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Automating the formulation and resolution of convex variational problems: applications from image processing to computational mechanics

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Figure

Fig. 1. Results of the obstacle problem for h = 1/400
Fig. 2. Results of the Cheeger problem for various discretizations on the unit square: continuous Galerkin (CG) and discontinuous Galerkin (DG) of degrees k = 0, 1 or 2.
Fig. 3. Convergence results on the Cheeger problem
Fig. 5. Generalized Cheeger sets of a star-shaped domain using different norms
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