The effect of numerical quadrature in the p-version of the finite element method

Uday Banerjee, Manil Suri

Research output: Contribution to journalArticle

18 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)1-20
Number of pages20
JournalMathematics of Computation
Volume59
Issue number199
DOIs
StatePublished - 1992

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics

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