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README.md

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# Galerkin-Conditional-Gradient
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This module solves the control problem with Total Variation regularization
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min_{u\in BV(\Omega)} 1/2 |Ku-y0|^2 + alpha TV(u,\Omega)
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where K is the control-to-state operator associated with a Poisson-type PDE.
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It uses the Dinkelbach-FCGCG approach described in the paper "Sparse optimization for discretized PDE-constrained problems with total variation regularization".
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Important libraries:
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FEniCS (Dolfin) --version 2019.1.0 (https://fenicsproject.org/)
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Maxflow (http://pmneila.github.io/PyMaxflow/maxflow.html)

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