On mesh independence and Newton-type methods

zbMath0806.65057MaRDI QIDQ1316213

Owe Axelsson

Publication date: 9 February 1995

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/15753

zbMATH Keywords

global convergenceHilbert spaceNewton-type methodsdiscretization errormesh independenceiteration errorsuperlinear rate of convergenceconjugate gradient type methodnonlinear strongly monotone operator equations

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (13)

Efficient Application of the Two-Grid Technique for Solving Time-Fractional Non-linear Parabolic Problem ⋮ Two-grid quasilinearization approach to ODEs with applications to model problems in physics and mechanics ⋮ Convergence of a FEM and two-grid algorithms for elliptic problems on disjoint domains ⋮ An efficient preconditioning method for state box-constrained optimal control problems ⋮ PDE-Constrained Optimization: Optimal control with L 1-Regularization, State and Control Box Constraints ⋮ A two-grid penalty method for American options ⋮ Two-grid algorithms for some linear and nonlinear elliptic systems ⋮ A Two-Grid Approximation of an Interface Problem for the Nonlinear Poisson-Boltzmann Equation ⋮ A Two-Grid Algorithm for Solution of the Difference Equations of a System of Singularly Perturbed Semilinear Equations ⋮ PARALLEL SOLUTION METHODS AND PRECONDITIONERS FOR EVOLUTION EQUATIONS ⋮ Penalty method for indifference pricing of American option in a liquidity switching market ⋮ AN INEXACT NEWTON METHOD WITH INNER PRECONDITIONED CG FOR NON-UNIFORMLY MONOTONE ELLIPTIC PROBLEMS ⋮ Two-level method and some a priori estimates in unsteady Navier-Stokes calculations

Cites Work

• A unified derivation of several error bounds for Newton's process
• Incomplete block-matrix factorization iterative methods for convection- diffusion problems
• A Mesh-Independence Principle for Operator Equations and Their Discretizations
• Application of the Mesh Independence Principle to Mesh Refinement Strategies
• Inexact Newton Methods
• Unnamed Item
• Unnamed Item

This page was built for publication: On mesh independence and Newton-type methods