[DOWNLOAD] "Numerical solution of Variational Inequalities by Adaptive Finite Elements" by Franz-Theo Suttmeier " Book PDF Kindle ePub Free
eBook details
- Title: Numerical solution of Variational Inequalities by Adaptive Finite Elements
- Author : Franz-Theo Suttmeier
- Release Date : January 12, 2009
- Genre: Mathematics,Books,Science & Nature,
- Pages : * pages
- Size : 7035 KB
Description
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.