On Convergence of the Additive Schwarz Preconditioned Inexact Newton Method

DOI10.1137/040611653zbMath1111.65046OpenAlexW1993251277MaRDI QIDQ5470906

Heng-Bin An

Publication date: 2 June 2006

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/039c3b16e5c77d1d8c9dc188ffd9ad297448e1df

zbMATH Keywords

inexact Newton methodsnonlinear systemslocal convergencenonlinear preconditioningadditive Schwarz preconditioned inexact Newton method

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Related Items

Scalable parallel elastic-plastic finite element analysis using a quasi-Newton method with a balancing domain decomposition preconditioner, A uniparametric LU-SGS method for systems of nonlinear equations, The inexact-Newton via GMRES subspace method without line search technique for solving symmetric nonlinear equations, A choice of forcing terms in inexact Newton method, A Nonlinear Elimination Preconditioned Inexact Newton Algorithm, Overlapping multiplicative Schwarz preconditioning for linear and nonlinear systems, Inverse functions of polynomials and its applications to initialize the search of solutions of polynomials and polynomial systems, Unnamed Item, The Gauss-Newton Methods via Conjugate Gradient Path without Line Search Technique for Solving Nonlinear Systems, Domain Decomposition Preconditioners for the System Generated by Discontinuous Galerkin Discretization of 2D-3T Heat Conduction Equations, On choosing a nonlinear initial iterate for solving the 2-D 3-T heat conduction equations, A multiplicative Schwarz method and its application to nonlinear acoustic-structure interaction, Convergence Analysis for the Multiplicative Schwarz Preconditioned Inexact Newton Algorithm, Approximate Error Bounds on Solutions of Nonlinearly Preconditioned PDEs, Field-Split Preconditioned Inexact Newton Algorithms

Uses Software

• NITSOL