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

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Chapter 2

AN OVERVIEW OF FINITE ELEMENT MODELING CHARACTERISTICS

2.1 Introduction

The introductory chapter includes an overview of the errors that can exist in finite element results as a consequence of replacing the continuum with a discrete representation. Figure 1.3, which is reproduced here as Fig. 2.1, identifies two salient characteristics of the errors that can result from this discretization of a continuous problem.

As can be seen in Fig. 2.1, the first characteristic of these errors is the existence of interelement jumps in the finite element strain representation. In Chapter 4, we show that the interelement jumps are directly related to the failure of the finite element solution to satisfy the governing differential equation being ...

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