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math.OC2019
Optimal control of the principal coefficient in a scalar wave equation
Christian Clason, Karl Kunisch, Philip Trautmann
We consider optimal control of the scalar wave equation where the control enters as a coefficient in the principal part. Adding a total variation penalty allows showing existence o…
math.OC2019
Optimal finite element error estimates for an optimal control problem governed by the wave equation with controls of bounded variation
Sebastian Engel, Philip Trautmann, Boris Vexler
This work discusses the finite element discretization of an optimal control problem for the linear wave equation with time-dependent controls of bounded variation. The main focus l…