5 papers · 1 filter
Neural network approximation of coarse-scale surrogates in numerical homogenization
Fabian Kröpfl, Roland Maier, Daniel Peterseim
Coarse-scale surrogate models in the context of numerical homogenization of linear elliptic problems with arbitrary rough diffusion coefficients rely on the efficient solution of f…
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…
A high-order approach to elliptic multiscale problems with general unstructured coefficients
Roland Maier
We propose a multiscale approach for an elliptic multiscale setting with general unstructured diffusion coefficients that is able to achieve high-order convergence rates with respe…
Semi-explicit discretization schemes for weakly-coupled elliptic-parabolic problems
Robert Altmann, Roland Maier, Benjamin Unger
We prove first-order convergence of the semi-explicit Euler scheme combined with a finite element discretization in space for elliptic-parabolic problems which are weakly coupled.…