74 citations · 525 across the 47 of their papers we have counts for
4 papers · 1 filter
A Multigrid Method for a Nitsche-based Extended Finite Element Method
Hardik Kothari, Rolf Krause
We present a tailored multigrid method for linear problems stemming from a Nitsche-based extended finite element method (XFEM). Our multigrid method is robust with respect to highl…
Space-time multilevel Monte Carlo methods and their application to cardiac electrophysiology
Seif Ben Bader, Pietro Benedusi, Alessio Quaglino +2
We present a novel approach aimed at high-performance uncertainty quantification for time-dependent problems governed by partial differential equations. In particular, we consider…
Recursive multilevel trust region method with application to fully monolithic phase-field models of brittle fracture
Alena Kopaničáková, Rolf Krause
The simulation of crack initiation and propagation in an elastic material is difficult, as crack paths with complex topologies have to be resolved. Phase-field approach allows to s…
3D non-conforming mesh model for flow in fractured porous media using Lagrange multipliers
Philipp Schädle, Patrick Zulian, Daniel Vogler +5
This work presents a modeling approach for single-phase flow in 3D fractured porous media with non-conforming meshes. To this end, a Lagrange multiplier method is combined with a p…