Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
권호 표지

THE EFFECT OF QUADRATURE ERRORS IN PRACTICE

  • Kim, Chang-Geun (Department of Mathematics, Research Institute of Basic Science, Kwangwoon University)
  • Received : 1998.05.27
  • Published : 1998.09.15
Download PDF
⟨ Previous Next ⟩

Abstract

In [3], we showed that overintegration may be needed to obtain the optimal $H^1$ error rate for the $p$ version. In this paper, we examine the convergence of the $p$ version in practice, and comment on the implementation of the $p$ version in commercial codes. Also, we give an example of a problem with extremely rough coefficients, for which overintegration is necessary to obtain the optimal $H^1$ convergence rate.

Keywords