Publication:

A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution

Date

Date

Date
1995
Journal Article
Published version
cris.lastimport.scopus2025-07-07T03:41:50Z
cris.lastimport.wos2025-08-03T01:31:40Z
dc.contributor.institutionUniversity of Zurich
dc.date.accessioned2010-11-29T16:28:49Z
dc.date.available2010-11-29T16:28:49Z
dc.date.issued1995
dc.description.abstract

When using the Galerkin FEM for solving the Helmholtz equation in two dimensions, the error of the corresponding solution differs substantially from the error of the best approximation, and this effect increases with higher wave number k. In this paper we will design a Generalized Finite Element Method (GFEM) for the Helmholtz equation such that the pollution effect is minimal.

dc.identifier.doi10.1016/0045-7825(95)00890-X
dc.identifier.issn0045-7825
dc.identifier.scopus2-s2.0-0029487468
dc.identifier.urihttps://www.zora.uzh.ch/handle/20.500.14742/44581
dc.identifier.wosA1995TV44600005
dc.language.isoeng
dc.subject.ddc510 Mathematics
dc.title

A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution

dc.typearticle
dcterms.accessRightsinfo:eu-repo/semantics/closedAccess
dcterms.bibliographicCitation.journaltitleComputer Methods in Applied Mechanics and Engineering
dcterms.bibliographicCitation.number3-4
dcterms.bibliographicCitation.originalpublishernameElsevier
dcterms.bibliographicCitation.pageend359
dcterms.bibliographicCitation.pagestart325
dcterms.bibliographicCitation.volume128
dspace.entity.typePublicationen
uzh.contributor.affiliationUniversity of Maryland
uzh.contributor.affiliationUniversity of Maryland
uzh.contributor.affiliationUniversity of Maryland
uzh.contributor.affiliationUniversity of Maryland
uzh.contributor.authorBabuska, I
uzh.contributor.authorIhlenburg, F
uzh.contributor.authorPaik, E T
uzh.contributor.authorSauter, S A
uzh.contributor.correspondenceYes
uzh.contributor.correspondenceNo
uzh.contributor.correspondenceNo
uzh.contributor.correspondenceNo
uzh.document.availabilityno_document
uzh.eprint.datestamp2010-11-29 16:28:49
uzh.eprint.lastmod2025-08-03 01:38:00
uzh.eprint.statusChange2009-10-13 16:57:14
uzh.harvester.ethNo
uzh.harvester.nbNo
uzh.jdb.eprintsId20289
uzh.oastatus.unpaywallclosed
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uzh.publication.citationBabuska, I; Ihlenburg, F; Paik, E T; Sauter, S A (1995). A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution. Computer Methods in Applied Mechanics and Engineering, 128(3-4):325-359.
uzh.publication.originalworkoriginal
uzh.publication.publishedStatusfinal
uzh.relatedUrl.urlhttp://www.ams.org/mathscinet-getitem?mr=1368049
uzh.relatedUrl.urlhttp://www.zentralblatt-math.org/zbmath/search/?q=an%3A0863.73055
uzh.scopus.impact370
uzh.scopus.subjectsComputational Mechanics
uzh.scopus.subjectsMechanics of Materials
uzh.scopus.subjectsMechanical Engineering
uzh.scopus.subjectsGeneral Physics and Astronomy
uzh.scopus.subjectsComputer Science Applications
uzh.workflow.doajuzh.workflow.doaj.false
uzh.workflow.eprintid22566
uzh.workflow.fulltextStatusnone
uzh.workflow.revisions55
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uzh.workflow.statusarchive
uzh.wos.impact328
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