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

dc.contributor.author	Zapletal, Jan
dc.contributor.author	Bouchala, Jiří
dc.date.accessioned	2015-01-26T10:06:45Z
dc.date.available	2015-01-26T10:06:45Z
dc.date.issued	2014
dc.description.abstract	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.	cs
dc.description.firstpage	392	cs
dc.description.issue	162	cs
dc.description.lastpage	400	cs
dc.description.source	Web of Science	cs
dc.description.volume	59	cs
dc.identifier.citation	Applications of Mathematics. 2014, vol. 59, issue 5, p. 527-542.	cs
dc.identifier.doi	10.1007/s10492-014-0070-6
dc.identifier.issn	0862-7940
dc.identifier.issn	1572-9109
dc.identifier.uri	http://hdl.handle.net/10084/106340
dc.identifier.wos	000341834700003
dc.language.iso	en	cs
dc.publisher	Springer	cs
dc.relation.ispartofseries	Applications of Mathematics	cs
dc.relation.uri	http://dx.doi.org/10.1007/s10492-014-0070-6	cs
dc.title	Effective semi-analytic integration for hypersingular Galerkin boundary integral equations for the Helmholtz equation in 3D	cs
dc.type	article	cs
dc.type.status	Peer-reviewed	cs

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