Convergence analysis of least-squares mixed finite elements
type: Item
instance of: scholarly article
title: Convergence analysis of least-squares mixed finite elements
zbMATH Open document ID: 0790.65079
DOI: 10.1007/BF02243846
author: A. I. Pehlivanov
author: Graham F. Carey
author: Raytcho D. Lazarov
author: Yun Shen
published in: Computing
publication date: 1994-06-27T00:00:00Z
review text: The paper deals with theoretical error estimates for the least squares finite element method applied to a system of first order ordinary differential equations. The estimates are consistent with the numerical studies of \textit{G. F. Carey} and \textit{Y. Shen} [Commun. Appl. Numer. Methods 5, No. 7, 427-434 (1989; Zbl 0684.65083)] for the same system. It is proved that the least squares method is not subject to the Ladyzhenskaya-Babuska-Brezzi condition. Some questions are still to be resolved and it is also indicated that the results may be extended to higher dimensions.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 65L70
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 482256
zbMATH Keywords: error estimates
zbMATH Keywords: least squares finite element method
zbMATH Keywords: system of first order ordinary differential equations
zbMATH Keywords: Ladyzhenskaya-Babuska-Brezzi condition
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 482256