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Superconvergence and Finite Element Post Processing

In: Numerical Techniques for Engineering Analysis and Design

Author

Listed:
  • G. F. Carey

    (The University of Texas at Austin)

  • R. J. MacKinnon

    (The University of Texas at Austin)

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.

Suggested Citation

  • G. F. Carey & R. J. MacKinnon, 1987. "Superconvergence and Finite Element Post Processing," Springer Books, in: G. N. Pande & J. Middleton (ed.), Numerical Techniques for Engineering Analysis and Design, chapter 0, pages 705-713, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-3653-9_77
    DOI: 10.1007/978-94-009-3653-9_77
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