×

Projective method applied to three-dimensional elasticity equations. (English) Zbl 0294.73018

MSC:

74B99 Elastic materials
65N99 Numerical methods for partial differential equations, boundary value problems
65Z05 Applications to the sciences
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] J. H. Argyris J. B. Spooner The thermo-elastic-plastic analysis of a re-entry body type composite solid structure using a new finite element development for axially symmetric systems 1966
[2] Yettron, Space-framework method for three dimensional solids, Proc. A.S.C.E. J. Engng Mech. Div. 93 (EM6) pp 21– (1967)
[3] Zienkiewicz, The Finite Element Method in Engineering Science (1971) · Zbl 0237.73071
[4] Oden, Finite Elements of Nonlinear Continua (1972) · Zbl 0235.73038
[5] Francis, A comparison of direct methods in plane elasticity, AIAA J. 5 pp 735– (1967) · Zbl 0149.22204 · doi:10.2514/3.3937
[6] Crandall, Engineering Analysis (1956)
[7] Finlayson, The method of weighted residuals-A review, Appl. Mech. Rev. 19 (1966)
[8] Polskii, Projective methods in applied mathematics, Soviet Math. 3 pp 787– (1962)
[9] Mikhlin, Int. Series of Monographs in Pure and Applied Mathematics 50 (1964)
[10] S. G. Mikhlin The Problem of the minimum of a Quadratic Functional 1965
[11] Kantorovich, International Series of Monographs in Pure and Applied Mathematics 46 (1964)
[12] Fuksman, Approximation of functions under homogeneous boundary conditions, Soviet Math. 1 pp 1077– (1960) · Zbl 0099.04801
[13] Fuksman, Approximation of functions of several variables with preservation of boundary conditions, Soviet Math. 2 pp 1050– (1961) · Zbl 0118.29101
[14] Rvachev, On the application of the Bubnov-Galerkin method to the solution of boundary value problems for domains of complex shape, Differentsialnye Uravneniva 1 pp 1211– (1965) · Zbl 0156.16704
[15] Wilkenson, Rounding Errors in Algebraic Processes (1963)
[16] R. A. Rosanoff T. A. Ginsburg Matrix error analysis for engineers 1965
[17] Pickett, Fourier methods applied to problems in the theory of elasticity, J. Appl. Mech. ASME Trans. 66 (1944) · Zbl 0060.41805
[18] Herrmann, A reformulation of the elastic field equation, in terms of displacements, valid for all admissable values of Poisson’s ratio, ASME Trans., J. Appl. Mech. 31 pp 140– (1964) · doi:10.1115/1.3629536
[19] Sokolnikoff, Mathematical Theory of Elasticity (1960)
[20] Truesdell, Encyclopedia of Physics III/1 (1960)
[21] Herrmann, Elasticity equations for incompressible and nearly incompressible materials by a variational theorem, AIAA J. 3 pp 1896– (1965) · doi:10.2514/3.3277
[22] R. A. Schapery L. D. Stimpson M. L. Williams Fundamental studies relating to systems analysis of solid propellants 1959
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.