A Local Radial Basis Function Method for the Laplace–Beltrami Operator

  title={A Local Radial Basis Function Method for the Laplace–Beltrami Operator},
  author={Diego {\'A}lvarez and Pedro Gonz{\'a}lez-Rodr{\'i}guez and Manuel Kindelan},
  journal={Journal of Scientific Computing},
We introduce a new local meshfree method for the approximation of the Laplace–Beltrami operator on a smooth surface in R3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {R}}^3$$\end{document}. It is a direct method that uses radial basis functions augmented with multivariate polynomials. A key element of… 

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