A priori error estimate for the Baumann-Oden version of the discontinuous Galerkin method;Estimation d'erreur a priori pour la version Baumann-Oden de la méthode Galerkin discontinue

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 332, Issue 9, 2001, Pages 851-856

  Prudhomme, Serge ^a   Pascal, Frédéric ^b   Oden, J Tinsley ^a   Romkes, Albert ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b UNIVERSITÉ PARIS SUD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009875479     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(01)01936-X     Document Type: Article

References (10)

1. Babuška I., Baumann C.E., Oden J.T. A discontinuous hp finite element method for diffusion problems: 1-D analysis. Comput. Math. with Appl. 37:1999;103-122.
2. Baumann C.E., An h - p adaptive discontinuous finite element method for computational fluid dynamics, Ph.D. thesis, The University of Texas at Austin, 1997.
3. Chen Z., On the relationship of various discontinuous finite element methods for second-order elliptic equations, SMU Math Report 2000-02, Southern Methodist University, 2000.
4. 00/15, Oxford University Computing Laboratory, 2000.
5. Oden J.T., Babuška I., Baumann C.E. A discontinuous hp finite element method for diffusion problems. J. Comput. Phys. 146:1998;491-519.
6. Prudhomme S., Pascal F., Oden J.T., Romkes A., A review of a priori error estimation for discontinuous Galerkin methods, TICAM report 00-27, The University of Texas at Austin, 2000.
7. Rivière B., Discontinuous Galerkin methods for solving the miscible displacement problem in porous media, Ph.D. thesis, The University of Texas at Austin, 2000.
8. Rivière B., Wheeler M.F., Girault V. Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems, Part I. Comput. Geosci. 3-4:1999;337-360.
9. Rivière B., Wheeler M.F., Girault V., A priori error estimates for finite element methods based on discontinuous approximation spaces for elliptic problems, SIAM J. Numer. Anal. (submitted).
10. Schwab C. p - and hp -Finite Element Methods - Theory and Applications in Solid and Fluid Mechanics. 1998;Oxford University Press, New York.