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

    Benjámin Borsos   Affiliation

Abstract

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 problems. Numerical experiments reinforce the convergence results.

Keyword : inexact Newton iteration, conjugate gradients, nonlinear elliptic problems, iterative methods

How to Cite
Borsos, B. (2021). An inexact Newton method with inner preconditioned CG for non-uniformly monotone elliptic problems. Mathematical Modelling and Analysis, 26(3), 383-394. https://doi.org/10.3846/mma.2021.12899
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Jul 13, 2021
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