Convergence analysis of least-squares mixed finite elements (Q1310612)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Convergence analysis of least-squares mixed finite elements |
scientific article; zbMATH DE number 482256
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence analysis of least-squares mixed finite elements |
scientific article; zbMATH DE number 482256 |
Statements
Convergence analysis of least-squares mixed finite elements (English)
0 references
27 June 1994
0 references
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.
0 references
error estimates
0 references
least squares finite element method
0 references
system of first order ordinary differential equations
0 references
Ladyzhenskaya-Babuska-Brezzi condition
0 references
0 references
0 references
0 references
0.93489647
0 references
0.92099285
0 references
0.9203715
0 references
0.9202591
0 references
0.9194238
0 references
0.91874117
0 references
0.91804326
0 references
