Numerical solution of Variational Inequalities by Adaptive Finite Elements: Franz-Theo Suttmeier
Vieweg+Teubner Verlag | ISBN: 3834806641 | January 1, 2008 | PDF (OCR) | 161 pages | 7552 KB
This work describes a general approach to a posteriori error estimation and adaptive mesh design for ?nite 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.
Rapidshare.com
http://rapidshare.com/files/220124866/GGP229_numerical_solutions.rar
