| Abstract: |
| In my talk I will present some results regarding the convergence of an alternate minimization scheme for a phase-field model of fracture. This algorithm is characterized by the lack of irreversibility constraints in the minimization of
the phase-field variable. From a computational stand point, the advantage of such a choice is in the efficiency of the
numerical implementation. Irreversibility is then recovered a posteriori by a simple pointwise truncation.
Exploiting a time discretization procedure, I will show, in continuous and discrete settings, the convergence of time-discrete solutions to a unilateral L2-gradient flow with respect to the phase-field variable. |
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