Preconditioners for low order thin plate spline approximations

Date

2008

Authors

Stals, Linda
Roberts, Stephen

Journal Title

Journal ISSN

Volume Title

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

Description

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

Citation

Source

Type

Book chapter

Book Title

Domain Decomposition Methods in Science and Engineering XVII

Entity type

Access Statement

License Rights

Restricted until

2037-12-31