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Adaptive finite element strategies based on error assessment
Author(s) -
Huerta Antonio,
RodríguezFerran Antonio,
Díez Pedro,
Sarrate Josep
Publication year - 1999
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/(sici)1097-0207(19991210)46:10<1803::aid-nme725>3.0.co;2-3
Subject(s) - discretization , estimator , finite element method , computation , discretization error , computer science , mathematical optimization , mathematics , algorithm , calculus (dental) , engineering , statistics , structural engineering , mathematical analysis , medicine , dentistry
Two main ingredients are needed for adaptive finite element computations. First, the error of a given solution must be assessed, by means of either error estimators or error indicators. After that, a new spatial discretization must be defined via h ‐, p ‐ or r ‐adaptivity. In principle, any of the approaches for error assessment may be combined with any of the procedures for adapting the discretization. However, some combinations are clearly preferable. The advantages and limitations of the various alternatives are discussed. The most adequate strategies are illustrated by means of several applications in solid mechanics. Copyright © 1999 John Wiley & Sons, Ltd.