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

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Chapter 9

MODELING CHARACTERISTICS AND EFFICIENCIES OF HIGHER ORDER ELEMENTS

9.1 INTRODUCTION

In the previous chapters, the errors in finite element models are shown to result when the basis set of an element is unable to capture the complexity of the exact solution that exists on the domain of the element. This means that a higher order element can represent a larger portion of a complex solution with the same accuracy as a lower order element. As a result, we will see that the higher order elements can produce more efficient strain representations for a given level of accuracy than lower order elements.

The ability of higher order elements to better represent a critical portion of a complex strain distribution is shown in Fig. 9.1. A typical ...

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