## Accuracy of Finite Element Approximations to Structural Problems |

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ACCURACY OF FINITE APPENDIX arch central finite difference classical order continuum convergence properties curved beams curved element approximation curved structures deflection difference and finite difference equations differentiation with respect discretization error distributed load edge displacement model element size vanishes equa equation 31 error analysis procedure error of order evaluated extensional finite difference approximations finite difference methods finite element approximation finite element equations Finite element methods finite element models Governing differential equations grid point half wave harmonic loading indicated variable ith node Langley Research Center Linear edge displacement Linear stress model load q Melosh ment Nancy Jane nodal variables number of elements one-dimensional order h order of error Papenfuss model Papenfuss psuedoplate plane stress elements plane stress equations plate bending elements Poisson's ratio principal error terms rate of convergence rotation segments stiffness matrix straight elements structural problems tangential Taylor series tion triangular element typical finite element uex(l wex(l y-directions