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) |
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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