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A penalized formulation for problems with gradient constraints
Lucas Curci
Source abstract
We extend the penalized formulation for the elastoplastic torsion presented in [FF. Chouly, T. Gustafsson, and P. Hild, IMA J. Numer. Anal. 46 (2026), 2377-2401], to a more general setting that allows to recover at the limit a Monge-Kantorovich mass transport problem. We prove convergence results when the penalty and physical parameters become small. We complete these results with some numerical experiments.
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