A mixed finite element discretisation of thin-plate splines

Title: A mixed finite element discretisation of thin-plate splines
Creator: Lamichhane, Bishnu P.; Roberts, Stephen; Stals, Linda
Relation: Fifteenth Biennial Conference on Computational Techniques and Applications Conference (CTAC10). Proceedings of the Fifteenth Biennial Conference on Computational Techniques and Applications Conference (CTAC10) (Sydney, Australia 28 November - 1 December 2010) p. C518-C534
Publisher Link: http://dx.doi.org/10.21914/anziamj.v52i0.3934
Publisher: Cambridge University Press
Resource Type: conference paper
Date: 2011
Description: Thin-plate splines are a well established technique for the interpolation 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 definite, and its size depends only on the number of finite elements not the number of data points.
Subject: thin-plate spines; mixed finite elements
Identifier: http://hdl.handle.net/1959.13/1316527
Identifier: uon:23199
Identifier: ISSN:1446-8735
Language: eng
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