Efficient preconditioning for the discontinuous Galerkin finite element method by low-order elements-Reference-Cited by-同舟云学术

Efficient preconditioning for the discontinuous Galerkin finite element method by low-order elements

Published:2009-08 Issue:8 Volume:59 Page:1737-1753
ISSN:0168-9274
Container-title:Applied Numerical Mathematics
language:en
Short-container-title:Applied Numerical Mathematics

Author:

Hartmann R.,Lukáčová-Medvid'ová M.,Prill F.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference34 articles.

1. ADIGMA, Adaptive higher-order variational methods for aerodynamic applications in industry. A specific targeted research project of the sixth European community framework programme, see http://www.dlr.de/as/desktopdefault.aspx/tabid-2035

2. Unified analysis of discontinuous Galerkin methods for elliptic problems;Arnold;SIAM J. Numer. Anal.,2002

3. Efficient preconditioning for the p-version finite element method in two dimensions;Babuška;SIAM J. Numer. Anal.,1991

4. deal.ii – A general-purpose object-oriented finite element library;Bangerth;ACM Trans. Math. Software,2007

5. W. Bangerth, R. Hartmann, G. Kanschat, deal.II Differential Equations Analysis Library, Technical Reference, http://www.dealii.org/, 6th ed., first edition 1999 (Sept 2007)

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