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 H 1 norm. We show examples of the solution of control problems governed by the Poisson, Heat, and Stokes equations.

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