21 citations · 23 across the 12 of their papers we have counts for
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math.NA2022
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…
math.NA2022
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…
math.NA2022★ 1 cited
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…