Inga Berre

Hybrid implicit–explicit XFEM simulation of injection-induced seismicity: resolving multi-scale rupture nucleation and dynamics

Abstract. This study introduces a new hybrid implicit–explicit (IMEX) time-integration method for simulating injection-induced fault reactivation within a fully coupled hydromechanical extended finite element (XFEM) framework. Modeling these systems is inherently difficult becaus...

A posteriori error estimates for mixed-dimensional Darcy flow using non-matching grids

Abstract In this article, we extend the a posteriori error estimates for hierarchical mixed-dimensional elliptic equations developed in [Varela et al., J. Numer. Math. , 31 (2023), pp. 247–280] to the setting of non-matching mixed-dimensional grids. The extension is achieved by i...