Modified Newton methods for solving fully monolithic phase-field quasi-static brittle fracture propagation

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Phase-field modeling of fluid-driven dynamic cracking in porous media (2019, background): “However, in recent years, a lot of work has been done on quasi-monolithic (explicit convexification) [48] and fully monolithic methods [59, 60].”
On penalization in variational phase-field models of brittle fracture (2018, methodology): “[61], and Wick [62, 63] on the monolithic scheme, and by Farrell and Maurini [60] on over-relaxed accelerated staggered schemes hold a promise that efficient algorithmic handling of (i) is feasible.”