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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 basis Bellman Carroll Computer Graphics convergence criteria cutout cycle defined degrees of freedom dimensional problems discretization error discussed displacements eigenvalue element grid optimization element residuals Engineering equations example problems 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 improved initial analysis initial grid initial mesh Interactive Computer Graphics interpolation isoenergetics isostatics iteration method keynodes linear Marcal matrix maximum McNeice Melosh method of grid near-optimum mesh nodal coordinates number of elements number of nodes obtained optimal grid Optimum Finite Element optimum mesh orthogonal curves polynomial order potential energy prob programming regions residual vector selected Self-Adaptive Shephard shown in Figure spline strain energy density stress subregion Synthesis techniques tion triangular elements triangulation Turcke uniform values variable