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On the imposition of essential boundary conditions in natural neighbour Galerkin methods

✍ Scribed by Cueto, E. ;Cegoñino, J. ;Calvo, B. ;Doblaré, M.

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
306 KB
Volume
19
Category
Article
ISSN
1069-8299

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✦ Synopsis

Abstract

In this paper issues related to the imposition of essential boundary conditions in Natural Neighbour Galerkin methods are addressed. Both Sibson and non‐Sibson interpolants ability to exactly reproduce essential boundary conditions is investigated and a new analytical condition ensuring linear precision along explicitly described (i.e. CAD) boundaries in both two and three dimensions is presented. The paper is completed with some benchmark numerical examples. Copyright © 2003 John Wiley & Sons, Ltd.

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## Abstract One of major difficulties in the implementation of meshless methods is the imposition of essential boundary conditions as the approximations do not pass through the nodal parameter values. As a consequence, the imposition of essential boundary conditions in meshless methods is quite awk