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A Stabilised Mixed Finite Element Method for Thin Plate Splines Based on Biorthogonal Systems

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dc.contributor.authorLamichhane, Bishnu
dc.contributor.authorHegland, Markus
dc.date.accessioned2015-12-07T22:49:26Z
dc.date.available2015-12-07T22:49:26Z
dc.date.issued2013
dc.date.updated2015-12-07T12:08:26Z
dc.description.abstractWe propose a novel stabilised mixed finite element method for the discretisation of thin plate splines. The mixed formulation is obtained by introducing the gradient of the smoother as an additional unknown. Working with a pair of bases for the gradient of the smoother and the Lagrange multiplier, which forms a biorthogonal system, we eliminate these two variables (gradient of the smoother and Lagrange multiplier) leading to a positive definite formulation. We prove a sub-optimal a priori error estimate for the proposed finite element scheme.
dc.identifier.issn1446-8735
dc.identifier.urihttp://hdl.handle.net/1885/26750
dc.publisherAustralian Mathematical Society
dc.sourceANZIAM Journal
dc.titleA Stabilised Mixed Finite Element Method for Thin Plate Splines Based on Biorthogonal Systems
dc.typeJournal article
local.bibliographicCitation.lastpage87
local.bibliographicCitation.startpage72
local.contributor.affiliationLamichhane, Bishnu, University of Newcastle
local.contributor.affiliationHegland, Markus, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidHegland, Markus, u9200256
local.description.notesImported from ARIES
local.identifier.absfor010303 - Optimisation
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
local.identifier.ariespublicationu5328909xPUB46
local.identifier.citationvolume54
local.identifier.scopusID2-s2.0-84897885457
local.type.statusPublished Version

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