SOME SUPERCONVERGENCE FOR A GALERKIN METHOD BY AVERAGING GRADIENTS IN ONE DIMENSIONAL PROBLEMS.

Mitsuhiro T. Nakao

Research output: Contribution to journalArticle

Abstract

We consider some superconvergence phenomena followed by the averaging gradients in a Galerkin method for two point boundary value problems using continuous piecewise polynomials. It is shown that several a posteriori methods based on the averaging procedures yield superconvergent approximations to the exact solution and its derivative with one order better rates of convergence than the optimal rates. The special emphasis of the paper is the fact that the superconvergence phenomena only occur in cases using odd degree polynomials. We describe the extension of the results to the parabolic problems in a single space variable.

Original languageEnglish
Pages (from-to)130-134
Number of pages5
JournalJournal of Information Processing
Volume9
Issue number3
Publication statusPublished - 1986
Externally publishedYes

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Galerkin methods
Polynomials
Boundary value problems
Derivatives

ASJC Scopus subject areas

  • Engineering(all)

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SOME SUPERCONVERGENCE FOR A GALERKIN METHOD BY AVERAGING GRADIENTS IN ONE DIMENSIONAL PROBLEMS. / Nakao, Mitsuhiro T.

In: Journal of Information Processing, Vol. 9, No. 3, 1986, p. 130-134.

Research output: Contribution to journalArticle

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