About: Effective semi-analytic integration for hypersingular Galerkin boundary integral equations for the Helmholtz equation in 3D

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About: Effective semi-analytic integration for hypersingular Galerkin boundary integral equations for the Helmholtz equation in 3D Goto Sponge NotDistinct Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://link.springer.com/article/10.1007%2Fs10492-014-0070-6
Description	We deal with the Galerkin discretization of the boundary integral equations corresponding to problems with the Helmholtz equation in 3D. Our main result is the semi-analytic integration for the bilinear form induced by the hypersingular operator. Such computations have already been proposed for the bilinear forms induced by the single-layer and the double-layer potential operators in the monograph The Fast Solution of Boundary Integral Equations by O. Steinbach and S. Rjasanow and we base our computations on these results. We deal with the Galerkin discretization of the boundary integral equations corresponding to problems with the Helmholtz equation in 3D. Our main result is the semi-analytic integration for the bilinear form induced by the hypersingular operator. Such computations have already been proposed for the bilinear forms induced by the single-layer and the double-layer potential operators in the monograph The Fast Solution of Boundary Integral Equations by O. Steinbach and S. Rjasanow and we base our computations on these results. (en)
Title	Effective semi-analytic integration for hypersingular Galerkin boundary integral equations for the Helmholtz equation in 3D Effective semi-analytic integration for hypersingular Galerkin boundary integral equations for the Helmholtz equation in 3D (en)
skos:prefLabel	Effective semi-analytic integration for hypersingular Galerkin boundary integral equations for the Helmholtz equation in 3D Effective semi-analytic integration for hypersingular Galerkin boundary integral equations for the Helmholtz equation in 3D (en)
skos:notation	RIV/61989100:27740/14:86089838!RIV15-MSM-27740___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(ED1.1.00/02.0070), P(EE.2.3.20.0070)
http://linked.open...iv/cisloPeriodika	5
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Zapletal, Jan Bouchala, Jiří
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoká škola báňská - Technická univerzita Ostrava / IT4Innovations
http://linked.open...dnocenehoVysledku	13638
http://linked.open...ai/riv/idVysledku	RIV/61989100:27740/14:86089838
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	hypersingular boundary integral equation; Helmholtz equation; Galerkin discretization; boundary element method (en)
http://linked.open.../riv/klicoveSlovo	Galerkin discretization hypersingular boundary integral equation boundary element method Helmholtz equation
http://linked.open...odStatuVydavatele	CZ - Česká republika
http://linked.open...ontrolniKodProRIV	[B6B842CAD591]
http://linked.open...i/riv/nazevZdroje	Applications of Mathematics
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Creating a multidisciplinary R&D team for reliable solution of mechanics tasks IT4Innovations Centre of Excellence
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	59
http://linked.open...iv/tvurceVysledku	Zapletal, Jan Bouchala, Jiří
http://linked.open...ain/vavai/riv/wos	000341834700003
issn	0862-7940
number of pages	16 (xsd:int)
http://bibframe.org/vocab/doi	10.1007/s10492-014-0070-6
http://localhost/t...ganizacniJednotka	27740

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