## An equilibrium finite element method in three-dimensional elasticity.(English)Zbl 0488.73072

### MSC:

 74S05 Finite element methods applied to problems in solid mechanics 74P99 Optimization problems in solid mechanics 65N15 Error bounds for boundary value problems involving PDEs 74B99 Elastic materials 74H99 Dynamical problems in solid mechanics
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### References:

 [1] Л. Д. Александров: Выпуклые многогранники. Н. - Л., Гостехиздат, Москва, 1950. · Zbl 1157.76305 [2] J. H. Bramble M. Zlámal: Triangular elements in the finite element method. Math. Comp. 24 (1970), 809-820. · Zbl 0226.65073 [3] P. G. Ciarlet P. A. Raviart: General Lagrange and Hermite interpolation in $$R^n$$ with applications to finite element methods. Arch. Rational Mech. Anal. 46 (1972), 177-199. · Zbl 0243.41004 [4] P. G. Ciarlet: The finite element method for elliptic problems. North-Holland publishing company, Amsterdam, New York, Oxford, 1978. · Zbl 0383.65058 [5] G. Duvaut J. L. Lions: Inequalities in mechanics and physics. Springer-Verlag, Berlin, Heidelberg, New York, 1976. · Zbl 0331.35002 [6] B. J. Hartz V. B. Watwood: An equilibrium stress field model for finite element solution of two-dimensional elastostatic problems. Internat. J. Solids and Struct. 4 (1968), 857-873. · Zbl 0164.26201 [7] I. Hlaváček J. Nečas: Mathematical theory of elastic and elasto-plastic bodies. SNTL, Praha, Elsevier, Amsterdam, 1980. [8] I. Hlaváček: Convergence of an equilibrium finite element model for plane elastostatics. Apl. Mat. 24 (1979), 427-457. [9] C. Johnson B. Mercier: Some equilibrium finite element methods for two-dimensional elasticity problems. Numer. Math. 30 (1978), 103-116. · Zbl 0427.73072 [10] J. Nečas: Les méthodes directes en théorie des équations elliptiques. Academia, Praha, 1967. · Zbl 1225.35003 [11] Энциклопедия элементарной математики - Геометрия книга 4, 5. Hauka, Москва, 1966. · Zbl 0156.18206
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