On the approximation of capillary surfaces in a gravitational field

Research output: Contribution to journalArticle

11 Scopus citations

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 languageEnglish (US)
Pages (from-to)141-148
Number of pages8
JournalComputing
Volume18
Issue number2
DOIs
StatePublished - Jun 1 1977
Externally publishedYes

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Numerical Analysis
  • Computer Science Applications
  • Computational Theory and Mathematics
  • Computational Mathematics

Fingerprint Dive into the research topics of 'On the approximation of capillary surfaces in a gravitational field'. Together they form a unique fingerprint.

  • Cite this