On the approximation of capillary surfaces in a gravitational field

H. D. Mittelmann

doi:10.1007/BF02243623

On the approximation of capillary surfaces in a gravitational field

H. D. Mittelmann

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	141-148
Number of pages	8
Journal	Computing
Volume	18
Issue number	2
DOIs	https://doi.org/10.1007/BF02243623
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

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AB - 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.

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On the approximation of capillary surfaces in a gravitational field

Abstract

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