External Approximation of Nonlinear Operator Equations

DOI10.1080/01630560902987329zbMath1184.65061OpenAlexW1998630842MaRDI QIDQ3395173

Etienne Emmrich

Publication date: 24 August 2009

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560902987329

zbMATH Keywords

convergencenumerical examplefinite element methodperturbationmonotone operatorreflexive Banach spacenonlinear operator equationquasilinear Dirichlet problemexternal approximation scheme

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Nonlinear boundary value problems for linear elliptic equations (35J65) 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) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

DISCRETIZATION OF STATIONARY SOLUTIONS OF SPDE'S BY EXTERNAL APPROXIMATION IN SPACE AND TIME

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The approximate solution of monotone nonlinear operator equations
• Stable discretization methods with external approximation schemes
• Diskrete Konvergenz linearer Operatoren. I
• External approximation of first order variational problemsvia W^-1,pestimates
• Superconvergence of External Approximation of Eigenvalues of Ordinary Differential Operators
• The finite difference method for quasilinear elliptic equations of order 2M
• Über diskrete Approximationen nichtlinearer Gleichungen 1. Art