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A localized meshless method for diffusion on folded surfaces
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DOI：10.1016/j.jcp.2015.05.021.png)
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Partial differential equations (PDEs) on surfaces arise in a variety of application areas including biological systems, medical imaging, fluid dynamics, mathematical physics, image processing and computer graphics. In this paper, we propose a radial basis function (RBF) discretization of the closest point method. The corresponding localized meshless method may be used to approximate diffusion on smooth or folded surfaces. Our method has the benefit of having an a priori error bound in terms of percentage of the norm of the solution. A stable solver is used to avoid the ill-conditioning that arises when the radial basis functions (RBFs) become flat. (C) 2015 Elsevier Inc. All rights reserved.
Keyword:
Power function
Radial basis function (RBF)
Closest point method
Diffusion
Surface
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IF:
3.8
论文数:
1.6W
被引数:
7.4W
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