Error estimates in Sobolev spaces for interpolating thin plate splines under tension

This paper discusses L p-error estimates for interpolation by thin plate spline under tension of a function in the classical Sobolev space on an open bounded set with a Lipschitz-continuous boundary. A property of convergence is also given when the set of interpolating points becomes more and more dense. (c) 2006 Elsevier B.V. All rights reserved.