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Asymptotic Analysis of the Method of Fundamental Solutions for Acoustic Wave Propagation

2010-09-30Journal article Restricted access
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datacite.subject.fosCiências Naturais::Ciências Físicas
datacite.subject.sdg03:Saúde de Qualidade
datacite.subject.sdg07:Energias Renováveis e Acessíveis
datacite.subject.sdg11:Cidades e Comunidades Sustentáveis
dc.contributor.authorValtchev, Svilen S.
dc.date.accessioned2025-11-28T18:17:26Z
dc.date.available2025-11-28T18:17:26Z
dc.date.issued2010-09-30
dc.descriptionConference name - International Conference on Numerical Analysis and Applied Mathematics 2010, ICNAAM-2010; Conference date - 19 September 2010 - 25 September 2010
dc.description.abstractThe asymptotic behavior of the Method of Fundamental Solutions (MFS) is analyzed, for the numerical solution of acoustic wave propagation problems in 2D and 3D bounded domains. As a consequence, a meshfree method, based on superposition of plane acoustic waves, referred to as the Plane Waves Method (PWM), is developed. Numerical examples are included in order to illustrate the relation between the two methods and the accuracy of the PWM.eng
dc.description.sponsorshipThe author would like to thank Dr. Carlos J.S. Alves for his valuable ideas and many critical discussions concerning the method of fundamental solutions. The financial support received from the Fundação para a Ciência e a Tecnologia through the the scientific projects PTDC/MAT/101867/2008 and PTDC/MAT/105475/2008 is also acknowledged.
dc.identifier.citationSvilen S. Valtchev; Asymptotic Analysis of the Method of Fundamental Solutions for Acoustic Wave Propagation. AIP Conf. Proc. 30 September 2010; 1281 (1): 1179–1182. https://doi.org/10.1063/1.3497876.
dc.identifier.doi10.1063/1.3497876
dc.identifier.eissn1551-7616
dc.identifier.issn0094-243X
dc.identifier.urihttp://hdl.handle.net/10400.8/14799
dc.language.isoeng
dc.peerreviewedyes
dc.publisherAIP
dc.relation.hasversionhttps://pubs.aip.org/aip/acp/article/1281/1/1179/869193/Asymptotic-Analysis-of-the-Method-of-Fundamental
dc.relation.ispartofAIP Conference Proceedings
dc.rights.uriN/A
dc.subjectMethod of Fundamental Solutions
dc.subjectasymptotic analysis
dc.subjectPlane Waves Method
dc.subjectacoustic wave propagation
dc.titleAsymptotic Analysis of the Method of Fundamental Solutions for Acoustic Wave Propagationeng
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage1182
oaire.citation.startPage1179
oaire.citation.titleAIP Conference Proceedings
oaire.citation.volume1281
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNameValtchev
person.givenNameSvilen
person.identifier.ciencia-idAF1E-BD9D-A8D7
person.identifier.gsidhttps://scholar.google.com/citations?user=MtxwhiUAAAAJ&hl=en
person.identifier.orcid0000-0002-3474-2788
person.identifier.scopus-author-id8361079200
relation.isAuthorOfPublicationb6302c21-a0e4-4419-967b-0a1bac949132
relation.isAuthorOfPublication.latestForDiscoveryb6302c21-a0e4-4419-967b-0a1bac949132

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The asymptotic behavior of the Method of Fundamental Solutions (MFS) is analyzed, for the numerical solution of acoustic wave propagation problems in 2D and 3D bounded domains. As a consequence, a meshfree method, based on superposition of plane acoustic waves, referred to as the Plane Waves Method (PWM), is developed. Numerical examples are included in order to illustrate the relation between the two methods and the accuracy of the PWM.
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