Characterizing Mesh Independent Quadratic Convergence of Newton's Method for a Class of Elliptic Problems

DOI10.1137/100817589zbMath1252.65189OpenAlexW1966537025MaRDI QIDQ2902719

János Karátson

Publication date: 22 August 2012

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

Full work available at URL: https://doi.org/10.1137/100817589

zbMATH Keywords

Newton's methodfinite element discretizationquadratic convergencenonlinear elliptic problemLipschitz continuitymesh independencesecond order elliptic boundary value problems

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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