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

摘要：

　　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.

关键词： Convection-diffusion equations Meshless method Radial basis functions

作者: Qin Xinqiang Duan Xianbao Guo Wei

作者单位: Department of Mathematics,Xian University of Technology,Xian,Shaanxi China 710048 University of North Carolina at Pembroke Pembroke,NC 28372,U.S.A

会议类型: 国际会议

会议名称: 2012 International Applied Mechanics,Mechatronics Automation Symposium(2012应用力学,机电一体化自动化国际研讨会)(IAMMAS2012)

会议地点: 沈阳

会议语种:英文

页码: 1756-1760

在线出版日期: 2012-09-07（万方平台首次上网日期，不代表论文的发表时间）