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Report 1997-08
Error Estimates for Reconstruction using Thin Plate Spline Interpolants
T. Gutzmer
Abstract: Using thin plate spline interpolants we derive error bounds for the reconstruction of point values where the interpolation data is given by cell values. Sonar investigates in [IMA J. of Num. Analysis {\bf 16}, 1996, 549-581] numerical solutions of hyperbolic conservation laws where the local reconstruction step is performed using thin plate spline interpolants. We show that local reconstruction yields second order as in the global case but without assuming additional boundary conditions and smoothness requirements.
Keywords: Thin Plate Spline Reconstruction, Conservation Laws
Paper: Available as PDF (267 KB) or as hardcopy to order reports@sam.math.ethz.ch.
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