Condition number and diagonal preconditioning: Comparison of the p-version and the spectral element methods

Numerische Mathematik

Volumn 74, Issue 1, 1996, Pages 69-84

  Maitre, Jean François ^a   Pourquier, Olivier ^b  

^a CNRS URA 0740   (France)

^b IVP de Lorient   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030489949     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050208     Document Type: Article

References (13)

1. Azaiev, M., Dauge, M., Maday, Y. (1994): Méthodes spectrales et des éléments spectraux. Publication 94-17 de l'I.R.M.A.R. et cours I.N.R.I.A., Rennes, France
2. Babuška, I., Craig, A., Mandel, J., Pitkäranta, J. (1991): Efficient preconditioning for the p-version F.E.M. in two dimension. S.I.A.M. J. Numer. Anal. 28(3), 624-661
3. Babuška, I., Elman, H.C., Markley, K. (1992): Parallel implementation of the h-p version of the finite element method on a shared-memory architecture. S.I.A.M. J. Sci. Stat. Comput. 13(6), 1433-1459
4. Babuška, I., Suri, M. (1990): The h-p version of the F.E.M., an overview. Comput. Methods Appl. Mech. Eng. 80, 5-26
5. Babuska, I., Szabo, B.A. (1991): Finite element analysis. Wiley Interscience, New York
6. Bernardi, C., Maday, Y. (1992): Approximations spectrales de problèmes aux limites elliptiques. Math. & Appl., Springer Verlag
7. Maître, J.F., Pourquier, O. (1994): Conditionnements et préconditionnements diagonaux des systèmes pour la p-version des méthodes d'éléments finis pour des problèmes elliptiques d'ordre 2. C.R. Acad. Sci. Paris 318 Série I (6), 583-586
8. Oden, J.T. (1991): Theory and implementation of high-order adaptive h-p methods for the analysis of incompressible viscous flows. Computational non linear mechanics in aerospace eng. (AIAA progress in aeronautics and astronautics. S.N. Atluri)
9. Oden, J.T. (1991): Theory and implementation of high-order adaptive h-p methods for the analysis of incompressible viscous flows. Computational non linear mechanics in aerospace eng. (AIAA progress in aeronautics and astronautics. S.N. Atluri)
10. Olsen, E.T., Douglas, J.: Condition numbers of matrices arising in the p-version of the finite element method. Numer. Math. (to appear)
11. Pavarino, L.F. (1994): Adaptive Schwarz methods for the p-version finite element method. Numer. Math. 66(4), 493-516
12. Pourquier, O. (1994): Méthode des éléments finis de haut degré (p-version): estimation du conditionnement des matrices et construction de préconditionneurs. Thesis 94-35 (Ecole Centrale de Lyon)
13. Zhuang, G.W. (1988): Hierarchical elements, local mappings and the h-p version of the F.E.M. (I) and (II). J. Comput. Math. 6(1,2), 54-67, 142-155