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A study on the performance of natural neighbour‐based Galerkin methods
Author(s) -
Alfaro I.,
Yvonnet J.,
Chinesta F.,
Cueto E.
Publication year - 2007
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.1993
Subject(s) - interpolation (computer graphics) , galerkin method , natural (archaeology) , mathematical optimization , scheme (mathematics) , mathematics , algorithm , computer science , laplace transform , finite element method , artificial intelligence , geology , engineering , mathematical analysis , structural engineering , motion (physics) , paleontology
In this paper we address the problem of improving natural element simulations in terms of computational cost. Several problems are discussed, that include an efficient natural neighbour search algorithm and a comparison of different natural neighbour‐based interpolation algorithms. In particular, we review the so‐called pseudo ‐NEM, a moving least squares‐like approximation scheme that employs natural neighbours, and compare it with traditional Sibson and Laplace interpolation schemes in terms of both accuracy and computational cost. Some examples in linear Elasticity and visco‐plasticity are analysed in order to test the proposed schemes in engineering problems. Copyright © 2007 John Wiley & Sons, Ltd.