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)

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The effect of numerical quadrature in the $p$-version of the finite element method
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by Uday Banerjee and Manil Suri PDF
Math. Comp. 59 (1992), 1-20 Request permission

Abstract:

We investigate the use of numerical quadrature in the p-version of the finite element method. We describe a set of minimal conditions that the quadrature rules should satisfy, for various types of elements. Under sufficient assumptions of smoothness, we establish optimality of the asymptotic rate of convergence. Some computational results are presented, which illustrate under what conditions overintegration may be useful.
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Math. Comp. 59 (1992), 1-20
  • MSC: Primary 65D30; Secondary 65N30
  • DOI: https://doi.org/10.1090/S0025-5718-1992-1134712-5
  • MathSciNet review: 1134712