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 language | English (US) |
|---|---|
| Pages (from-to) | 1-20 |
| Number of pages | 20 |
| Journal | Mathematics of Computation |
| Volume | 59 |
| Issue number | 199 |
| DOIs | |
| State | Published - Jul 1992 |
ASJC Scopus subject areas
- Algebra and Number Theory
- Computational Mathematics
- Applied Mathematics