A Neural-Operator Preconditioned Newton Method for Accelerated Nonlinear Solvers
Fuente:
arXiv
Saved in:
| Main Authors: | Lee, Youngkyu, Liu, Shanqing, Darbon, Jerome, Karniadakis, George Em |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
A Hybrid Iterative Neural Solver Based on Spectral Analysis for Parametric PDEs
by: Cui, Chen, et al.
Published: (2024)
by: Cui, Chen, et al.
Published: (2024)
Neural Preconditioning via Krylov Subspace Geometry
by: Dimola, Nunzio, et al.
Published: (2025)
by: Dimola, Nunzio, et al.
Published: (2025)
Neural Approximate Inverse Preconditioners
by: Xu, Tianshi, et al.
Published: (2025)
by: Xu, Tianshi, et al.
Published: (2025)
Learning a generalized multiscale prolongation operator
by: Liu, Yucheng, et al.
Published: (2024)
by: Liu, Yucheng, et al.
Published: (2024)
Two-level overlapping additive Schwarz preconditioner for training scientific machine learning applications
by: Lee, Youngkyu, et al.
Published: (2024)
by: Lee, Youngkyu, et al.
Published: (2024)
Preconditioned Low-Rank Riemannian Optimization for Symmetric Positive Definite Linear Matrix Equations
by: Bioli, Ivan, et al.
Published: (2024)
by: Bioli, Ivan, et al.
Published: (2024)
SVD-Preconditioned Gradient Descent Method for Solving Nonlinear Least Squares Problems
by: Chang, Zhipeng, et al.
Published: (2026)
by: Chang, Zhipeng, et al.
Published: (2026)
Low-Rank Solvers for Energy-Conserving Hamiltonian Boundary Value Methods
by: Durastante, Fabio, et al.
Published: (2025)
by: Durastante, Fabio, et al.
Published: (2025)
Monolithic Multi-level Overlapping Schwarz Solvers for Fluid Problems
by: Köhler, Stephan, et al.
Published: (2025)
by: Köhler, Stephan, et al.
Published: (2025)
Hierarchical Coarse Basis by Randomised SVD: the Helmholtz Problem
by: Gander, Martin J., et al.
Published: (2025)
by: Gander, Martin J., et al.
Published: (2025)
Leveraging Operator Learning to Accelerate Convergence of the Preconditioned Conjugate Gradient Method
by: Kopaničáková, Alena, et al.
Published: (2025)
by: Kopaničáková, Alena, et al.
Published: (2025)
Preconditioning via Randomized Range Deflation (RandRAND)
by: Balabanov, Oleg, et al.
Published: (2025)
by: Balabanov, Oleg, et al.
Published: (2025)
An Isogeometric Tearing and Interconnecting method for conforming discretizations of the biharmonic problem
by: Takacs, Stefan
Published: (2025)
by: Takacs, Stefan
Published: (2025)
Preconditioned normal equations for solving discretised partial differential equations
by: Lazzarino, Lorenzo, et al.
Published: (2025)
by: Lazzarino, Lorenzo, et al.
Published: (2025)
On efficient block Krylov-solvers for $\mathcal H^2$-matrices
by: Christophersen, Sven
Published: (2025)
by: Christophersen, Sven
Published: (2025)
Four-Level Overlapping Schwarz as Multigrid Coarse Solver for Incompressible Non-Newtonian Flow in Complex Geometries
by: Köhler, Stephan, et al.
Published: (2026)
by: Köhler, Stephan, et al.
Published: (2026)
Rejuvenating AMLI-Cycle: From Chebyshev Polynomials to Momentum Acceleration
by: Niu, Chunyan, et al.
Published: (2020)
by: Niu, Chunyan, et al.
Published: (2020)
Nonlinear Two-Level Schwarz Methods: A Parallel Implementation in FROSch
by: Heinlein, Alexander, et al.
Published: (2024)
by: Heinlein, Alexander, et al.
Published: (2024)
Parallel Energy-Minimization Prolongation for Algebraic Multigrid
by: Janna, Carlo, et al.
Published: (2022)
by: Janna, Carlo, et al.
Published: (2022)
Riemannian Acceleration with Preconditioning for symmetric eigenvalue problems
by: Shao, Nian, et al.
Published: (2023)
by: Shao, Nian, et al.
Published: (2023)
On Edge Multiscale Space based Hybrid Schwarz Preconditioner for Helmholtz Problems with Large Wavenumbers
by: Fu, Shubin, et al.
Published: (2024)
by: Fu, Shubin, et al.
Published: (2024)
A note on indefinite matrix splitting and preconditioning
by: Wathen, Andy
Published: (2024)
by: Wathen, Andy
Published: (2024)
Algebraic Multigrid with Overlapping Schwarz Smoothers and Local Spectral Coarse Grids for Least Squares Problems
by: Southworth, Ben S., et al.
Published: (2026)
by: Southworth, Ben S., et al.
Published: (2026)
EPIC: a provable accelerated Eigensolver based on Preconditioning and Implicit Convexity
by: Shao, Nian, et al.
Published: (2024)
by: Shao, Nian, et al.
Published: (2024)
New Analysis of Overlapping Schwarz Methods for Vector Field Problems in Three Dimensions with Generally Shaped Domains
by: Oh, Duk-Soon, et al.
Published: (2024)
by: Oh, Duk-Soon, et al.
Published: (2024)
A Paired Autoencoder Framework for Inverse Problems via Bayes Risk Minimization
by: Hart, Emma, et al.
Published: (2025)
by: Hart, Emma, et al.
Published: (2025)
Parallel-in-Time Iterative Methods for Pricing American Options
by: Gu, Xian-Ming, et al.
Published: (2024)
by: Gu, Xian-Ming, et al.
Published: (2024)
Sparse inverse Cholesky factorization of dense kernel matrices by greedy conditional selection
by: Huan, Stephen, et al.
Published: (2023)
by: Huan, Stephen, et al.
Published: (2023)
Preconditioning techniques for generalized Sylvester matrix equations
by: Voet, Yannis
Published: (2023)
by: Voet, Yannis
Published: (2023)
Preconditioning a Fluid--Structure Interaction Problem Using Monolithic and Block Domain Decomposition Methods for the Fluid
by: Klawonn, Axel, et al.
Published: (2025)
by: Klawonn, Axel, et al.
Published: (2025)
Enhancing training of physics-informed neural networks using domain-decomposition based preconditioning strategies
by: Kopaničáková, Alena, et al.
Published: (2023)
by: Kopaničáková, Alena, et al.
Published: (2023)
Data-Driven Discovery of Sign-Indefinite Artificial Viscosity for Linear Convection -- A Space-Time Reconvolution Perspective
by: Neelan, Arun Govind
Published: (2026)
by: Neelan, Arun Govind
Published: (2026)
Local Solvers for High-Order Patch Smoothers via p-Multigrid
by: Wichrowski, Michał
Published: (2025)
by: Wichrowski, Michał
Published: (2025)
A Reverse Augmented Constraint preconditioner for Lagrange multiplier methods in contact mechanics
by: Franceschini, Andrea, et al.
Published: (2021)
by: Franceschini, Andrea, et al.
Published: (2021)
Chebyshev smoothing with adaptive block-FSAI preconditioners for the multilevel solution of higher-order problems
by: Recio, Pablo Jiménez, et al.
Published: (2025)
by: Recio, Pablo Jiménez, et al.
Published: (2025)
Generalized Optimal AMG Convergence Theory for Nonsymmetric and Indefinite Problems
by: Ali, Ahsan, et al.
Published: (2024)
by: Ali, Ahsan, et al.
Published: (2024)
Generalized Optimal AMG Convergence Theory for Stokes Equations Using Smooth Aggregation and Vanka Relaxation Strategies
by: Ali, Ahsan, et al.
Published: (2025)
by: Ali, Ahsan, et al.
Published: (2025)
Auxiliary space theory for the analysis of iterative methods for semidefinite linear systems
by: Park, Jongho, et al.
Published: (2025)
by: Park, Jongho, et al.
Published: (2025)
Optimal Polynomial Smoothers for Parallel AMG
by: D'Ambra, Pasqua, et al.
Published: (2024)
by: D'Ambra, Pasqua, et al.
Published: (2024)
Variable Projected Augmented Lagrangian Methods for Generalized Lasso Problems
by: Aleotti, Stefano, et al.
Published: (2025)
by: Aleotti, Stefano, et al.
Published: (2025)
Similar Items
-
A Hybrid Iterative Neural Solver Based on Spectral Analysis for Parametric PDEs
by: Cui, Chen, et al.
Published: (2024) -
Neural Preconditioning via Krylov Subspace Geometry
by: Dimola, Nunzio, et al.
Published: (2025) -
Neural Approximate Inverse Preconditioners
by: Xu, Tianshi, et al.
Published: (2025) -
Learning a generalized multiscale prolongation operator
by: Liu, Yucheng, et al.
Published: (2024) -
Two-level overlapping additive Schwarz preconditioner for training scientific machine learning applications
by: Lee, Youngkyu, et al.
Published: (2024)