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	An extended meshfree method for boundary value problems
	CHEN, JS ; WANG, DD ; Wang DD(王东东) ; DONG, SB
	2004
关键词	extended meshfree method fundamental solution auxiliary boundary conditions bending exactness linear exactness
英文摘要	An extended meshfree method is presented for treating boundary value problems, where the total solution is expressed by a combination of particular and homogeneous solutions, each of which is assigned a specific role. The particular solution is any analytical (or numerical) expression satisfying the governing differential equation containing the source term but not necessarily the boundary conditions. A general method is presented for constructing this solution. Thus, the problem is reduced to a homogeneous equation where the original boundary conditions are modified by the particular solution. Herein, the meshfree method is used to solve this homogeneous equation, which involves a lower order behavior so that a relatively coarse discretization is acceptable. Several boundary value problems from potential theory as well as from shear deformable plate theory are solved, where linear exactness [Int. J. Numer. Methods Engrg. 50 (2001) 435; Int. J. Numer. Methods Engrg. 53 (2002) 2587] and bending exactness [Comput. Methods Appl. Mech. Engrg. 193 (2004) 1065], respectively, are imposed in their meshfree approximation fields. Numerical results demonstrate that this extended meshfree approach significantly improves the solution accuracy with commensurately less computational effort compared to the conventional meshfree formulation. (C) 2004 Elsevier B.V. All rights reserved.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/64795]
专题	建筑土木－已发表论文
推荐引用方式 GB/T 7714	CHEN, JS,WANG, DD,Wang DD,et al. An extended meshfree method for boundary value problems[J],2004.
APA	CHEN, JS,WANG, DD,王东东,&DONG, SB.(2004).An extended meshfree method for boundary value problems..
MLA	CHEN, JS,et al."An extended meshfree method for boundary value problems".(2004).

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