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Learning optimal multigrid smoothers via neural networks
v1v2 (latest)

Learning optimal multigrid smoothers via neural networks

SIAM Journal on Scientific Computing (SISC), 2021
24 February 2021
Ru Huang
Ruipeng Li
Yuanzhe Xi
    AI4CE
ArXiv (abs)PDFHTML

Papers citing "Learning optimal multigrid smoothers via neural networks"

16 / 16 papers shown
A Greedy PDE Router for Blending Neural Operators and Classical Methods
A Greedy PDE Router for Blending Neural Operators and Classical Methods
Sahana Rayan
Yash Patel
Ambuj Tewari
169
0
0
29 Sep 2025
Leveraging Operator Learning to Accelerate Convergence of the Preconditioned Conjugate Gradient Method
Leveraging Operator Learning to Accelerate Convergence of the Preconditioned Conjugate Gradient Method
Alena Kopanicáková
Youngkyu Lee
George Karniadakis
146
4
0
31 Jul 2025
Graph Lineages and Skeletal Graph Products
Graph Lineages and Skeletal Graph Products
Eric Mjolsness
Cory Braker Scott
AI4CE
157
0
0
31 Jul 2025
Towards Automated Algebraic Multigrid Preconditioner Design Using
  Genetic Programming for Large-Scale Laser Beam Welding Simulations
Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding SimulationsPlatform for Advanced Scientific Computing Conference (PASC), 2024
Dinesh Parthasarathy
Tommaso Bevilacqua
M. Lanser
A. Klawonn
Harald Köstler
AI4CE
192
0
0
11 Dec 2024
Spectral-Refiner: Accurate Fine-Tuning of Spatiotemporal Fourier Neural Operator for Turbulent Flows
Spectral-Refiner: Accurate Fine-Tuning of Spatiotemporal Fourier Neural Operator for Turbulent Flows
Shuhao Cao
Francesco Brarda
Ruipeng Li
Yuanzhe Xi
387
0
0
27 May 2024
Mitigating distribution shift in machine learning-augmented hybrid simulation
Mitigating distribution shift in machine learning-augmented hybrid simulationSIAM Journal on Scientific Computing (SISC), 2024
Jiaxi Zhao
Qianxiao Li
267
4
0
17 Jan 2024
A Neural-preconditioned Poisson Solver for Mixed Dirichlet and Neumann Boundary Conditions
A Neural-preconditioned Poisson Solver for Mixed Dirichlet and Neumann Boundary ConditionsInternational Conference on Machine Learning (ICML), 2023
Kai Weixian Lan
E. Gueidon
Ayano Kaneda
Julian Panetta
Joseph Teran
AI4CE
441
3
0
29 Sep 2023
Reducing operator complexity in Algebraic Multigrid with Machine
  Learning Approaches
Reducing operator complexity in Algebraic Multigrid with Machine Learning Approaches
Rung-Tzung Huang
Kai Chang
Huan He
Ruipeng Li
Yuanzhe Xi
892
3
0
15 Jul 2023
Gauge-equivariant pooling layers for preconditioners in lattice QCD
Gauge-equivariant pooling layers for preconditioners in lattice QCD
C. Lehner
T. Wettig
AI4CE
163
10
0
20 Apr 2023
Parareal with a physics-informed neural network as coarse propagator
Parareal with a physics-informed neural network as coarse propagatorEuropean Conference on Parallel Processing (Euro-Par), 2023
A. Ibrahim
Sebastian Götschel
Daniel Ruprecht
228
12
0
07 Mar 2023
Gauge-equivariant neural networks as preconditioners in lattice QCD
Gauge-equivariant neural networks as preconditioners in lattice QCD
C. Lehner
T. Wettig
AI4CE
185
14
0
10 Feb 2023
Algorithmically Designed Artificial Neural Networks (ADANNs): Higher
  order deep operator learning for parametric partial differential equations
Algorithmically Designed Artificial Neural Networks (ADANNs): Higher order deep operator learning for parametric partial differential equations
Arnulf Jentzen
Adrian Riekert
Philippe von Wurstemberger
343
1
0
07 Feb 2023
Learning Relaxation for Multigrid
Learning Relaxation for Multigrid
Dmitry Kuznichov
AI4CE
151
1
0
25 Jul 2022
Optimized sparse approximate inverse smoothers for solving Laplacian
  linear systems
Optimized sparse approximate inverse smoothers for solving Laplacian linear systemsLinear Algebra and its Applications (LAA), 2022
Yunhui He
Jun Liu
Xiang Wang
168
3
0
11 Jun 2022
Evolving Generalizable Multigrid-Based Helmholtz Preconditioners with
  Grammar-Guided Genetic Programming
Evolving Generalizable Multigrid-Based Helmholtz Preconditioners with Grammar-Guided Genetic ProgrammingAnnual Conference on Genetic and Evolutionary Computation (GECCO), 2022
J. Schmitt
Harald Kostler
AI4CE
82
1
0
27 Apr 2022
Distributed Multigrid Neural Solvers on Megavoxel Domains
Distributed Multigrid Neural Solvers on Megavoxel DomainsInternational Conference for High Performance Computing, Networking, Storage and Analysis (SC), 2021
Aditya Balu
Sergio Botelho
Biswajit Khara
Vinay Rao
Chinmay Hegde
Soumik Sarkar
Santi S. Adavani
A. Krishnamurthy
Baskar Ganapathysubramanian
AI4CE
213
11
0
29 Apr 2021
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