  In this work, phase-field modeling of hydraulic fractures in porous media is
extended towards a global-local approach. Therein, the failure behavior is
solely analyzed in a (small) local domain. In the surrounding medium, a
simplified and linearized system of equations is solved. Both domains are
coupled by Robin-type interface conditions. The fracture(s) inside the local
domain are allowed to propagate and consequently both subdomains change within
time. Here, a predictor-corrector strategy is adopted in which the local domain
is dynamically adjusted to the current fracture pattern. The resulting
framework is algorithmically described in detail and substantiated with some
numerical tests.
