Finite-element methods for the calculation of capillary surfaces

DOI10.1016/0021-9991(79)90017-2zbMath0427.76038OpenAlexW2093304198MaRDI QIDQ1136544

Robert A. Brown

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-9991(79)90017-2

zbMATH Keywords

Galerkin methodscapillary surfacesrelative efficienciesnonlinear elliptic partial differential equationbilinear, reduced quadratic, biquadratic and Hermite bicubic finite-element interface approximationsinterface between two immiscible fluids

Mathematics Subject Classification ID

Incompressible viscous fluids (76D99) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Cites Work

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• On the approximation of capillary surfaces in a gravitational field
• Numerical solution of nonlinear elliptic partial differential equations by a generalized conjugate gradient method
• Finite element approximation of a nonlinear diffusion problem
• A Galerkin Method for a Nonlinear Dirichlet Problem
• Numerical Solution of the Minimal Surface Equation