24 citations · 28 across the 4 of their papers we have counts for
4 papers
On the use of hybrid coarse-level models in multilevel minimization methods
Alena Kopaničáková
Solving large-scale nonlinear minimization problems is computationally demanding. Nonlinear multilevel minimization (NMM) methods explore the structure of the underlying minimizati…
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…
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-…
A Multigrid Preconditioner for Jacobian-free Newton-Krylov Methods
Hardik Kothari, Alena Kopaničáková, Rolf Krause
In this work, we propose a multigrid preconditioner for Jacobian-free Newton-Krylov (JFNK) methods. Our multigrid method does not require knowledge of the Jacobian at any level of…