A finite element method for capillary surfaces with volume constraints

DOI10.1016/0021-9991(90)90229-TzbMath0687.76015OpenAlexW2047781375MaRDI QIDQ1263395

Ulrich Hornung, Hans D. Mittelmann

Publication date: 1990

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(90)90229-t

zbMATH Keywords

variational problemEuler-Lagrange equationCapillary surfaces

Mathematics Subject Classification ID

Capillarity (surface tension) for incompressible inviscid fluids (76B45) Basic methods in fluid mechanics (76M99)

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A Shape Newton Scheme for Deforming Shells with Application to Capillary Bridges, Lagrange multipliers and variational methods for equilibrium problems of fluids, Shear flow over a liquid drop adhering to a solid surface

Cites Work

• On the approximation of capillary surfaces in a gravitational field
• A contribution to the numerical approximation of minimal surfaces
• Solution of Sparse Indefinite Systems of Linear Equations
• Numerical Solution of Plateau's Problem by a Finite Element Method
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