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Essential boundary condition enforcement in meshless methods: boundary flux collocation method
Author(s) -
Wu ChengKong C.,
Plesha Michael E.
Publication year - 2001
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.267
Subject(s) - singular boundary method , kronecker delta , lagrange multiplier , galerkin method , boundary value problem , mathematics , moving least squares , regularized meshless method , collocation (remote sensing) , mathematical analysis , boundary (topology) , mathematical optimization , finite element method , boundary element method , computer science , structural engineering , engineering , physics , quantum mechanics , machine learning
Element‐free Galerkin (EFG) methods are based on a moving least‐squares (MLS) approximation, which has the property that shape functions do not satisfy the Kronecker delta function at nodal locations, and for this reason imposition of essential boundary conditions is difficult. In this paper, the relationship between corrected collocation and Lagrange multiplier method is revealed, and a new strategy that is accurate and very simple for enforcement of essential boundary conditions is presented. The accuracy and implementation of this new technique is illustrated for one‐dimensional elasticity and two‐dimensional potential field problems. Copyright © 2001 John Wiley & Sons, Ltd.