21 citations · 23 across the 12 of their papers we have counts for
5 papers · 1 filter
A space-time multiscale method for parabolic problems
Per Ljung, Roland Maier, Axel Målqvist
We present a space-time multiscale method for a parabolic model problem with an underlying coefficient that may be highly oscillatory with respect to both the spatial and the tempo…
Adaptive Refinement for Unstructured T-Splines with Linear Complexity
Roland Maier, Philipp Morgenstern, Thomas Takacs
We present an adaptive refinement algorithm for T-splines on unstructured 2D meshes. While for structured 2D meshes, one can refine elements alternatingly in horizontal and vertica…
Operator Compression with Deep Neural Networks
Fabian Kröpfl, Roland Maier, Daniel Peterseim
This paper studies the compression of partial differential operators using neural networks. We consider a family of operators, parameterized by a potentially high-dimensional space…
A decoupling and linearizing discretization for weakly coupled poroelasticity with nonlinear permeability
Robert Altmann, Roland Maier
We analyze a semi-explicit time discretization scheme of first order for poro\-elasticity with nonlinear permeability provided that the elasticity model and the flow equation are o…
Fast mass lumped multiscale wave propagation modelling
Sjoerd Geevers, Roland Maier
In this paper, we investigate the use of a mass lumped fully explicit time stepping scheme for the discretisation of the wave equation with underlying material parameters that vary…