Abstract
The shape of the surface of a liquid inside a cylindrical tube of general cross-section is approximated by the simplest finite element method. Some a priori estimates are obtained for the approximate solution. Then convergence including pointwise estimates is proved as for uniformly elliptic problems. The analysis also covers the case with a volume contraint. Some numerical results are given.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 141-148 |
| Number of pages | 8 |
| Journal | Computing |
| Volume | 18 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jun 1 1977 |
| Externally published | Yes |
ASJC Scopus subject areas
- Software
- Theoretical Computer Science
- Numerical Analysis
- Computer Science Applications
- Computational Theory and Mathematics
- Computational Mathematics