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math.OC2016
Optimal control of elliptic surface PDEs with pointwise bounds on the state
Ahmad Ahmad Ali, Michael Hinze, Heiko Kröner
We consider a linear-quadratic optimization problem with pointwise bounds on the state for which the constraint is given by the Laplace-Beltrami equation (to have uniqueness we add…
math.OC2016
Multilevel Monte Carlo analysis for optimal control of elliptic PDEs with random coefficients
Ahmad Ahmad Ali, Elisabeth Ullmann, Michael Hinze
This work is motivated by the need to study the impact of data uncertainties and material imperfections on the solution to optimal control problems constrained by partial different…