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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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Derivative superconvergent points in finite element solutions of Poisson’s equation for the serendipity and intermediate families - a theoretical justification
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by Zhimin Zhang PDF
Math. Comp. 67 (1998), 541-552 Request permission


Finite element derivative superconvergent points for the Poisson equation under local rectangular mesh (in the two dimensional case) and local brick mesh (in the three dimensional situation) are investigated. All superconvergent points for the finite element space of any order that is contained in the tensor-product space and contains the intermediate family can be predicted. In case of the serendipity family, the results are given for finite element spaces of order below 7. Any finite element space that contains the complete polynomial space will have at least all superconvergent points of the related serendipity family.
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Additional Information
  • Zhimin Zhang
  • Affiliation: Department of Mathematics, Texas Tech University, Lubbock, Texas 79409
  • MR Author ID: 303173
  • Email:
  • Received by editor(s): May 29, 1996
  • Additional Notes: This work was supported in part by NSF Grants DMS-9626193 and DMS-9622690.
  • © Copyright 1998 American Mathematical Society
  • Journal: Math. Comp. 67 (1998), 541-552
  • MSC (1991): Primary 65N30
  • DOI:
  • MathSciNet review: 1459393