Abstract
This paper describes an algorithm for evaluating structural responses of zero grid-interval finite element models. It defines the analysis steps for extrapolating response values and for verifying the consistency of these values with assumptions of the procedure. It illustrates the features of the procedure by reporting experience with the algorithm for problems which involve approximating boundary conditions, and the original and deformed geometry. At its best, the algorithm leads to response estimates which have a residual precision commensurate with the calculation round-off error, which penalizes computer resource needs by orders-of-magnitude fewer calculations than direct finite element analysis for refined grids, and which furnishes new analysis methods and results for interpreting the accuracy of finite element analysis.
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