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Nils Margenberg
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A neural network multigrid solver for the Navier-Stokes equations
N Margenberg, D Hartmann, C Lessig, T Richter
Journal of Computational Physics 460, 110983, 2022
412022
Structure preservation for the deep neural network multigrid solver
N Margenberg, C Lessig, T Richter
arXiv preprint arXiv:2012.05290, 2020
92020
An energy-efficient GMRES-Multigrid solver for space-time finite element computation of dynamic poro-and thermoelasticity
M Anselmann, M Bause, N Margenberg, P Shamko
arXiv preprint arXiv:2303.06742, 2023
52023
Parallel time-stepping for fluid–structure interactions
N Margenberg, T Richter
Mathematical Modelling of Natural Phenomena 16, 20, 2021
52021
Deep neural networks for geometric multigrid methods
N Margenberg, R Jendersie, T Richter, C Lessig
arXiv preprint arXiv:2106.07687, 2021
42021
DNN-MG: A hybrid neural network/finite element method with applications to 3D simulations of the Navier–Stokes equations
N Margenberg, R Jendersie, C Lessig, T Richter
Computer Methods in Applied Mechanics and Engineering 420, 116692, 2024
32024
Optimal Dirichlet boundary control by Fourier neural operators applied to nonlinear optics
N Margenberg, FX Kärtner, M Bause
Journal of Computational Physics 499, 112725, 2024
22024
Benchmark computations of dynamic poroelasticity
M Anselmann, M Bause, N Margenberg, P Shamko
PAMM 23 (2), e202300096, 2023
12023
Accurate simulation of THz generation with finite-element time domain methods
N Margenberg, FX Kärtner, M Bause
Optics Express 31 (16), 25915-25932, 2023
12023
An energy-efficient GMRES–multigrid solver for space-time finite element computation of dynamic poroelasticity
M Anselmann, M Bause, N Margenberg, P Shamko
Computational Mechanics, 1-24, 2024
2024
Ultrabroadband Simulation of Nonlinear Optical Processes with Finite Element Time Domain Methods
N Margenberg, FX Kärtner, M Bause
CLEO: Applications and Technology, JTu3B. 3, 2022
2022
The neural network multigrid solver for the Navier-Stokes equations and its application to 3D simulation
N Margenberg, C Lessig, T Richter
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Articles 1–12