5 citations · 8 across the 9 of their papers we have counts for
24 papers
AnyDijkstra, an algorithm to compute shortest paths on images with anytime properties
Diego Ulisse Pizzagalli, Rolf Krause
Images conveniently capture the result of physical processes, representing rich source of information for data driven medicine, engineering, and science. The modeling of an image a…
Multigrid for two-sided fractional differential equations discretized by finite volume elements on graded meshes
Marco Donatelli, Rolf Krause, Mariarosa Mazza +1
It is known that the solution of a conservative steady-state two-sided fractional diffusion problem can exhibit singularities near the boundaries. As consequence of this, and due t…
Construction of Grid Operators for Multilevel Solvers: a Neural Network Approach
Claudio Tomasi, Rolf Krause
In this paper, we investigate the combination of multigrid methods and neural networks, starting from a Finite Element discretization of an elliptic PDE. Multigrid methods use inte…
Training of deep residual networks with stochastic MG/OPT
Cyrill von Planta, Alena Kopanicakova, Rolf Krause
We train deep residual networks with a stochastic variant of the nonlinear multigrid method MG/OPT. To build the multilevel hierarchy, we use the dynamical systems viewpoint specif…
Patch-Smoother and Multigrid for the Dual Formulation for Linear Elasticity
Gabriele Rovi, Rolf Krause
The dual formulation for linear elasticity, in contrast to the primal formulation, is not affected by locking, as it is based on the stresses as main unknowns. Thus it is quite att…
Space-time multilevel quadrature methods and their application for cardiac electrophysiology
Seif Ben Bader, Helmut Harbrecht, Rolf Krause +3
We present a novel approach which aims at high-performance uncertainty quantification for cardiac electrophysiology simulations. Employing the monodomain equation to model the tran…