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Numerical solution of Variational Inequalities by Adaptive Finite ElementsNumerical solution of Variational Inequalities by Adaptive Finite Elements
Numerical solution of Variational Inequalities by Adaptive Finite Elements
Autor: Suttmeier, Franz-Theo

Numerical solution of Variational Inequalities by Adaptive Finite Elements

2008. X, 161 pp. with 51 Fig. and 24 Tab. Soft cover
ISBN: 978-3-8348-0664-2

59,95 €
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Das Buch
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.
Aus dem Inhalt
variational inequality - finite element method - adaptivity - a priori error estimate - a posteriori error estimate
Zielgruppe
Students and researchers from the field of numerical mathematics; user of adaptive finite element techniques
Autor | Herausgeber
Dr. Franz-Theo Suttmeier is a professor of Scientific Computing at the Institute of Applied Analysis and Numerics at the University of Siegen.
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