Lesson 19

A Theoretical Foundation for Pointwise Evaluation Measures

Purpose of Lesson To provide a theoretical foundation for two types of pointwise evaluation measures: (1) those based on stress differences between the smoothed and the finite element stresses (see Lesson 18) and (2) those based on residuals contained in the augmented solution.

In this lesson, the displacements of the augmented finite element solution formed in Lesson 17 are interpreted as an approximate finite difference result. Since the finite element and the actual finite difference solutions must converge to the same result as the discrete model is refined, the amount by which the augmented finite element solution fails to represent an actual finite difference result, ...

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