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A mixed finite element discretisation of thin-plate splines

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dc.contributor.authorLamichhane, Bishnu
dc.contributor.authorRoberts, Stephen
dc.contributor.authorStals, Linda
dc.date.accessioned2015-12-07T22:40:58Z
dc.date.issued2011
dc.date.updated2015-12-07T10:55:59Z
dc.description.abstractThin-plate splines are a well established technique for the inter- polation and smoothing of scattered data. However, the traditional formulation of the method leads to large, dense and often ill-conditioned matrices, which reduces its applicability in practice. We present a new mixed finite element formulation based on the ideas behind the mortar finite element methods. The resulting system of equations is sparse and positive de finite, and its size depends only on the number of finite elements not the number of data points.
dc.identifier.issn1446-8735
dc.identifier.urihttp://hdl.handle.net/1885/24094
dc.publisherAustralian Mathematical Society
dc.sourceANZIAM Journal
dc.source.urihttp://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/3934
dc.titleA mixed finite element discretisation of thin-plate splines
dc.typeJournal article
local.bibliographicCitation.lastpageC534
local.bibliographicCitation.startpageC518
local.contributor.affiliationLamichhane, Bishnu, University of Newcastle
local.contributor.affiliationRoberts, Stephen, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationStals, Linda, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidRoberts, Stephen, u8602296
local.contributor.authoruidStals, Linda, u4042952
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor010301 - Numerical Analysis
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
local.identifier.ariespublicationu4685828xPUB30
local.identifier.citationvolume52
local.identifier.scopusID2-s2.0-84870921007
local.type.statusPublished Version

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