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In this paper, we discuss an -discontinuous Galerkin finite
element method (-DGFEM) for the laser surface hardening of
steel, which is a constrained optimal control problem governed by a
system of differential equations, consisting of an ordinary
differential equation for austenite formation and a semi-linear
parabolic differential equation for temperature evolution. The space
discretization of the state variable is done using an -DGFEM,
time and control discretizations are based on a discontinuous
Galerkin...
In this paper, we discuss an -discontinuous Galerkin finite
element method (-DGFEM) for the laser surface hardening of
steel, which is a constrained optimal control problem governed by a
system of differential equations, consisting of an ordinary
differential equation for austenite formation and a semi-linear
parabolic differential equation for temperature evolution. The space
discretization of the state variable is done using an -DGFEM,
time and control discretizations are based on a discontinuous
Galerkin...
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