Numerical Solution of Variational Inequalities by Adaptive Finite Elements (Paperback) (ISBN-13: 9783834806642)

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.

Author: Franz-Theo Suttmeier
ISBN-10: 3834806641
ISBN-13: 9783834806642
Publisher: Vieweg+teubner Verlag
Language: English
Published: 08/28/2008
Pages: 161
Format: Paperback
Weight: 0.47lbs
Size: 8.27h x 5.83w x 0.37d