Multiscale methods with compactly supported radial basis functions for the Stokes problem on bounded domains

Andrew Chernih; Quoc Thong Le Gia

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arXiv · 1211.1435

Multiscale methods with compactly supported radial basis functions for the Stokes problem on bounded domains

Andrew Chernih·Quoc Thong Le Gia

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Abstract

In this paper, we investigate the application of radial basis functions (RBFs) for the approximation with collocation of the Stokes problem. The approximate solution is constructed in a multi-level fashion, each level using compactly supported radial basis functions with decreasing scaling factors. We use symmetric collocation and give sufficient conditions for convergence and stability analysis is also presented. Numerical experiments support the theoretical results.

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Andrew Chernih, Quoc Thong Le Gia. 2012-11-07. Multiscale methods with compactly supported radial basis functions for the Stokes problem on bounded domains. https://arxiv.org/abs/1211.1435

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