74 citations · 525 across the 47 of their papers we have counts for
8 papers · 1 filter
Space-time shape uncertainties in the forward and inverse problem of electrocardiography
Lia Gander, Rolf Krause, Michael Multerer +1
In electrocardiography, the "classic" inverse problem is the reconstruction of electric potentials at a surface enclosing the heart from remote recordings at the body surface and a…
PIEMAP: Personalized Inverse Eikonal Model from cardiac Electro-Anatomical Maps
Thomas Grandits, Simone Pezzuto, Jolijn M. Lubrecht +3
Electroanatomical mapping, a keystone diagnostic tool in cardiac electrophysiology studies, can provide high-density maps of the local electric properties of the tissue. It is ther…
Large scale simulation of pressure induced phase-field fracture propagation using Utopia
Patrick Zulian, Alena Kopaničáková, Maria Giuseppina Chiara Nestola +4
Non-linear phase field models are increasingly used for the simulation of fracture propagation models. The numerical simulation of fracture networks of realistic size requires the…
A Multilevel Approach to Training
Vanessa Braglia, Alena Kopaničáková, Rolf Krause
We propose a novel training method based on nonlinear multilevel minimization techniques, commonly used for solving discretized large scale partial differential equations. Our mult…
An experimental comparison of a space-time multigrid method with PFASST for a reaction-diffusion problem
Pietro Benedusi, Michael Minion, Rolf Krause
We consider two parallel-in-time approaches applied to a (reaction) diffusion problem, possibly non-linear. In particular, we consider PFASST (Parallel Full Approximation Scheme in…
Frontiers in Mortar Methods for Isogeometric Analysis
Christian Hesch, Ustim Khristenko, Rolf Krause +4
Complex geometries as common in industrial applications consist of multiple patches, if spline based parametrizations are used. The requirements for the generation of analysis-suit…
Multilevel Minimization for Deep Residual Networks
Lisa Gaedke-Merzhäuser, Alena Kopaničáková, Rolf Krause
We present a new multilevel minimization framework for the training of deep residual networks (ResNets), which has the potential to significantly reduce training time and effort. O…
Modelling of hydro-mechanical processes in heterogeneous fracture intersections using a fictitious domain method with variational transfer operators
Cyrill von Planta, Daniel Vogler, Xiaoqing Chen +3
Fluid flow in rough fractures and the coupling with the mechanical behaviour of the fractures pose great difficulties for numerical modeling approaches, due to complex fracture sur…