NDLI: P-Adaptive C k generalized finite element method for arbitrary polygonal clouds

Content Provider	Springer Nature Link
Author	Barros, Felício B. Barcellos, Clovis S. Duarte, Carlos A.
Copyright Year	2007
Abstract	A p-Adaptive Generalized Finite Element Method (GFEM) based on a Partition of Unity (POU) of arbitrary smoothness degree is presented. The shape functions are built from the product of a Shepard POU and enrichment functions. Shepard functions have a smoothness degree directly related to the weighting functions adopted in their definition. Here the weighting functions are obtained from boolean R-functions which allow the construction of C k approximations, with k arbitrarily large, defined over a polygonal patch of elements, named cloud. The Element Residual Method is used to obtain error indicators by taking into account the typical nodal enrichment scheme of the method. This procedure is enhanced by using approximations with a high degree of smoothness as it eliminates the discontinuity of the stress field in the interior of each cloud. Adaptive analysis of plane elasticity problems are presented, and the performance of the technique is investigated.
Starting Page	175
Ending Page	187
Page Count	13
File Format	PDF
ISSN	01787675
Journal	Computational Mechanics
Volume Number	41
Issue Number	1
e-ISSN	14320924
Language	English
Publisher	Springer-Verlag
Publisher Date	2007-04-13
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Generalized finite element method Partition of unity Error estimator Adaptivity Mesh reduction methods Mechanics, Fluids, Thermodynamics Computational Science and Engineering Numerical and Computational Methods in Engineering Theoretical and Applied Mechanics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Ocean Engineering Computational Theory and Mathematics Mechanical Engineering Computational Mechanics Computational Mathematics

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