In:
PAMM, Wiley, Vol. 10, No. 1 ( 2010-12), p. 647-648
Kurzfassung:
The concept of adaptive error control for finite element Galerkin discretizations has more recently been extended from the pure treatment of the discretization errors [1], [2] also to the control of modelling errors [4], [5] . These techniques can be employed for a rigorous justification of the local choice of the model out of a given hierarchy with increasing complexity. In the present paper the concept is exemplified by a hierarchy of linear‐elastic models, consisting of a basic model with constant E modulus and an improved model with oscillating E modulus. Significant reduction of the computational complexity can be achieved by a proper choice of the model in different subdomains, automatically chosen by the error estimators. Several error indicators are investigated in the context of goal oriented error estimation. Their efficiency is compared by means of finite element simulations [3] of an elementary example. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Materialart:
Online-Ressource
ISSN:
1617-7061
,
1617-7061
DOI:
10.1002/pamm.201010316
Sprache:
Englisch
Verlag:
Wiley
Publikationsdatum:
2010
ZDB Id:
2078931-2
