Asymptotic Mesh Independence of Newton–Galerkin Methods via a Refined Mysovskii Theorem

DOI10.1137/0729080zbMath0760.65056OpenAlexW2065253292MaRDI QIDQ4020502

Peter Deuflhard, Florian A. Potra

Publication date: 17 January 1993

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

Full work available at URL: https://doi.org/10.1137/0729080

zbMATH Keywords

Newton's methodcollocation methodsquadratic convergenceGalerkin methodsmultilevel finite element methodsasymptotic mesh independenceBanach space nonlinear operator equationdiscretized operator equationsMysovskii theorem

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Nonlinear boundary value problems for linear elliptic equations (35J65) Fixed-point theorems (47H10) 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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