Numerical solution of Variational Inequalities by Adaptive Finite Elements - Couverture souple

Suttmeier, Franz-Theo

 
9783834806642: Numerical solution of Variational Inequalities by Adaptive Finite Elements
Couverture souple
ISBN 10 : 3834806641 ISBN 13 : 9783834806642
Editeur : Vieweg+Teubner Verlag, 2008

Synopsis

Franz-Theo Suttmeier describes a general approach to a posteriori error estimation
and adaptive mesh design for finite element models where the solution
is subjected to inequality constraints. This is an extension to variational
inequalities of the so-called Dual-Weighted-Residual method (DWR method),
which is based on a variational formulation of the problem and uses global
duality arguments for deriving weighted a posteriori error estimates with respect
to arbitrary functionals of the error. In these estimates local residuals of
the computed solution are multiplied by sensitivity factors, which are obtained
from a numerically computed dual solution. The resulting local error indicators
are used in a feed-back process for generating economical meshes, which
are tailored according to the particular goal of the computation. This method
is developed here for several model problems. Based on these examples, a general
concept is proposed, which provides a systematic way of adaptive error
control for problems stated in form of variational inequalities.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Dr. Franz-Theo Suttmeier is a professor of Scientific Computing at the Institute of Applied Analysis and Numerics at the University of Siegen.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Vieweg+Teubner Verlag
Date d'édition
2008
Langue
anglais
ISBN 10 
3834806641
ISBN 13 
9783834806642
Reliure
Broché
Nombre de pages
172
Coordonnées du fabricant
non disponible
Personne responsable
non disponible