Spline-interpolation solution of 3D Dirichlet problem for a certain class of solids

dc.contributor.author	Ivanshin P.
dc.contributor.author	Shirokova E.
dc.date.accessioned	2018-09-18T20:07:34Z
dc.date.available	2018-09-18T20:07:34Z
dc.date.issued	2013
dc.identifier.issn	0272-4960
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/136755
dc.description.abstract	We present a spline-interpolation approximate solution of the Dirichlet problem for the Laplace equation in axisymmetric solids, cones and cylinders. Our method is based on reduction of the 3D problem to a sequence of 2D Dirichlet problems. The main advantage of the spline-interpolation solution of the 3D Dirichlet problem is its continuity in the whole domain up to the boundary even for the case of linear spline. © 2012 The Author 2012. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.
dc.relation.ispartofseries	IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
dc.subject	Approximate solution
dc.subject	Boundary-value problem
dc.subject	Laplace equation
dc.subject	Spline
dc.title	Spline-interpolation solution of 3D Dirichlet problem for a certain class of solids
dc.type	Article
dc.relation.ispartofseries-issue	6
dc.relation.ispartofseries-volume	78
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	1109
dc.source.id	SCOPUS02724960-2013-78-6-SID84890184395

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