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The Essentials of Finite Element Modeling and Adaptive Refinement by John O. Dow

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Chapter 7

STRAIN ENERGY-BASED ERROR ESTIMATORS—THE Z/Z ERROR ESTIMATOR

7.1 INTRODUCTION

In the previous chapter, the adaptive refinement procedure is applied to several problems. As was apparent in these examples and as can also be seen in the schematic diagram shown in Fig. 7.1, the critical component of the adaptive refinement process is the error analysis operation.

After the initial model is formed and solved, the errors in the finite element solution are quantified with an error estimator. Then, on the basis of the error analysis, the finite element solution is evaluated. If each element in the model satisfies the evaluation criterion, the analysis is stopped. If any elements do not pass the evaluation, the model is refined in the regions ...

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