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

An analysis of a phase field model of a free boundary

Gunduz Caginalp · Archive for Rational Mechanics and Analysis · 1986 · 786 citations

Natural Sciences, Mathematics, Physics +11

Optimal control of a phase field model for solidification

Karl-Heinz Hoffman, Lishang Jiang · Numerical Functional Analysis and Optimization · 1992 · 89 citations

Natural Sciences, Mathematics, Fluid Dynamics +8

Analysis of the Lagrange-SQP-Newton Method for the Control of a Phase Field Equation

Matthias Heinkenschloss, F. Troeltzsch · Rice Digital Scholarship Archive (Rice University) · 1998 · 38 citations · Full text

Natural Sciences, Mathematics, Differential Equations +14

Fractional Steps Scheme to Approximate the Phase-Field Transition System with Non-Homogeneous Cauchy–Neumann Boundary Conditions

Tommaso Benincasa, Costică Moroşanu · Numerical Functional Analysis and Optimization · 2009 · 21 citations

Natural Sciences, Physics, Computational Mechanics +9

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

Tommaso Benincasa, Angelo Favini, Costică Moroşanu · Journal of Optimization Theory and Applications · 2010 · 17 citations

Natural Sciences, Mathematics, Dynamical Systems +10