Minimum Residual Adaptive Multilevel Finite Element Procedure for the Solution of Nonlinear Stationary Problems

DOI10.1137/S0036142995286428zbMath0972.65092MaRDI QIDQ4389175

Owe Axelsson, Igor E. Kaporin

Publication date: 12 May 1998

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

zbMATH Keywords

convergencenumerical exampleinexact Newton methodsfinite element methoderror boundnonlinear boundary value problemsleast squares methodmultilevel methodadaptive space refinement

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for boundary value problems involving PDEs (65N15) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (8)

On mesh refinement procedures for the virtual element method for two-dimensional elastic problems ⋮ Error norm estimation and stopping criteria in preconditioned conjugate gradient iterations ⋮ A posteriori error estimate of MacCormack rapid solver method for two-dimensional incompressible Navier-Stokes problems ⋮ Two novel decoupling algorithms for the steady Stokes-Darcy model based on two-grid discretizations ⋮ Conditioning analysis of separate displacement preconditioners for some nonlinear elasticity systems. ⋮ Error estimates and adaptive finite element methods ⋮ Long time unconditional stability of a two-level hybrid method for nonstationary incompressible Navier-Stokes equations ⋮ A two-grid discretization method for decoupling systems of partial differential equations

This page was built for publication: Minimum Residual Adaptive Multilevel Finite Element Procedure for the Solution of Nonlinear Stationary Problems