21 citations · 23 across the 12 of their papers we have counts for
17 papers
Domain splitting with localized implicit prediction for wave equations
Tim Buchholz, Roland Maier
We propose and analyze a non-iterative domain decomposition time integrator for the linear acoustic wave equation. The method is based on an overlapping decomposition in space and…
A localized orthogonal decomposition strategy for hybrid discontinuous Galerkin methods
Peipei Lu, Roland Maier, Andreas Rupp
We formulate and analyze a multiscale method for an elliptic problem with an oscillatory coefficient based on a skeletal (hybrid) formulation. More precisely, we employ hybrid disc…
Localized implicit time stepping for the wave equation
Dietmar Gallistl, Roland Maier
This work proposes a discretization of the acoustic wave equation with possibly oscillatory coefficients based on a superposition of discrete solutions to spatially localized subpr…
An improved high-order method for elliptic multiscale problems
Zhaonan Dong, Moritz Hauck, Roland Maier
In this work, we propose a high-order multiscale method for an elliptic model problem with rough and possibly highly oscillatory coefficients. Convergence rates of higher order are…
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…
Semi-explicit integration of second order for weakly coupled poroelasticity
R. Altmann, R. Maier, B. Unger
We introduce a semi-explicit time-stepping scheme of second order for linear poroelasticity satisfying a weak coupling condition. Here, semi-explicit means that the system, which n…