Estimation d'erreur a priori pour la version Baumann-Oden de la méthode Galerkin discontinue

Translated title of the contribution: A priori error estimate for the Baumann-Oden version of the discontinuous Galerkin method

Serge Prudhomme*, Frédéric Pascal, J. Tinsley Oden, Albert Romkes

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

This work presents an a priori error estimate for hp finite element approximations obtained by the Baumann-Oden version of the Discontinuous Galerkin method. If it is now well known that the method converges with an optimal rate in h, this has not been yet proved or disproved with respect to p. For the Poisson problem and for solutions with regularity s, it is shown here that the rate of convergence can be reduced to ps-5/2. It is also suggested that this rate could still be improved.

Translated title of the contributionA priori error estimate for the Baumann-Oden version of the discontinuous Galerkin method
Original languageFrench
Pages (from-to)851-856
Number of pages6
JournalComptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume332
Issue number9
DOIs
StatePublished - May 1 2001

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'A priori error estimate for the Baumann-Oden version of the discontinuous Galerkin method'. Together they form a unique fingerprint.

Cite this