Title :
New method about adaptive finite element algorithm for solving obstacle problems
Author_Institution :
Feixian Sch., Linyi Normal Univ., Feixian, China
Abstract :
The obstacle problem, which can be regard as a free boundary problem, is a typical of variational inequalities of the first kind. In this paper the domain is divided into three parts: linear elliptic partial differential equation area, entire contact area and free boundary area. We adopt different estimate strategies for different parts to propose a new adaptive finite element algorithm for obstacle problem. Numerical experiments approve of optimal convergence order obtained by the algorithm.
Keywords :
algorithm theory; boundary-value problems; convergence of numerical methods; finite element analysis; partial differential equations; variational techniques; adaptive finite element algorithm; entire contact area; estimate strategies; free boundary problem; linear elliptic partial differential equation; obstacle problems; optimal convergence order; variational inequalities; adaptive finite element algorithm; free boundary; obstacle problem;
Conference_Titel :
Industrial and Information Systems (IIS), 2010 2nd International Conference on
Conference_Location :
Dalian
Print_ISBN :
978-1-4244-7860-6
DOI :
10.1109/INDUSIS.2010.5565820
