Numerical solution of Variational Inequalities by Adaptive Finite Elements (Advances in Numerical Mathematics) - Softcover

Suttmeier, Franz-Theo

Softcover

ISBN 10: 3834806641 ISBN 13: 9783834806642

Verlag: Vieweg+Teubner Verlag, 2008

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

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

Details zur Ausgabe

• Verlag: Vieweg+Teubner Verlag
• Erscheinungsdatum: 2008
• Sprache: Englisch
• ISBN 10: 3834806641
• ISBN 13: 9783834806642
• Einband: Tapa blanda
• Anzahl der Seiten: 172
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar