Stals, LindaRoberts, Stephen2015-12-089783540751991http://hdl.handle.net/1885/29999A 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 growsKeywords: 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; S200810.1007/978-3-540-75199-1_802016-02-24