\(\text{PIN}^{\mathcal L}\) : Preconditioned Inexact Newton with Learning Capability for Nonlinear System of Equations

DOI10.1137/22m1507942zbMath1524.76136OpenAlexW4367182736MaRDI QIDQ6039247

No author found.

Publication date: 4 May 2023

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/22m1507942

zbMATH Keywords

principal component analysisincompressible Navier-Stokes equationsinexact Newtonnonlinear system of algebraic equationslearning-based nonlinear preconditioning

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Parallel numerical computation (65Y05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (max. 100)

Overlapping multiplicative Schwarz preconditioning for linear and nonlinear systems

Cites Work

• Unnamed Item
• Unnamed Item
• Bridging proper orthogonal decomposition methods and augmented Newton-Krylov algorithms: an adaptive model order reduction for highly nonlinear mechanical problems
• Nonlinearly preconditioned semismooth Newton methods for variational inequality solution of two-phase flow in porous media
• An inexact Newton method for fully coupled solution of the Navier-Stokes equations with heat and mass transport
• Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
• A parallel adaptive nonlinear elimination preconditioned inexact Newton method for transonic full potential equation
• An adaptive nonlinear elimination preconditioned inexact Newton algorithm for highly local nonlinear multicomponent PDE systems
• A parallel nonlinear additive Schwarz preconditioned inexact Newton algorithm for incompressible Navier-Stokes equations
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• A nonlinear elimination preconditioned inexact Newton method for blood flow problems in human artery with stenosis
• Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
• A Nonlinearly Preconditioned Inexact Newton Algorithm for Steady State Lattice Boltzmann Equations
• Krylov-Subspace Recycling via the POD-Augmented Conjugate-Gradient Method
• Convergence Analysis for the Multiplicative Schwarz Preconditioned Inexact Newton Algorithm
• Nonlinear Preconditioning: How to Use a Nonlinear Schwarz Method to Precondition Newton's Method
• Nonlinear FETI-DP and BDDC Methods
• Inexact Newton Methods with Restricted Additive Schwarz Based Nonlinear Elimination for Problems with High Local Nonlinearity
• Active-Set Reduced-Space Methods with Nonlinear Elimination for Two-Phase Flow Problems in Porous Media
• Machine Learning for Fluid Mechanics
• Toward Extremely Scalable Nonlinear Domain Decomposition Methods for Elliptic Partial Differential Equations
• LAPACK Users' Guide
• Numerical Solution of the Stationary Navier--Stokes Equations Using a Multilevel Finite Element Method
• Construction of Solution Curves for Large Two-Dimensional Problems of Steady-State Flows of Incompressible Fluids
• A Note on Adaptive Nonlinear Preconditioning Techniques
• Nonlinearly Preconditioned Inexact Newton Algorithms
• Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics
• Choosing the Forcing Terms in an Inexact Newton Method
• Missing Point Estimation in Models Described by Proper Orthogonal Decomposition
• Summation pollution of principal component analysis and an improved algorithm for location sensitive data
• Iterative Methods and Preconditioners for Systems of Linear Equations
• A Multilayer Nonlinear Elimination Preconditioned Inexact Newton Method for Steady-State Incompressible Flow Problems in Three Dimensions
• Nonlinear Preconditioning Strategies for Two-Phase Flows in Porous Media Discretized by a Fully Implicit Discontinuous Galerkin Method
• Field-Split Preconditioned Inexact Newton Algorithms
• New Nonlinear FETI-DP Methods Based on a Partial Nonlinear Elimination of Variables
• Accelerating iterative solution methods using reduced‐order models as solution predictors
• Parallel Full Space SQP Lagrange--Newton--Krylov--Schwarz Algorithms for PDE-Constrained Optimization Problems

This page was built for publication: \(\text{PIN}^{\mathcal L}\)  : Preconditioned Inexact Newton with Learning Capability for Nonlinear System of Equations