Opytimal - A Python/FEniCS framework to solve PDE-based optimal control problems considering multiple controls in 2D and 3D domains

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Abstract

Opytimal module is a Python/FEniCS framework to solve PDE-based optimization problems considering multiple controls. These problems can be defined in n-dimensional domains, for n ∈ {1, 2, 3}, and complemented with mixed boundary conditions. The controls can be distributed or boundary type and may contribute to the cost function via the H1 norm. We show examples of the solution of control problems governed by the Poisson, Heat, and Stokes equations.

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