Abstract
The discrete maximum principle for finite element approximations of standard elliptic problems in the plane is discussed. Even in the case Δu=0 a slightly stronger version of the principle does not hold with piecewise quadratic elements for all but some very special triangularisation geometries.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 145-154 |
| Number of pages | 10 |
| Journal | Computing |
| Volume | 27 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jun 1 1981 |
| Externally published | Yes |
ASJC Scopus subject areas
- Software
- Theoretical Computer Science
- Numerical Analysis
- Computer Science Applications
- Computational Theory and Mathematics
- Computational Mathematics