49 citations · 104 across the 12 of their papers we have counts for
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math.NA2020★ 10 cited
Structure Preservation for the Deep Neural Network Multigrid Solver
Nils Margenberg, Christian Lessig, Thomas Richter
The simulation of partial differential equations is a central subject of numerical analysis and an indispensable tool in science, engineering and related fields. Existing approache…
physics.comp-ph2020★ 49 cited
A neural network multigrid solver for the Navier-Stokes equations
Nils Margenberg, Dirk Hartmann, Christian Lessig +1
We present the deep neural network multigrid solver (DNN-MG) that we develop for the instationary Navier-Stokes equations. DNN-MG improves computational efficiency using a judiciou…