1. An iterative algorithm for elliptic variational inequalities of the second kind.
- Author
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Cheng, Xiaoliang and Zheng, Xuan
- Subjects
- *
ITERATIVE methods (Mathematics) , *ALGORITHMS , *VARIATIONAL inequalities (Mathematics) , *DISCRETE systems , *FINITE element method , *PROBLEM solving , *STOCHASTIC convergence - Abstract
In this paper, we propose an iterative algorithm for a simplified friction problem which is formulated as an elliptic variational inequality of the second kind. We approximate the simplified friction problem by a discrete system with the finite element method. Based on the use of the linearized technique and by constructing a particular function, we put forward the new algorithm to get the discrete solution. This algorithm is attractive due to its simple proof of convergence and easy implementation. A linear equation is solved in each iteration. Numerical results confirm that our algorithm is efficient and mesh independent. [ABSTRACT FROM AUTHOR]
- Published
- 2014
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