## Finite element grid optimization: presented at the third National Congress on Pressure Vessels and Piping, San Francisco, California, June 24-29, 1979 |

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### Contents

Finite Element Grid Optimization A Review | 1 |

Characteristics of Piecewise Approximations in Numerical Analysis | 15 |

Recent Developments Dealing with Optimum Finite Element Analysis Techniques | 27 |

Copyright | |

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### Common terms and phrases

adaptive mesh refinement algorithm applied approach approximation theory automatic Babuska Bellman Carroll Computerized Structural Analysis Computers and Structures convergence criteria cutout cycle defined degrees of freedom dimensional problems discretization error discussed displacements eigenvalue elastostatic Element Grid Optimization element residuals Engineering Engng equations equi-f curves finite difference Finite Element Analysis Finite Element Grid finite element meshes Finite Element Method finite element solution function global grid enrichment grid iteration procedure idealization initial mesh Interactive Computer Graphics isoenergetics isostatics iteration method keynodes linear Marcal matrix maximum McNeice Melosh method of grid near-optimum mesh nodal coordinates norm number of elements number of nodes obtained optimal grid Optimum Finite Element optimum mesh orthogonal curves Peano polynomial order potential energy programming regions residual vector Rheinboldt selected Self-Adaptive Shephard shown in Figure spline strain energy density stress subregion Synthesis techniques tion triangular elements Turcke uniform values variable