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math.OC2025
Error estimates for a multiobjective optimal control of a pointwise tracking problem
Francisco Fuica, Stefan Volkwein
We analyze a pointwise tracking multiobjective optimal control problem subject to the Poisson problem and bilateral control constraints. To approximate Pareto optimal points and th…
math.OC2025
Adaptive finite element method for an unregularized semilinear optimal control problem
Francisco Fuica, Nicolai Jork
We devise an a posteriori error estimator for an affine optimal control problem subject to a semilinear elliptic PDE and control constraints. To approximate the problem, we conside…
math.NA2025
A space-time finite element method for parabolic obstacle problems
José Joaquín Carvajal, Davood Damircheli, Thomas Führer +2
We propose and analyze a general framework for space-time finite element methods that is based on least-squares finite element methods for solving a first-order reformulation of th…