RBF Moment computation and meshless cubature on general polygonal regions

A. Sommariva and M. Vianello

Applied Mathematics and Computation, 2021, vol. 409, issue C

Abstract: We obtain analytical formulas for the computation of integrals (moments) of all the most common Radial Basis Functions (usually shortened as RBFs) on polygonal regions that may be nonconvex or even multiply connected. With RBFs of finite regularity, such as Thin-Plate Splines, Wendland functions and Radial Powers, our Matlab codes, based on standard linear solvers for the corresponding moment matching systems, provide cubature rules that are reasonably accurate and numerically stable.

Keywords: Numerical cubature; Scattered data; Radial basis functions (RBFs); Polygonal regions; Green’S formula (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:409:y:2021:i:c:s0096300321004641

DOI: 10.1016/j.amc.2021.126375

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