Superconvergence and Finite Element Post Processing

G. F. Carey and R. J. MacKinnon
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G. F. Carey: The University of Texas at Austin
R. J. MacKinnon: The University of Texas at Austin

Chapter S19 in Numerical Techniques for Engineering Analysis and Design, 1987, pp 705-713 from Springer

Abstract: Summary We consider several practical and theoretical issues concerning point superconvergence of finite-element solutions and derivatives. This includes the development of special ‘extraction’ or post-processing formulas for improving solution accuracy (an example is flux post processing). Some new theoretical ideas and an analysis based on Taylor series expansions are introduced and lead to new superconvergence results and a class of post-processing formulas. This analysis method affords a more direct constructive approach to the subject and brings out some common misconceptions regarding superconvergence points.

Date: 1987
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DOI: 10.1007/978-94-009-3653-9_77

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