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20162023
most citedA neural network multigrid solver for the Navier-Stokes equations

49 citations · 324 across the 34 of their papers we have counts for

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Showing 2023Show all

6 papers · 1 filter

math.NA2023★ 1 cited

Quasi-Random Discrete Ordinates Method to Radiative Transfer Equation with Linear Anisotropic Scattering

Pedro H. A. Konzen, Leonardo F. Guidi, Thomas Richter

The quasi-random discrete ordinates method (QRDOM) is here proposed for the approximation of transport problems. Its central idea is to explore a quasi Monte Carlo integration with…

math.NA2023★ 7 cited

Quasi-Random Discrete Ordinates Method for Transport Problems

Pedro H. A. Konzen, Leonardo F. Guidi, Thomas Richter

The quasi-random discrete ordinates method (QRDOM) is here proposed for the approximation of transport problems. Its central idea is to explore a quasi Monte Carlo integration with…

math.NA2023★ 19 cited

DNN-MG: A Hybrid Neural Network/Finite Element Method with Applications to 3D Simulations of the Navier-Stokes Equations

Nils Margenberg, Robert Jendersie, Christian Lessig +1

We extend and analyze the deep neural network multigrid solver (DNN-MG) for the Navier-Stokes equations in three dimensions. The idea of the method is to augment a finite element s…

math.NA2023

A monolithic space-time temporal multirate finite element framework for interface and volume coupled problems

Julian Roth, Martyna Soszyńska, Thomas Richter +1

In this work, we propose and computationally investigate a monolithic space-time multirate scheme for coupled problems. The novelty lies in the monolithic formulation of the multir…

physics.flu-dyn2023★ 5 cited

Adjacency-based, Non-intrusive Reduced-order Modeling for Fluid-Structure Interactions

Leonidas Gkimisis, Thomas Richter, Peter Benner

Non-intrusive model reduction is a promising solution to system dynamics prediction, especially in cases where data are collected from experimental campaigns or proprietary softwar…

physics.flu-dyn2023★ 8 cited

Adjacency-based, non-intrusive model reduction for Vortex-Induced Vibrations

Leonidas Gkimisis, Thomas Richter, Peter Benner

Vortex-induced vibrations (VIV) pose computationally expensive problems of high practical interest to several engineering fields. In this work we develop a non-intrusive, reduced-o…