RBF Moment computation and meshless cubature on general polygonal regions

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Applied Mathematics and Computation

سال: 2021

ISSN: ['1873-5649', '0096-3003']

DOI: https://doi.org/10.1016/j.amc.2021.126375