Convergence analysis for least-squares finite element approximations of second-order two-point boundary value problems

DOI10.1016/j.cam.2012.04.016zbMath1248.65081OpenAlexW2064685449MaRDI QIDQ442732

Runchang Lin, Zhimin Zhang

Publication date: 3 August 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2012.04.016

zbMATH Keywords

numerical experimentserror analysissuperconvergencesuperapproximationleast-squares finite element methodsecond-order two-point boundary value problemsmaximum-norm error estimate

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (3)

On semi-convergence and inexact iteration of the GSS iteration method for nonsymmetric singular saddle point problems ⋮ Least-squares solutions as solutions of a perturbation form of the Galerkin methods: interior pointwise error estimates and pollution effect ⋮ Numerical study of natural superconvergence in least-squares finite element methods for elliptic problems

Uses Software

• FEAPpv

Cites Work

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