Geodesic
Superconvergence effect in finite element methods for two-point boundary value problems
Mathematica Applicanda, Tome 16 (1987) no. 30, pp. 97-111.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

Approximate methods for solving two-point boundary value problems are considered. The aim of the paper is to explain superconvergence effect in the methods using finite element spaces. The existence of a class of the methods with the superconvergence property is demonstrated. Detailed proofs of superconvergence are presented for the case of the Galerkin method (due to Douglas and Dupont results) and for some example of external method.
DOI : 10.14708/ma.v16i30.1701
Classification : 65L10 (65L60)
Mots-clés : Boundary value problems, Finite elements, Rayleigh-Ritz, Galerkin and collocation methods 
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     author = {Teresa Regi\'nska},
     title = {Superconvergence effect in finite element methods for two-point boundary value problems},
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     pages = { 97--111},
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Teresa Regińska. Superconvergence effect in finite element methods for two-point boundary value problems. Mathematica Applicanda, Tome 16 (1987) no. 30, pp.  97-111. doi : 10.14708/ma.v16i30.1701. http://geodesic.mathdoc.fr/articles/10.14708/ma.v16i30.1701/

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