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 | 41 | 2022 |
Structure preservation for the deep neural network multigrid solver N Margenberg, C Lessig, T Richter arXiv preprint arXiv:2012.05290, 2020 | 9 | 2020 |
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 | 5 | 2023 |
Parallel time-stepping for fluid–structure interactions N Margenberg, T Richter Mathematical Modelling of Natural Phenomena 16, 20, 2021 | 5 | 2021 |
Deep neural networks for geometric multigrid methods N Margenberg, R Jendersie, T Richter, C Lessig arXiv preprint arXiv:2106.07687, 2021 | 4 | 2021 |
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 | 3 | 2024 |
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 | 2 | 2024 |
Benchmark computations of dynamic poroelasticity M Anselmann, M Bause, N Margenberg, P Shamko PAMM 23 (2), e202300096, 2023 | 1 | 2023 |
Accurate simulation of THz generation with finite-element time domain methods N Margenberg, FX Kärtner, M Bause Optics Express 31 (16), 25915-25932, 2023 | 1 | 2023 |
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 | | |