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- W2084103670 abstract "A capillary surface in a negative gravitational field describes the shape of the surface of a hanging drop in a capillary tube with wetting material on the bottom. Mathematical modeling leads to the volume- and obstacle-constrained minimization of a nonconvex nonlinear energy functional of mean curvature type which is unbounded from below. In 1984 Huisken proved the existence and regularity of local minimizers of this energy under the condition on gravitation being sufficiently weak. We prove convergence of a first order finite element approximation of these minimizers. Numerical results demonstrating the theoretic convergence order are given." @default.
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- W2084103670 date "2013-01-01" @default.
- W2084103670 modified "2023-09-24" @default.
- W2084103670 title "Numerical approximation of capillary surfaces in a negative gravitational field" @default.
- W2084103670 doi "https://doi.org/10.4171/ifb/303" @default.
- W2084103670 hasPublicationYear "2013" @default.
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