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Preconditioners for low order thin plate spline approximations

Date

Authors

Stals, Linda

Roberts, Stephen

Publisher

Springer

Abstract

A commonly used method for fitting smooth functions to noisy data is the thin-plate spline method. Traditional thin-plate splines use radial basis functions and consequently require the solution of a dense linear system of equations whose dimension grows

Keywords

Keywords: Basis functions; Finite element grid; Ill-conditioned; Iterative solvers; Linear system of equations; Low order; Low-order polynomials; Noisy data; Number of datum; Preconditioner; Preconditioners; Radial basis functions; Regularisation; Schwarz method; S

URI

http://hdl.handle.net/1885/29999

Collections

ANU Research Publications

Type

Book Title

Domain Decomposition Methods in Science and Engineering XVII

DOI

10.1007/978-3-540-75199-1_80

Restricted until

2037-12-31

Downloads

File

Description

01_Stals_Preconditioners_for_low_order_2008.pdf (116.27 KB)