Pontificia Universidad Católica Argentina
OAI Identificador
oai:ucacris:123456789/21925
Acceder
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oai_identifier_str oai:ucacris:123456789/21925
network_acronym_str RIUCA
repository_id_str 2585
network_name_str Repositorio Institucional (UCA)
spelling A stabilized local integral method using RBFs for Helmholtz problems arising from electrodynamicsPonzellini Marinelli, L.Raviola, L.MATEMATICAANALISIS MATEMÁTICOFUNCIONES MATEMÁTICASFil: Ponzellini Marinelli, L. Pontificia Universidad Católica Argentina; ArgentinaFil: Ponzellini Marinelli, L. Universidad Nacional de Rosario; ArgentinaFil: Ponzellini Marinelli, L. Instituto Física Rosario; ArgentinaFil: Raviola, L. Universidad Nacional de Rosario; ArgentinaIn this paper we present the Stabilized Local Boundary Domain Integral Method (SLBDIM), which is a local integral boundary element technique with stable computation based on Radial Basis Function (RBF) approximations, applied to Helmholtz problems. We present numerical results for small shape parameters of the RBF that stabilize the errors. We also discuss accuracy, conditioning and comparisons with other methods for various case studies. The virtues of the method are demonstrated through its application to problems arising in wave chaos, acoustics, and dielectric microresonators. The SLBDIM is computationally efficient and well suited to geometries with arbitrarily shaped domains, including those with corners.Elsevier2026info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttps://repositorio.uca.edu.ar/handle/123456789/219251879-1778https://doi.org/10.1016/j.cam.2026.117713Journal of Computational and Applied Mathematics. 487, 2026reponame:Repositorio Institucional (UCA)instname:Pontificia Universidad Católica Argentinaenginfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/4.0/2026-09-28T11:10:43Zoai:ucacris:123456789/21925instacron:UCAInstitucionalhttps://repositorio.uca.edu.ar/Universidad privadaNo correspondehttps://repositorio.uca.edu.ar/oaiclaudia_fernandez@uca.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:25852026-09-28 11:10:44.19Repositorio Institucional (UCA) - Pontificia Universidad Católica Argentinafalse
dc.title.none.fl_str_mv A stabilized local integral method using RBFs for Helmholtz problems arising from electrodynamics
title A stabilized local integral method using RBFs for Helmholtz problems arising from electrodynamics
spellingShingle A stabilized local integral method using RBFs for Helmholtz problems arising from electrodynamics
Ponzellini Marinelli, L.
MATEMATICA
ANALISIS MATEMÁTICO
FUNCIONES MATEMÁTICAS
title_short A stabilized local integral method using RBFs for Helmholtz problems arising from electrodynamics
title_full A stabilized local integral method using RBFs for Helmholtz problems arising from electrodynamics
title_fullStr A stabilized local integral method using RBFs for Helmholtz problems arising from electrodynamics
title_full_unstemmed A stabilized local integral method using RBFs for Helmholtz problems arising from electrodynamics
title_sort A stabilized local integral method using RBFs for Helmholtz problems arising from electrodynamics
dc.creator.none.fl_str_mv Ponzellini Marinelli, L.
Raviola, L.
author Ponzellini Marinelli, L.
author_facet Ponzellini Marinelli, L.
Raviola, L.
author_role author
author2 Raviola, L.
author2_role author
dc.subject.none.fl_str_mv MATEMATICA
ANALISIS MATEMÁTICO
FUNCIONES MATEMÁTICAS
topic MATEMATICA
ANALISIS MATEMÁTICO
FUNCIONES MATEMÁTICAS
dc.description.none.fl_txt_mv Fil: Ponzellini Marinelli, L. Pontificia Universidad Católica Argentina; Argentina
Fil: Ponzellini Marinelli, L. Universidad Nacional de Rosario; Argentina
Fil: Ponzellini Marinelli, L. Instituto Física Rosario; Argentina
Fil: Raviola, L. Universidad Nacional de Rosario; Argentina
In this paper we present the Stabilized Local Boundary Domain Integral Method (SLBDIM), which is a local integral boundary element technique with stable computation based on Radial Basis Function (RBF) approximations, applied to Helmholtz problems. We present numerical results for small shape parameters of the RBF that stabilize the errors. We also discuss accuracy, conditioning and comparisons with other methods for various case studies. The virtues of the method are demonstrated through its application to problems arising in wave chaos, acoustics, and dielectric microresonators. The SLBDIM is computationally efficient and well suited to geometries with arbitrarily shaped domains, including those with corners.
description Fil: Ponzellini Marinelli, L. Pontificia Universidad Católica Argentina; Argentina
publishDate 2026
dc.date.none.fl_str_mv 2026
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 https://repositorio.uca.edu.ar/handle/123456789/21925
1879-1778
https://doi.org/10.1016/j.cam.2026.117713
url https://repositorio.uca.edu.ar/handle/123456789/21925
https://doi.org/10.1016/j.cam.2026.117713
identifier_str_mv 1879-1778
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/4.0/
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv Journal of Computational and Applied Mathematics. 487, 2026
reponame:Repositorio Institucional (UCA)
instname:Pontificia Universidad Católica Argentina
reponame_str Repositorio Institucional (UCA)
collection Repositorio Institucional (UCA)
instname_str Pontificia Universidad Católica Argentina
repository.name.fl_str_mv Repositorio Institucional (UCA) - Pontificia Universidad Católica Argentina
repository.mail.fl_str_mv claudia_fernandez@uca.edu.ar
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score 13.265058

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