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math.NA2026
A Proximal Primal-Dual Approach to Generalized JKO Schemes for Doubly Nonlinear Parabolic Equations
Luis M. Briceño-Arias, José A. Carrillo, Dante Kalise +2
Variational methods based on optimization strategies are proposed to numerically solve a large family of nonlinear partial differential equations. They are all particular instances…
math.NA2014
A Strongly Convergent Primal-Dual Method for Nonoverlapping Domain Decomposition
Hédy Attouch, Luis M. Briceño-Arias, Patrick L. Combettes
We propose a primal-dual parallel proximal splitting method for solving domain decomposition problems for partial differential equations. The problem is formulated via minimization…