A mixed method for 4th order problems using linear finite elements

Scholz, Reinhard

Scholz, Reinhard

RAIRO. Analyse numérique, Tome 12 (1978) no. 1, pp. 85-90.

MR Zbl | 6 citations dans Numdam

@article{M2AN_1978__12_1_85_0,
     author = {Scholz, Reinhard},
     title = {A mixed method for 4th order problems using linear finite elements},
     journal = {RAIRO. Analyse num\'erique},
     pages = {85--90},
     publisher = {Centrale des revues, Dunod-Gauthier-Villars},
     address = {Montreuil},
     volume = {12},
     number = {1},
     year = {1978},
     mrnumber = {483557},
     zbl = {0382.65059},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_1978__12_1_85_0/}
}

TY  - JOUR
AU  - Scholz, Reinhard
TI  - A mixed method for 4th order problems using linear finite elements
JO  - RAIRO. Analyse numérique
PY  - 1978
SP  - 85
EP  - 90
VL  - 12
IS  - 1
PB  - Centrale des revues, Dunod-Gauthier-Villars
PP  - Montreuil
UR  - http://www.numdam.org/item/M2AN_1978__12_1_85_0/
LA  - en
ID  - M2AN_1978__12_1_85_0
ER  -

%0 Journal Article
%A Scholz, Reinhard
%T A mixed method for 4th order problems using linear finite elements
%J RAIRO. Analyse numérique
%D 1978
%P 85-90
%V 12
%N 1
%I Centrale des revues, Dunod-Gauthier-Villars
%C Montreuil
%U http://www.numdam.org/item/M2AN_1978__12_1_85_0/
%G en
%F M2AN_1978__12_1_85_0

Scholz, Reinhard. A mixed method for 4th order problems using linear finite elements. RAIRO. Analyse numérique, Tome 12 (1978) no. 1, pp. 85-90. http://www.numdam.org/item/M2AN_1978__12_1_85_0/

Bibliographie
Cité par

1. F. Brezzi and P. A. Raviart, Mixed Finite Element Methods for Mh Order Elliptic Equations (to appear). | Zbl

2. P. G. Ciarlet and P. A. Raviart, Interpolation Theory Over Curved Elements, with Applications to Finite Element Methods, Computer Meth. Appl. Mech. Engrg., 1, 1972, pp. 217-249. | MR | Zbl

3. P. G. Ciarlet and P. A. Raviart, A Mixed Finite Element Method for the Biharmonic Equation in Mathematical Aspects of Finite Elements in Partial Differential Equations, C. DEBOOR, Ed., Proc. Symp. Math. Res. Center, Univ. Wisconsin, April 1-3, 1974, Academic Press, New York - San Francisco- London, 1974, pp. 125-145. | MR | Zbl

4. J. Frehse and R. Rannacher, Eine $L^{1}$ -Fehlerabschätzung für diskrete Grundlösungen in der Methode der finiten Elemente, Bonner Math. Schriften, 89, 1976, pp. 92-114. | MR | Zbl

5. S. G. Mdchlin, The Problem of the Minimum of a Quadratic Functional, Holden-Day, Inc., San Francisco - London - Amsterdam, 1965. | MR | Zbl

6. J. Nitsche, $L_{\infty}$ -Convergence of Finite Element Approximations, Rom, 1975 (to appear). | MR | Zbl

7. J. Nitsche, $L_{i} n f t y$ -convergence of the Ritz-method with linear finite elements for second order elliptic boundary value problems (to appear in the anniversary volume dedicated to academician I. N. Vekua). | MR | Zbl

8. R. Rannacher, Punktweise Konvergenz der Methode der finiten Elemente beim Plattenproblem, Manuscripta Math., 19, 1976, pp. 401-416. | MR | Zbl

9. R. Scholz, Approximation von Sattelpunkten mit finiten Elementen, Bonner Math. Schriften, 89, 1976, pp. 53-66. | MR | Zbl

10. M. Zlamal, Curved Elements in the Finite Element Method, I. S.LA.M. J. Numer. Anal., 10, 1973, pp. 229-240; II. S.I.A.M. J. Numer. Anal.,11, 1974, pp. 347-362. | MR | Zbl