NDLI: A bridging transition technique for the combination of meshfree method with finite element method in 2D solids and structures

Content Provider	Springer Nature Link
Author	Gu, Yuantong T. Yarlagadda, Prasad K. D. V.
Copyright Year	2009
Abstract	For certain continuum problems, it is desirable and beneficial to combine two different methods together in order to exploit their advantages while evading their disadvantages. In this paper, a bridging transition algorithm is developed for the combination of the meshfree method (MM) with the finite element method (FEM). In this coupled method, the MM is used in the sub-domain where the MM is required to obtain high accuracy, and the FEM is employed in other sub-domains where FEM is required to improve the computational efficiency. The MM domain and the FEM domain are connected by a transition (bridging) region. A modified variational formulation and the Lagrange multiplier method are used to ensure the compatibility of displacements and their gradients. To improve the computational efficiency and reduce the meshing cost in the transition region, regularly distributed transition particles, which are independent of either the meshfree nodes or the FE nodes, can be inserted into the transition region. The newly developed coupled method is applied to the stress analysis of 2D solids and structures in order to investigate its’ performance and study parameters. Numerical results show that the present coupled method is convergent, accurate and stable. The coupled method has a promising potential for practical applications, because it can take advantages of both the MM and FEM when overcome their shortcomings.
Starting Page	119
Ending Page	131
Page Count	13
File Format	PDF
ISSN	01787675
Journal	Computational Mechanics
Volume Number	44
Issue Number	1
e-ISSN	14320924
Language	English
Publisher	Springer-Verlag
Publisher Date	2009-01-27
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Numerical analysis Coupled method Meshfree method Finite element method Bridging transition Mechanics, Fluids, Thermodynamics Computational Science and Engineering Theoretical and Applied Mechanics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Ocean Engineering Computational Theory and Mathematics Mechanical Engineering Computational Mechanics Computational Mathematics

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