A posteriori error estimates for approximate solutions of nonlinear

DOI10.1080/01630569708816772zbMath0903.65051OpenAlexW2023951302MaRDI QIDQ4385288

Lutz Angermann

Publication date: 11 January 1999

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

Full work available at URL: https://doi.org/10.1080/01630569708816772

zbMATH Keywords

a posteriori error estimatesnonlinear operator equationweakly stable operators

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Iterative procedures involving nonlinear operators (47J25) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical solutions to equations with nonlinear operators (65J15) Applications to the sciences (65Z05)

Related Items (1)

A fixed point theorem for a class of differentiable stable operators in Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• The finite element method for parabolic equations. I. A posteriori error estimation
• A feedback finite element method with a posteriori error estimation. I: The finite element method and some basic properties of the a posteriori error estimator
• A posteriori error estimators for second order elliptic systems. I: Theoretical foundations and a posteriori error analysis
• A unified approach to a posteriori error estimation using element residual methods
• A Note on the a Posteriori Error Analysis for the Finite Element Method
• Finite element methods for nonlinear elliptic systems of second order
• Negative Norm Estimates and Superconvergence in Galerkin Methods for Parabolic Problems
• An a posteriori estimation for the solution of elliptic boundary value problems by means of upwind FEM
• On a Nonlinear Elliptic-Parabolic Partial Differential Equation System in a Two-Dimensional Groundwater Flow Problem
• Asymptotic $L^\infty $-Error Estimates for Linear Finite Element Approximations of Quasilinear Boundary Value Problems
• Error Estimates for Adaptive Finite Element Computations
• A Posteriori Error Estimates for Nonlinear Problems. Finite Element Discretizations of Elliptic Equations
• A posteriori finite element error estimators for parametrized nonlinear boundary value problems
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations

This page was built for publication: A posteriori error estimates for approximate solutions of nonlinear