A Product Formula Approach to a Nonhomogeneous Boundary Optimal Control Problem Governed by Nonlinear Phase-field Transition System

Tommaso Benincasa (), Angelo Favini () and Costică Moroşanu ()
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Tommaso Benincasa: University of Bologna
Angelo Favini: University of Bologna
Costică Moroşanu: University of Iaşi

Journal of Optimization Theory and Applications, 2011, vol. 148, issue 1, No 3, 45 pages

Abstract: Abstract 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.

Keywords: Boundary value problems; Nonlinear parabolic systems; Fractional steps method; Phase-field models (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-010-9743-9

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