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) |
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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