In this paper, a kind of nonoverlapping domain decomposition method, for solving variational inequalities with nonlinear source terms, is proposed. Convergence theorem and convergent rate analysis of the method are given.
We establish a quasi-Newton algorithm for solving a class of variational inequality problems which subproblems are linear equations. By presenting a suitable line search, the algorithm is well-defined. And under certain conditions, we get its global convergence and locally superlinear convergence.
