High order Nyström methods for transmission problems for Helmholtz equation

Simple item page
dc.contributor.authorDomínguez Baguena, Víctor
dc.contributor.authorTurc, Catalin
dc.contributor.departmentIngeniería Matemática e Informáticaes_ES
dc.contributor.departmentMatematika eta Informatika Ingeniaritzaeu
dc.date.accessioned2020-09-22T07:53:13Z
dc.date.available2020-09-22T07:53:13Z
dc.date.issued2016
dc.description.abstractWe present super-algebraic compatible Nyström discretizations for the four Helmholtz boundary operators of Calderón’s calculus on smooth closed curves in 2D. These discretizations are based on appropriate splitting of the kernels combined with very accurate product-quadrature rules for the different singularities that such kernels present. A Fourier based analysis shows that the four discrete operators converge to the continuous ones in appropriate Sobolev norms. This proves that Nyström discretizations of many popular integral equation formulations for Helmholtz equations are stable and convergent. The convergence is actually super-algebraic for smooth solutions.en
dc.description.sponsorshipCatalin Turc gratefully acknowledge support from NSF through contract DMS-1312169. Víctor Domínguez is partially supported by Ministerio de Economía y Competitividad, through the grant MTM2014-52859. This research was partially supported by Spanish MINECO grants MTM2011-22741 and MTM2014-54388.en
dc.format.extent19 p.
dc.format.mimetypeapplication/pdfen
dc.identifier.doi10.1007/978-3-319-32013-7_15
dc.identifier.isbn978-3-319-32013-7
dc.identifier.issn2199-305X
dc.identifier.urihttps://academica-e.unavarra.es/handle/2454/38161
dc.language.isoengen
dc.publisherSpringeren
dc.relation.ispartofOrtegón Gallego, F., Redondo Neble, M. V., Rodríguez Galván, J. R. (Eds.) Trends in differential equations and applications. Cham: Springer, 2016, pp. 261-285. ISBN 978-3-319-32012-0. https://doi.org/10.1007/978-3-319-32013-7en
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//MTM2014-52859-P/ES/
dc.relation.projectIDinfo:eu-repo/grantAgreement/MICINN//MTM2011-22741/ES/
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//MTM2014-54388-P/ES/
dc.relation.publisherversionhttps://doi.org/10.1007/978-3-319-32013-7_15
dc.rights© Springer International Publishing Switzerland 2016en
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.subjectHelmholtz equationen
dc.subjectTransmission problemsen
dc.subjectHelmholtz boundaryen
dc.subjectBoundary integral operatorsen
dc.subjectPeriodic pseudo-differential operatorsen
dc.titleHigh order Nyström methods for transmission problems for Helmholtz equationen
dc.typeinfo:eu-repo/semantics/bookPart
dc.type.versioninfo:eu-repo/semantics/acceptedVersion
dspace.entity.typePublication
relation.isAuthorOfPublication936e3442-4319-4492-9399-5116a12d653f
relation.isAuthorOfPublication.latestForDiscovery936e3442-4319-4492-9399-5116a12d653f

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
10_Dominguez_HighOrder.pdf
Size:
368.04 KB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed to upon submission
Description:
Download

Collections

Libros y capítulos de libros DIMI - MIIS Liburuak eta liburuen kapituluak
Libros y capítulos de libros - Liburuak eta liburuen kapituluak