Advances in Numerical Mathematics

Numerical solution of Variational Inequalities by Adaptive Finite Elements

Authors: Suttmeier, Franz-Theo

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About this book

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.

About the authors

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

Table of contents (15 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-8348-9546-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.99
price for USA
  • ISBN 978-3-8348-0664-2
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.
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Bibliographic Information

Bibliographic Information
Book Title
Numerical solution of Variational Inequalities by Adaptive Finite Elements
Authors
Series Title
Advances in Numerical Mathematics
Copyright
2008
Publisher
Vieweg+Teubner Verlag
Copyright Holder
Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden GmbH, Wiesbaden
eBook ISBN
978-3-8348-9546-2
DOI
10.1007/978-3-8348-9546-2
Softcover ISBN
978-3-8348-0664-2
Series ISSN
1616-2994
Edition Number
1
Number of Pages
X, 161
Topics