The Characteristic Radial Basis Meshless Method for Convection-Dominated Diffusion Equations-Reference-Cited by-同舟云学术

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

Published:2012-06 Issue: Volume:182-183 Page:1756-1760
ISSN:1662-7482
Container-title:Applied Mechanics and Materials
language:
Short-container-title:AMM

Author:

Qin Xin Qiang¹,Duan Xian Bao¹,Guo Wei²

Affiliation:

1. Xi’an University of Technology

2. University of North Carolina at Pembroke

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.

Publisher

Trans Tech Publications, Ltd.

Link

https://www.scientific.net/AMM.182-183.1756.pdf

Reference10 articles.

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