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

Serge Prudhomme; Frédéric Pascal; J. Tinsley Oden; Albert Romkes

doi:10.1016/S0764-4442(01)01936-X

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 journal › Article › peer-review

11 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 p^s-5/2. It is also suggested that this rate could still be improved.

Translated title of the contribution	A priori error estimate for the Baumann-Oden version of the discontinuous Galerkin method
Original language	French
Pages (from-to)	851-856
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	332
Issue number	9
DOIs	https://doi.org/10.1016/S0764-4442(01)01936-X
State	Published - May 1 2001
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.1016/S0764-4442(01)01936-X

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T1 - Estimation d'erreur a priori pour la version Baumann-Oden de la méthode Galerkin discontinue

AU - Prudhomme, Serge

AU - Pascal, Frédéric

AU - Oden, J. Tinsley

AU - Romkes, Albert

PY - 2001/5/1

Y1 - 2001/5/1

N2 - 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.

AB - 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.

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DO - 10.1016/S0764-4442(01)01936-X

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IS - 9

ER -

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

Abstract

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