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07/27/2023
DNN-MG: A Hybrid Neural Network/Finite Element Method with Applications to 3D Simulations of the Navier-Stokes Equations
We extend and analyze the deep neural network multigrid solver (DNN-MG) ...
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07/14/2023
Optimal Dirichlet Boundary Control by Fourier Neural Operators Applied to Nonlinear Optics
We present an approach for solving optimal Dirichlet boundary control pr...
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07/05/2023
Benchmark computations of dynamic poroelasticity
We present benchmark computations of dynamic poroelasticity modeling flu...
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03/12/2023
An energy-efficient GMRES-Multigrid solver for space-time finite element computation of dynamic poro- and thermoelasticity
We present families of space-time finite element methods (STFEMs) for a ...
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11/13/2022
Accurate simulation of THz generation with Finite-Element Time Domain methods
We investigate the accurate full broadband simulation of complex nonline...
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06/14/2021
Deep neural networks for geometric multigrid methods
We investigate scaling and efficiency of the deep neural network multigr...
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12/09/2020
Structure Preservation for the Deep Neural Network Multigrid Solver
The simulation of partial differential equations is a central subject of...
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08/26/2020
A neural network multigrid solver for the Navier-Stokes equations
We present a deep neural network multigrid solver (DNN-MG) that we devel...
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07/02/2019