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Large scale simulation of pressure induced phase-field fracture propagation using Utopia

Zulian, Patrick ; Kopaničáková, Alena ; Nestola, Maria Giuseppina Chiara ; Fink, Andreas ; Fadel, Nur Aiman ; VandeVondele, Joost ; Krause, Rolf

In: CCF transactions on high performance computing, 2021, no. 3, p. 407–426

Non-linear phase field models are increasingly used for the simulation of fracture propagation problems. The numerical simulation of fracture networks of realistic size requires the efficient parallel solution of large coupled non-linear systems. Although in principle efficient iterative multi-level methods for these types of problems are available, they are not widely used in practice due to...

Path-following gradient-based decomposition algorithms for separable convex optimization

Tran Dinh, Quoc ; Necoara, Ion ; Diehl, Moritz

In: Journal of Global Optimization, 2014, vol. 59, no. 1, p. 59-80