Numerical study of the RBF-FD level set based method for partial differential equations on evolving-in-time surfaces
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Date
2017-11
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Abstract
In this article we present a Radial Basis Function (RBF)-Finite Difference (FD) level
set based method for numerical solution of partial differential equations (PDEs) of
the reaction-diffusion-convection type on an evolving-in-time hypersurface Γ (t). In a
series of numerical experiments we study the accuracy and robustness of the proposed
scheme and demonstrate that the method is applicable to practical models.
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Keywords
radial basis functions, finite differences, evolving surfaces, level set, surface PDEs