The Characteristic Radial Basis Meshless Method for Convection-Dominated Diffusion Equations

Abstract:

A characteristic radial basis meshless method (CRBM) is developed for numerically solving convection-dominated diffusion equations. This method is a truly meshless technique without mesh discretization, and it is numerically stable and more efficient than the characteristic finite element method (CFEM) as demonstrated by the provided numerical results for convection-dominated diffusion problems. Moreover, the existence and uniqueness of the solution to the method are proved.

• Periodical: Applied Mechanics and Materials (Volumes 182-183)
• Pages: 1756-1760
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.182-183.1756
• Online since: June 2012
• Authors: Xin Qiang Qin, Xian Bao Duan, Wei Guo
• Keywords: Convection-Diffusion Equations, Meshless Method, Radial Basis Function (RBF)

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