32, 2, pp. 135-143, 1984
The Most Favourable Selection of the Discrete Model in Fem
A theorem and proof of the best, in the energetic sense, selection of a discrete model FEM for the linear elasticity problem were presented in the paper. It was proved that the best approximation is obtained if the ratio of the unit elastic strain energy to the density of nodes has a constant value. Proof of the theorem was verified on numerical examples.
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).
J. T. ODEN, Finite elements of nonlinear continua, McGraw Hill Book Company, New York 1972.
K. H. MURRAY, Comments on the convergence of finite element solutions, AIAA J., 8, 1970.
G. STRANG, G. J. FIX, An analysis of the finite element method, Prentice Hall Inc., Englewood Cliffs, 1973.