A Product Formula Approach to a Nonhomogeneous Boundary Optimal Control Problem Governed by Nonlinear Phase-field Transition System Part II: Lie-Trotter Product Formula

作者：Benincasa Tommaso; Favini Angelo^*; Morosanu Costica

来源：Journal of Optimization Theory and Applications, 2011, 148(1): 31-45.

DOI：10.1007/s10957-010-9743-9

• Boundary value problems
• Nonlinear parabolic systems
• Fractional steps method
• Phase-field models

In this paper we prove the convergence of an iterative scheme of fractional steps type for a non-homogeneous Cauchy-Neumann boundary optimal control problem governed by non-linear phase-field system, when the boundary control is dependent both on time and spatial variables. Moreover, necessary optimality conditions are established for the approximating process. The advantage of such approach leads to a numerical algorithm in order to approximate the original optimal control problem.

• 出版日期2011-1