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

Andrew Chernih, Quoc Thong Le Gia

Abstract


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.

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Keywords


multiscale, collocation, radial basis function, elliptic

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DOI: http://dx.doi.org/10.21914/anziamj.v54i0.6304



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