Initial value methods for parabolic control problems

Author:
Ragnar Winther

Journal:
Math. Comp. **34** (1980), 115-125

MSC:
Primary 65K10; Secondary 49D05, 65Mxx

DOI:
https://doi.org/10.1090/S0025-5718-1980-0551293-7

MathSciNet review:
551293

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Abstract: 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.

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DOI:
https://doi.org/10.1090/S0025-5718-1980-0551293-7

Article copyright:
© Copyright 1980
American Mathematical Society