Geodesic
On the solution of a plate with ribs
Applications of Mathematics, Tome 22 (1977) no. 4, pp. 256-271
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Numerical solution of the problem of a plate with ribs by the finite element method is studied in this paper. Since the regularity of a solution of the trial problem is not a priori known, the convergence of the finite element method is ensured when a space of smooth enough functions which is dense in the trial space is found. To find such a space is the main goal of this paper. Some numerical results are compared with the folded plate method in the last part.
Numerical solution of the problem of a plate with ribs by the finite element method is studied in this paper. Since the regularity of a solution of the trial problem is not a priori known, the convergence of the finite element method is ensured when a space of smooth enough functions which is dense in the trial space is found. To find such a space is the main goal of this paper. Some numerical results are compared with the folded plate method in the last part.
DOI : 10.21136/AM.1977.103702
Classification : 65N99, 74K20, 74S05 
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Haslinger, Jaroslav; Procházka, Petr. On the solution of a plate with ribs. Applications of Mathematics, Tome 22 (1977) no. 4, pp. 256-271. doi: 10.21136/AM.1977.103702

[1] P. G. Ciarlet P. A. Raviart: General Lagrange and Hermite Interpolation in $R_n$ with Applications to Finite Element Methods. Arch. Rat. Mech. Anal., sv. 46, 1972. | MR

[2] J. Haslinger: Sur la solution d'un problème de la plaque. Aplikace matematiky, č. 5, sv. 19, 1974. | MR | Zbl

[3] J. L. Lions E. Magenes: Problemes aux limites non homogenes et applications. DUNOD - Paris - 1968.

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

[5] V. S. Vladimirov: Уравнения математической физики. Наука, Moskva 1967. | Zbl

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

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