FE-ADMM Algorithms for Some Elliptic Optimal Control Problems

摘要：       An infinite-dimentional inexact ADMM is proposed for solving control constrained optimal control problem with L1 and/or L2 cost. Two
                   inner subproblems in it are discretized by two different type of finite element scheme, so that one of the discretized subproblem has a closed
                   form solution and the other can be solved efficiently by PMHSS preconditioned GMRES method.  Theoretical and numerical results are given
                   to show effectiveness of the proposed methods.