期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 193, 期 12-14, 页码 1257-1275出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2003.12.019
关键词
essential boundary conditions; mesh-free methods; lagrange multipliers; Nitsche's method; coupling with finite elements
Imposing essential boundary conditions is a key issue in mesh-free methods. The mesh-free interpolation does not verify the Kronecker delta property and, therefore, the imposition of prescribed values is not as straightforward as for the finite element method. The aim of this paper is to present a general overview on the existing techniques to enforce essential boundary conditions in Galerkin based mesh-free methods. Special attention is paid to the mesh-free coupling with finite elements for the imposition of prescribed values and to methods based on a modification of the Galerkin weak form. Particular examples are used to analyze and compare their performance in different situations. (C) 2004 Published by Elsevier B.V.
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