On the approximation of capillary surfaces in a gravitational field

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… (More)
DOI: 10.1007/BF02243623

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