## R.F. Kadyrov, E. Laitinen, and A.V. Lapin

## Using explicit schemes for control problems in continuous
casting process

## (Lobachevskii Journal of Mathematics, Vol.13, pp.25-38)

In this article, we solve an optimal control problem
of the cooling process in the
steel continuous casting, which
mathematical formulation is a coefficient identification
problem
for Stefan problem with prescribed convection. To minimize a
cost function
we use a gradient method, state and adjoint state
problem being approximated by
explicit mesh schemes with
variable time steps. Presented numerical results show
an
advantage in calculations time of this approach in comparison
with using implicit
mesh schemes.

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