Abstract:
Non-smooth problems from the Calculus of Variations, based on the 
norm are considered. The problems consist of the minimization of the distance between a
given signal, typically with jumps or noise, and a smooth approximation, together with a smoothing factor. The problems are solved using either
over-relaxation, augmented Lagrangian methods or a combination of both.
Applications to free surface flows and image denoising are presented.
This is a joint work with Drs. A. Caboussat and R. Glowinski.
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