Abstract

elasticity having 9 nodal points, 3 on a side. Compatibility of displacements is assured if the interpolation functions include 1, f, v\, £, ^, r], £V, <^, £VAgain, since the third degree polynomial is missing only <j and rj, there will be no loss of accuracy in nonparallelogram elements with straight sides. When strongly curved, this (or any other isoparametric) element yields an error in the energy norm of only 0(Nes~) as with linear interpolation of variables inside it. The relative error of the rth eigenvalue in finite element eigenproblems is given by'

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