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A note on the optimal choice of finite element grids. (English) Zbl 0323.73059


MSC:

74S05 Finite element methods applied to problems in solid mechanics
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
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References:

[1] Argyris, J. H.; Mareczek, G.; Scharpf, D. W., Two- and three-dimensional flow using finite elements, Aeron. J. Roy. Aeron. Soc., 73, 961-964 (1969)
[2] Argyris, J. H.; Scharpf, D. W., The incompressible lubrication problem, Aeron. J. Roy. Aeron. Soc., 73, 1044-1046 (1969)
[3] McNeice, G. M.; Marcal, P. V., Optimization of finite element grids based on minimum potential energy, ASME Paper No. 72-PVP-3 (1972), to appear in J. Engg. for Industry.
[4] Carroll, W. E.; Barker, R. M., A theorem for optimum finite-element idealizations, Int., J. Solids and Structs., 9, 883-895 (1973)
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