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Numerical Methods for Non-Smooth Optimization Problems
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Papers : [here] ,
Talks : [here]
- Numerical methods for non-smooth eigenvalue problems and non-smooth
problems from the Calculus of variations.
- Numerical methods for eigenvalues problems arising in the determination of
the best constants in Strauss & Nirenberg inequalities, as well as Korn
inequalities, in the scalar and vectorial cases. Application to Bingham flows.
- Augmented Lagrangian methods for determination of load capacity ratio in
stress analysis. Convergence of minimizing sequences in BV.
- Augmented Lagrangian methods and over-relaxation methods for smoothing and
denoising of signals. Application to free surface flows and image denoising with
PDE-based techniques.
- Determination of the best constants in Sobolev injections.
- Numerical simulation of non-smooth advection-diffusion problems.
Application to sand mechanics and water deposition.
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