Approximate Error Bounds on Solutions of Nonlinearly Preconditioned PDEs
From MaRDI portal
Publication:5005014
DOI10.1137/19M1285044zbMath1469.49028WikidataQ114074236 ScholiaQ114074236MaRDI QIDQ5005014
Publication date: 4 August 2021
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Newton-type methods (49M15) Numerical computation of solutions to systems of equations (65H10) Error bounds for boundary value problems involving PDEs (65N15) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
Related Items
A Nonlinear Elimination Preconditioned Inexact Newton Algorithm, Multilevel field-split preconditioners with domain decomposition for steady and unsteady flow problems, Overlapping multiplicative Schwarz preconditioning for linear and nonlinear systems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- On extremum properties of orthogonal quotients matrices
- Flame sheet starting estimates for counterflow diffusion flame problems
- On block diagonal and Schur complement preconditioning
- A 2D high-\(\beta\) hall MHD implicit nonlinear solver.
- Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
- Block diagonal dominance of matrices revisited: bounds for the norms of inverses and eigenvalue inclusion sets
- Composing Scalable Nonlinear Algebraic Solvers
- Nonlinear Preconditioning Techniques for Full-Space Lagrange--Newton Solution of PDE-Constrained Optimization Problems
- Convergence Analysis for the Multiplicative Schwarz Preconditioned Inexact Newton Algorithm
- Error bounds on block Gauss-Seidel solutions of coupled multiphysics problems
- Truly monolithic algebraic multigrid for fluid-structure interaction
- Newton Methods for Nonlinear Problems
- 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
- Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Pseudotransient Continuation and Differential-Algebraic Equations
- A Note on Adaptive Nonlinear Preconditioning Techniques
- Nonlinearly Preconditioned Inexact Newton Algorithms
- An Analysis of Approximate Nonlinear Elimination
- Iterative Solution Methods
- A Nonlinear Elimination Preconditioned Inexact Newton Method for Heterogeneous Hyperelasticity
- Field-Split Preconditioned Inexact Newton Algorithms
- On Convergence of the Additive Schwarz Preconditioned Inexact Newton Method
