Imposing essential boundary conditions in mesh-free methods

Author (s): Fernández-Méndez, S. and Huerta, A.
Journal: Computer Methods in Applied Mechanics and Engineering

Volume: 193, Issues 12 -14
Pages: 1257 – 1275
Date: 2004

Abstract:
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.

Journal paper (from the publisher)  
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Bibtex:

@article{SFM-FH:04,
  Author   = {Fernandez-Mendez, Sonia and Huerta, Antonio},
  Title    = {Imposing essential boundary conditions in mesh-free methods},
  Fjournal = {Computer Methods in Applied Mechanics and Engineering},
  Journal  = {Comput. Methods Appl. Mech. Eng.},
  Volume   = {193},
  Number   = {12--14},
  Pages    = {1257--1275},
  Year     = {2004}}