Document Zbl 0423.73056

On the convergence of a mixed finite element approximation for cylindrical shells. (English) Zbl 0423.73056

Z. Angew. Math. Mech. 59, 431-436 (1979).

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MSC:

74S05	Finite element methods applied to problems in solid mechanics
74K15	Membranes

Keywords:

convergence of mixed finite element approximation; cylindrical shells; Lax-Milgram theorem; existence; uniqueness; criterion for choice of interpolation functions

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References:

[1]	and , On the convergence of a mixed finite element scheme for plate bending, Nuclear Engng. Design 24 (1973), pp. 357–373.
[2]	Johnson, Numer. Math. 21 pp 43– (1973)
[3]	and , Mixed finite-element approximations of linear boundary – value problems, Quart. Appl. Math. (1975), pp. 255–280. · Zbl 0321.65057
[4]	On mixed finite element methods, in: Brieskorn, E. et al. (Ed.), Finite Elemente, Bonner Mathematische Schriften, Nr. 89, Bonn 1976, pp. 115–121.
[5]	Approximation von Sattelpunkten mit finiten Elementen, in: Brieskorn, E. et al. (Ed.), Finite Elemente, Bonner Mathematische Schriften, Nr. 89, Bonn 1976, pp. 53–66.
[6]	Rannacher, Manuscripta math. 19 pp 401– (1976)
[7]	Babuška, Numer. Math. 16 pp 322– (1971)
[8]	Babuška, Comp. Meth. Appl. Mech. Engng. 11 pp 175– (1977)
[9]	Moan, Comp. Meth. Appl. Mech. Engng. 3 pp 209– (1974)
[10]	Clarlet, Arch. Rational Mech. Anal. 46 pp 177– (1972)
[11]	Lehrgang der höheren Mathematik, Vol. 5, VEB Deutschner Verlag der Wissenschaften, Berlin 1973.

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