Convergence analysis of a nonconforming finite element method solving a plate with ribs
Applications of Mathematics, Tome 23 (1978) no. 1, pp. 9-30
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/AM.1978.103727
Classification : 65N30, 74S05
Keywords: clamped rectangular plate; intersecting ribs; irregularity; convergence; error estimates; numerical computations; finite element methods
@article{10_21136_AM_1978_103727,
     author = {Janovsk\'y, Vladim{\'\i}r and Proch\'azka, Petr},
     title = {Convergence analysis of a nonconforming finite element method solving a plate with ribs},
     journal = {Applications of Mathematics},
     pages = {9--30},
     year = {1978},
     volume = {23},
     number = {1},
     doi = {10.21136/AM.1978.103727},
     mrnumber = {0462100},
     zbl = {0415.73085},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1978.103727/}
}
TY  - JOUR
AU  - Janovský, Vladimír
AU  - Procházka, Petr
TI  - Convergence analysis of a nonconforming finite element method solving a plate with ribs
JO  - Applications of Mathematics
PY  - 1978
SP  - 9
EP  - 30
VL  - 23
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1978.103727/
DO  - 10.21136/AM.1978.103727
LA  - en
ID  - 10_21136_AM_1978_103727
ER  - 
%0 Journal Article
%A Janovský, Vladimír
%A Procházka, Petr
%T Convergence analysis of a nonconforming finite element method solving a plate with ribs
%J Applications of Mathematics
%D 1978
%P 9-30
%V 23
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1978.103727/
%R 10.21136/AM.1978.103727
%G en
%F 10_21136_AM_1978_103727
Janovský, Vladimír; Procházka, Petr. Convergence analysis of a nonconforming finite element method solving a plate with ribs. Applications of Mathematics, Tome 23 (1978) no. 1, pp. 9-30. doi: 10.21136/AM.1978.103727

[1] Janovský V., Procházka P.: The nonconforming finite element method in the problem of clamped plate with ribs. Aplikace matematiky 21, (1976), 273 - 289. | MR

[2] Lions J. L., Magenes E.: Problèmes aux limites non homogènes et applications. Dunod, Paris, Vol. 1 (1968). | Zbl

[3] Kondratěv V. A.: Boundary value problem for elliptic equations in domains with conical or angular points. (Russian) Trudy Mosk. Mat. Obšč. 16, (1967), 209-292. | MR

[4] Nečas J.: Les methodes directes en théorie des équations elliptiques. Academia, Prague 1967. | MR

[5] Jakovlev G. N.: Boundary properties of functions from $W_p^{(1)} on domains with angular points. (Russian) Dokl. Akad. Nauk SSSR 140, (1961), 73-76. | MR

[6] Kolář V., et al.: Technical, Physical and Mathematical Principles of the Finite Element Method. Rozpravy ČSAV, Academia Praha, 1971, 81, 2.

[7] Křístek V.: Theory of solution of box girders. SNTL Praha, 1974, (in Czech).

[8] Kovář A.: Theory of torsion. Academia, Praha 1954, (in Czech).

[9] Zienkiewicz O. C.: The Finite Element Method in Engineering Science. McGraw-Hill, London, 1971. | MR | Zbl

Cité par Sources :