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Assessment of the cost and accuracy of the generalized FEM
Author(s) -
Strouboulis Theofanis,
Zhang Lin,
Babuška Ivo
Publication year - 2006
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.1750
Subject(s) - finite element method , a priori and a posteriori , mathematics , calculus (dental) , computer science , mathematical optimization , engineering , structural engineering , philosophy , medicine , epistemology , dentistry
In this paper, we address the cost versus accuracy capabilities for the generalized FEM (GFEM) which was developed in ( Comput. Methods Appl. Mech. Eng. 2003; 192 :3109–3161, Int. J. Numer. Meth. Engng 2004; 60 :1639–1672, Ph.D. Thesis , Texas A&M University, College Station, TX, August 2003 (Advisor: T. Strouboulis)), and also the construction of two‐sided a posteriori error estimates, which can be used to assess the achieved accuracy at all levels of the method. Copyright © 2006 John Wiley & Sons, Ltd.