Full entry |
PDF
(3.0 MB)
Feedback

numerical analysis; weak solution; boundary value problem; shallow shell; variational problem; finite elements

References:

[1] S. Agmon: **Lectures on elliptic boundary value problems**. New York, 1965. MR 0178246 | Zbl 0142.37401

[2] I. Hlaváček J. Nečas: **On inequalities of Korn's Type I. in boundary value problems for elliptic systems of partial differential equations**. Arch. Rat. Mech. Annal. 36(1970), 305-311. MR 0252844

[3] J. Haslinger: **Sur la solution d'un probleme de la plaque**. Apl. mat. 19 (1974), No 5, 316-326. MR 0369902 | Zbl 0324.73049

[4] J. L. Lions E. Magenes: **Problems aux limites non homogenes et applications**. Volume I. Paris 1968.

[5] J. Lovíšek: **A weak solution of statically nonlinear problem for shallow shells considering the wind action**. Scientific research, SVŠT Bratislava, 1975 (in Slovak).

[6] A. G. Nazarov: **Some contact problems of the theory of shells**. (in Russian), DAN Arm. SSR, Vol. 9, No. 2, 1948.

[7] A. G. Nazarov: **Foundations of the theory and the method of computing shallow shells**. (in Russian), Moscow, 1966.

[8] J. Nečas: **Les méthodes directes en theorie des équations elliptiques**. Academia, Praha, 1967. MR 0227584

[9] J. T. Oden J. N. Ready: **Variational methods in theoretical mechanics**. Springer Verlag, 1976. MR 0478957

[10] G. N. Sawin N. P. Fleischman: **Plates and shells with stiffening ribs**. (in Russian). Kiev, 1964.

[11] P. Seide: **Small elastic deformations of thin shells**. Noordhoff International Publishing Leyden, 1975. MR 0403382 | Zbl 0313.73070

[12] G. Strang Y. Fix: **An analysis of the finite element method**. Prentice Hall Inc., 1973. MR 0443377