Multiscale methods with compactly supported radial basis functions for the Stokes problem on bounded domains
Multiscale methods with compactly supported radial basis functions for the Stokes problem on bounded domains
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DOI：
10.1007/s10444-016-9458-z
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发表时间：
2012-11
影响因子：
1.7
通讯作者：
A. Chernih;Q. Gia
中科院分区：
文献类型：
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作者：
A. Chernih;Q. Gia
在本文中，我们研究了径向基函数（RBF）在斯托克斯问题搭配近似中的应用。近似解以多级方式构建，每个级都使用具有递减缩放因子的紧凑支持的径向基函数。我们使用对称配置并给出收敛的充分条件并考虑稳定性分析。数值实验支持了理论结果。
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 consider stability analysis. Numerical experiments support the theoretical results.