Geodesic
H^(-1) Galerkin-collocation method with quadratures for two point boundary value problems
Mathematica Applicanda, Tome 17 (1989) no. 31, pp. 137-166.

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

In the paper, the H^(-1)Galerkin-collocation method with quadratures (instead of integrals) for two point boundary value problems is considered. Approximate solution is a piecewise polynomial of degree r. It is proved that the method is stable and the error in L2-norm is of order O(h^(r+1)) if the used quadrature is exact for polynomial of degree not greater than r+1.
DOI : 10.14708/ma.v17i31.1769
Classification : 65L60 (65L10)
Mots-clés : Finite elements, Rayleigh-Ritz, Galerkin and collocation, Boundary value problems 
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     title = {H^(-1) {Galerkin-collocation} method with quadratures for two point boundary value problems},
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Zbigniew Leyk. H^(-1) Galerkin-collocation method with quadratures for two point boundary value problems. Mathematica Applicanda, Tome 17 (1989) no. 31, pp.  137-166. doi : 10.14708/ma.v17i31.1769. http://geodesic.mathdoc.fr/articles/10.14708/ma.v17i31.1769/

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