On the Newton–Kantorovich theorem and nonlinear finite element methods

DOI10.4064/AM36-1-6zbMATH Open1169.65044OpenAlexW2156531642MaRDI QIDQ3598208

I. K. Argyros

Publication date: 2 February 2009

Published in: Applicationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/am36-1-6

zbMATH Keywords

finite elementboundary value problemBanach spacenonlinear operator equationNewton-Kantorovich hypothesisstrongly nonlinear elliptic boundary value problem

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solutions to equations with nonlinear operators (65J15)

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