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Initial Value Methods for Parabolic Control Problems
Mathematics of Computation
Vol. 34, No. 149 (Jan., 1980), pp. 115-125
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2006223
Page Count: 11
You can always find the topics here!Topics: Control theory, Mathematical problems, Approximation, Cauchy problem, Conjugate gradient method, Iterative methods, Optimal control, Numerical methods, Hilbert spaces, Linear transformations
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We study iterative methods for parabolic control problems with a Neumann boundary value control and where the observation is the final state. The methods are based on transforming the original control problem (which may have constraints on the control) into an equivalent problem of minimizing a strictly convex functional (no constraints). The methods are semidiscrete in the sense that we assume that parabolic initial value problems can be solved exactly.
Mathematics of Computation © 1980 American Mathematical Society