Please use this identifier to cite or link to this item: https://doi.org/10.15480/882.117
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dc.contributor.authorMedviďová-Lukáčová, Mária-
dc.contributor.authorWarnecke, Gerald-
dc.contributor.authorZahaykah, Yousef-
dc.date.accessioned2006-02-14T16:53:50Zde_DE
dc.date.available2006-02-14T16:53:50Zde_DE
dc.date.issued2004-09-
dc.identifier.citationPreprint. Published in: Applied Numerical MathematicsVolume 57, Issue 9, September 2007, Pages 1050-1064de_DE
dc.identifier.urihttp://tubdok.tub.tuhh.de/handle/11420/119-
dc.description.abstractThe subject of the paper is the derivation of finite volume evolution Galerkin schemes for three-dimensional wave equation system. The aim is to construct methods which take into account all of the infinitely many directions of propagation of bicharacteristics. The idea is to evolve the initial function using the characteristic cone and then to project onto a finite element space. Numerical experiments are presented to demonstrate the accuracy and the multidimensional behaviour of the solutions. Moreover, we construct further new EG schemes by neglecting the so-called source term, i.e. we mimic Kirchhoff's formula. The numerical test shows that such schemes are more accurate and some of them are of second order.en
dc.language.isoende_DE
dc.relation.ispartofseriesPreprints des Institutes für Mathematik;Bericht 80-
dc.rightsinfo:eu-repo/semantics/openAccess-
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectHyperbolic systemsde_DE
dc.subjectwave equationde_DE
dc.subjectevolution Galerkin schemesde_DE
dc.subjectrecovery stagede_DE
dc.subjectfinite volumede_DE
dc.subject.ddc510: Mathematikde_DE
dc.titleFinite volume evolution Galerkin (FVEG) methods for three-dimensional wave equation systemde_DE
dc.typePreprintde_DE
dc.date.updated2006-03-16T11:29:13Zde_DE
dc.identifier.urnurn:nbn:de:gbv:830-opus-1752de_DE
dc.identifier.doi10.15480/882.117-
dc.type.dinipreprint-
dc.subject.gndHyperbolisches Systemde
dc.subject.gndEvolutionsoperatorde
dc.subject.gndGalerkin-Methodede
dc.subject.gndWellenfunktionde
dc.subject.gndFinite-Volumen-Methodede
dc.subject.ddccode510-
dc.subject.msc35L65:Conservation lawsen
dc.subject.msccode35L65-
dcterms.DCMITypeText-
tuhh.identifier.urnurn:nbn:de:gbv:830-opus-1752de_DE
tuhh.publikation.typpreprintde_DE
tuhh.opus.id175de_DE
tuhh.oai.showtruede_DE
dc.identifier.hdl11420/119-
tuhh.abstract.englishThe subject of the paper is the derivation of finite volume evolution Galerkin schemes for three-dimensional wave equation system. The aim is to construct methods which take into account all of the infinitely many directions of propagation of bicharacteristics. The idea is to evolve the initial function using the characteristic cone and then to project onto a finite element space. Numerical experiments are presented to demonstrate the accuracy and the multidimensional behaviour of the solutions. Moreover, we construct further new EG schemes by neglecting the so-called source term, i.e. we mimic Kirchhoff's formula. The numerical test shows that such schemes are more accurate and some of them are of second order.de_DE
tuhh.publisher.doi10.1016/j.apnum.2006.09.011-
tuhh.publication.instituteMathematik E-10de_DE
tuhh.identifier.doi10.15480/882.117-
tuhh.type.opusPreprint (Vorabdruck)-
tuhh.institute.germanMathematik E-10de
tuhh.institute.englishMathematics E-10en
tuhh.institute.id47de_DE
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tuhh.series.namePreprints des Institutes für Mathematik-
dc.type.driverpreprint-
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tuhh.relation.ispartofseriesPreprints des Institutes für Mathematikde_DE
tuhh.relation.ispartofseriesnumber80de_DE
dc.identifier.scopus2-s2.0-34347258097-
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item.seriesrefPreprints des Institutes für Mathematik;80-
item.grantfulltextopen-
item.cerifentitytypePublications-
item.openairetypePreprint-
item.creatorOrcidMedviďová-Lukáčová, Mária-
item.creatorOrcidWarnecke, Gerald-
item.creatorOrcidZahaykah, Yousef-
item.languageiso639-1en-
item.creatorGNDMedviďová-Lukáčová, Mária-
item.creatorGNDWarnecke, Gerald-
item.creatorGNDZahaykah, Yousef-
item.fulltextWith Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_816b-
item.tuhhseriesidPreprints des Institutes für Mathematik-
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crisitem.author.deptMathematik E-10-
crisitem.author.parentorgStudiendekanat Elektrotechnik, Informatik und Mathematik (E)-
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