Università della Svizzera italiana

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...

Università della Svizzera italiana

Multilevel minimization in trust-region framework : algorithmic and software developments

Kopaničáková, Alena ; Krause, Rolf (Dir.)

Thèse de doctorat : Università della Svizzera italiana, 2020 ; 2020INFO021.

The field of scientific computing is associated with the modeling of complex physical phenomena. The resulting numerical models are often described by differential equations, which, in many cases, can be related to non-convex minimization problems. Thus, after discretization, the solution of large-scale non-convex optimization problem is required. Various iterative solution strategies can be...