Basic compactness properties of nonconforming and hybrid finite element spaces
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 14 (1980) no. 1, pp. 81-115.

Voir la notice de l'article provenant de la source Numdam

@article{M2AN_1980__14_1_81_0,
     author = {Stummel, Friedrich},
     title = {Basic compactness properties of nonconforming and hybrid finite element spaces},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {81--115},
     publisher = {Centrale des revues, Dunod-Gauthier-Villars},
     address = {Montreuil},
     volume = {14},
     number = {1},
     year = {1980},
     mrnumber = {566091},
     zbl = {0456.65061},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/M2AN_1980__14_1_81_0/}
}
TY  - JOUR
AU  - Stummel, Friedrich
TI  - Basic compactness properties of nonconforming and hybrid finite element spaces
JO  - ESAIM: Mathematical Modelling and Numerical Analysis 
PY  - 1980
SP  - 81
EP  - 115
VL  - 14
IS  - 1
PB  - Centrale des revues, Dunod-Gauthier-Villars
PP  - Montreuil
UR  - http://geodesic.mathdoc.fr/item/M2AN_1980__14_1_81_0/
LA  - en
ID  - M2AN_1980__14_1_81_0
ER  - 
%0 Journal Article
%A Stummel, Friedrich
%T Basic compactness properties of nonconforming and hybrid finite element spaces
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 1980
%P 81-115
%V 14
%N 1
%I Centrale des revues, Dunod-Gauthier-Villars
%C Montreuil
%U http://geodesic.mathdoc.fr/item/M2AN_1980__14_1_81_0/
%G en
%F M2AN_1980__14_1_81_0
Stummel, Friedrich. Basic compactness properties of nonconforming and hybrid finite element spaces. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 14 (1980) no. 1, pp. 81-115. http://geodesic.mathdoc.fr/item/M2AN_1980__14_1_81_0/

1. Sh. Agmon, Lectures on Elliptic Boundary Value Problems, van Nostrand, New York, 1965. | Zbl | MR

2. P.Ate Alexandroff and H. Hopf, Topologie, Springer-Verlag, Berlin, 1935; Chelsea,New York, 1965. | Zbl

3. P. C. Carlet, Conforming and Nonconforming Finite Element Methods for Solving the Plate Problem Proc. Conf. Numer. Solution of Differential Equations, Dundee, 1973, G. A. WATSON, Ed., Lecture Notes in Math., Vol. 363, 1974 pp. 150-168. | Zbl | MR

4. P. C. Ciarlet , The Finite Element Method for Elliptic Problems, North Holland, Amsterdam, 1978. | Zbl | MR

5. M. Crouzeix and P. A. Raviart, Conforming and Nonconforming Finite Element Methods for Solving the Stationary Stokes Equations I, R.A.I.R.O., Série Rouge, Anal. Numér., Vol. 3, 1973, pp. 33-76. | Zbl | MR | mathdoc-id

R. D. Grigorieff, Diskrete Approximation von Eigenwertproblemen. I. Qualitative Konvergenz, Numer. Math., Vol. 24, 1974, pp. 355-374; | Zbl | MR

II. Konvergenzordnung, Numer. Math., Vol. 24, 1974, pp. 415-433;

III. Asymptotische Entwicklungen, Numer. Math., Vol. 25, 1975, pp. 79-97. | MR

7. B. Grünbaum, Convex Polytopes, Wiley-Interscience, London-New York, 1967. | Zbl | MR

8. P. Lascaux and P. Lesaint, Some Nonconforming Finite Elements for the Plate Bending Problem, R.A.I.R.O., Série Rouge, Anal. Numér., Vol. 9, 1975, pp. 9-53. | Zbl | MR | mathdoc-id

9. J. Necas, Les méthodes directes en théorie des équations elliptiques, Masson, Paris, 1967. | MR

10. R. Rannacher, Conconforming Finite Element Methods for Eigenvalue Problems in Linear Plate Theory, Preprint, No. 191, S.F.B. 72, Universität Bonn, 1978. | Zbl | MR

11. P. A. Raviart and J. M. Thomas, Primal Hybrid Finite Element Methods for 2nd Order Elliptic Equations, Math. Comp., Vol. 31, 1977, No. 138, pp. 391-413. | Zbl | MR

12. R. T. Rockafellar, Convex Analysis, University Press, Princeton, 1970. | Zbl | MR

13. F. Stummel, Rand-und Eigenwertaufgaben in Sobolewschen Rämen, Lecture Notes in Mathematics, No. 102, Springer-Verlag, Berlin-Heidelberg-New York, 1969. | Zbl | MR

14 F Stummel, Diskrete Konvergenz linearer OperatorenI, Math Ann , Vol 190 1970, pp 45-92, II, Math Z , Vol 120, 1971, pp 231-264, III, Proc Conf Linear Operators and Approximation, Oberwolfach, 1971, P L BUTZER, J-P KAHANE and B Sz -NAGY, Eds , Birkhauser Basel, I S N M Vol 20 1972 pp 196-216. | Zbl

15 F Stummel, Singular Perturbations of Elliptic Sesquilinear Forms, Proc Conf Differential Equations, Dundee, 1972, W N EVERITT and B D SLEEMAN, Eds, Lecture Notes m Mathematics, No 280, 1972, pp 155-180. | Zbl | MR

16 F Stummel, Perturbation Theory for Sobolev Spaces, Proc Royal Soc Edmburgh,Vol 73A, 1974/ 1975, pp 1-49. | MR

17 F Stummel Perturbation of Domains in Elliptic Boundary Value Problems, Proc Conf Application of Methods of Functional Analysis to Problems of Mechanics, Marseille, 1975, P GERMAIN and B NAYROLES, Eds , Lecture Notes in Mathematics, No 503, 1976, pp 110-136. | Zbl | MR

18 F Stummel, Approximation Methods for Eigenvalue Problems in Elliptic Differential Equations, Proc Conf Numerik und Anwendungen von Eigenwertaufgaben und Verzweigungsproblemen, Oberwolfach 1976 E BOHL L COLLATZ and K P HADFLER Eds Birkhauser Basel I S N M Vol 38 1977 pp 133-165. | Zbl | MR

19 F Stummel The Limitations of the Patch Test Int J Numer Meth Eng. | Zbl

20 F Stummel The Genetalized Patch Test S I A M J Numer Anal Vol 16 1979 pp 449-471. | Zbl | MR

21 J M Thomas, Sur l'analyse numérique des methodes d'élement finis hybrides et mixtes, These Universite P -et-M-Curie, Pans, 1977.