An inexact Newton method with inner preconditioned CG for non-uniformly monotone elliptic problems

An inexact Newton method with inner preconditioned CG for non-uniformly monotone elliptic problems

The present paper introduces an inexact Newton method, coupled with a preconditioned conjugate gradient method in inner iterations, for elliptic operators with non-uniformly monotone upper and lower bounds. Convergence is proved in Banach space level. The results cover real-life classes of elliptic...

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Bibliographic Details
Main Author: Benjámin Borsos
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2021-07-01
Series:Mathematical Modelling and Analysis
Subjects:
inexact newton iteration
conjugate gradients
nonlinear elliptic problems
iterative methods
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/12899

Internet

https://journals.vgtu.lt/index.php/MMA/article/view/12899

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