In this paper,we introduce a new iterative method based on the hybrid viscosity approximation method for finding a common element of the set of solutions of a general system of variational inequalities,an equilibrium ...
supported by the National Natural Science Foundation of China(10901122);Zhejiang Provincial Natural Science Foundation (Y6090108);supported by the National Natural Science Foundation of China(10971165)
Based on the low-order conforming finite element subspace (Vh, Mh) such as the P1-P0 triangle element or the Q1-P0 quadrilateral element, the locally stabilized finite element method for the Stokes problem with nonl...
The monotone variational inequalities VI(Ω, F) have vast applications, including optimal controls and convex programming. In this paper we focus on the VI problems that have a particular splitting structure and in ...
NSFC grant number 19971050 and by 973 grant number G1998030420.
Focuses on the construction of domain decomposition methods (DDM) with non-matching grids based on mixed finite element methods for the unilateral problem. Information on DDM with nonmatching grids; Discussion on doma...
In this paper, we establish a quasi-Newton method for solving the KKT system arising from variational inequalities. The subproblems of the proposed method are lower-dimensional mixed linear complementarity problems. A...
Some optimization problems in mathematical programming can be translated to a variant variational inequality of the following form: Find a vectoru*, such that This paper presents a simple iterative method for solving ...
This paper studies the linear convergence properties of a class of the projection and contraction methods for the affine variational inequalities, and proposes a necessary and sufficient condition under which PC-Metho...