Multiscale methods with compactly supported radial basis functions for elliptic partial differential equations on bounded domains


  • Andrew Chernih School of Mathematics and Statistics University of New South Wales Sydney
  • Quoc Thong Le Gia School of Mathematics and Statistics University of New South Wales Sydney



multiscale, collocation, radial basis function, elliptic


We propose a multiscale approximation method for constructing numerical solutions to elliptic partial differential equations on a bounded domain. The approximate solution is constructed in a multi-level fashion, with each level using compactly supported radial basis functions on an increasingly fine mesh. Numerical experiments support the theoretical results. References
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