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math.OC2022
Nonlinear Schwarz preconditioning for nonlinear optimization problems with bound constraints
Hardik Kothari, Alena Kopaničáková, Rolf Krause
We propose a nonlinear additive Schwarz method for solving nonlinear optimization problems with bound constraints. Our method is used as a "right-preconditioner" for solving the fi…
math.NA2022★ 1 cited
Nonlinear Schwarz preconditioning for Quasi-Newton methods
Hardik Kothari
We propose the nonlinear restricted additive Schwarz (RAS) preconditioning strategy to improve the convergence speed of limited memory quasi-Newton (QN) methods. We consider both "…
math.NA2022★ 24 cited
Nonlinear Field-split Preconditioners for Solving Monolithic Phase-field Models of Brittle Fracture
Alena Kopaničáková, Hardik Kothari, Rolf Krause
One of the state-of-the-art strategies for predicting crack propagation, nucleation, and interaction is the phase-field approach. Despite its reliability and robustness, the phase-…