These are AMPL scripts for parabolic boundary control problems from the papers:

   H. D. Mittelmann,
   ``Sufficient Optimality for Discretized Parabolic and
     Elliptic Control Problems'', in Fast solution of discretized
     optimization problems, K.-H. Hoffmann, R.H.W. Hoppe, and V. Schulz (eds.),
     ISNM 138, Birkhaeuser, Basel, 2001


   H. D. Mittelmann and F. Troeltzsch,
   ``Sufficient Optimality in a Parabolic Control Problem'',
     to appear in Proceedings of the first International Conference
     on Industrial and Applied Mathematics in Indian Subcontinent,
     P. Manchanda, A.H. Siddiqi, and M. Kocvara (eds),
     Kluwer, Dordrecht, The Netherlands

One additional script was added on 11-23-01: twod.mod


Characteristics of the problems
-------------------------------

Notation: RHS:   right-hand side of PDE
          BC:    boundary condition
          CC/SC: control/state constraints
          NOREG: no regularization (zero factor with integral over control)
          OP:    nature of optimization problem


All problems: parabolic PDE, heat equation, OP: NLP

Example 1: one space dimension, known exact solution, quartic mixed BC

Example 2_1: pure Neumann boundary control
 
Example 2_2: similar to Ex 2_1, but quadratic BC

Example 2_3: similar to Ex 2_2, but different SC 

Example 2_4: instationary Burgers equation, active CC

Example "400": same as Ex. 2_1, except for different lower bound in SC

Example p: similar to Ex. 1 but Hessian of Lagrangian not convex on
           the full space