A modified finite element method for determining equilibrium capillary surfaces of liquids with specified volumes

DOI<link itemprop=identifier href="https://doi.org/10.1002/1097-0363(20000730)33:6<833::AID-FLD33>3.0.CO;2-1" /><833::AID-FLD33>3.0.CO;2-1 10.1002/1097-0363(20000730)33:6<833::AID-FLD33>3.0.CO;2-1zbMath0986.76044OpenAlexW1985051832MaRDI QIDQ4506281

Ping S. Lee, Benjamin P. Zellmer, Nicholas J. Nigro, Dongkai Shangguan

Publication date: 30 January 2001

Full work available at URL: https://doi.org/10.1002/1097-0363(20000730)33:6<833::aid-fld33>3.0.co;2-1

zbMATH Keywords

unconstrained optimizationrigid boundarymodified finite element methodparametric interpolationprescribed volumeintegral constraint equationstatic equilibrium capillary surface

Mathematics Subject Classification ID

Capillarity (surface tension) for incompressible inviscid fluids (76B45) Variational methods applied to problems in fluid mechanics (76M30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (1)

Behavior of liquid menisci formed during the extraction of a vertical rod from the free surface of a liquid contained in a finite basin (Part 1)

Cites Work

• Unnamed Item
• A contribution to the numerical approximation of minimal surfaces
• On approximating extremals of functionals. II: Theory and generalizations related to boundary value problems for nonlinear differential equations
• `` Direct Search Solution of Numerical and Statistical Problems

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