Abstract
Polyharmonic splines are used to interpolate data in a stationary multilevel iterative refinement scheme. By using such functions the necessary tools are provided to obtain simple pointwise error bounds on the approximation. Linear convergence between levels is shown for regular data on a scaled multiinteger grid, and a multilevel domain decomposition method.
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Hales, S., Levesley, J. Error Estimates for Multilevel Approximation Using Polyharmonic Splines. Numerical Algorithms 30, 1–10 (2002). https://doi.org/10.1023/A:1015674607196
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DOI: https://doi.org/10.1023/A:1015674607196