A Finite Element Analysis of a Linearized Problem of the Navier--Stokes Equations with Surface Tension

DOI10.1137/S0036142997329098zbMath0993.76048MaRDI QIDQ4509672

Daisuke Tagami, Masahisa Tabata

Publication date: 19 October 2000

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

triangulationHilbert spacestrengthened Sobolev spaceDirichlet conditionsfinite element methodssurface tensionperiodicity conditionsoperator formulationlinearized stationary Navier-Stokes equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Capillarity (surface tension) for incompressible viscous fluids (76D45)

Related Items (2)

A Posteriori Error Estimates for the Stationary Navier--Stokes Equations with Dirac Measures ⋮ A fictitious domain approach for a mixed finite element method solving the two-phase Stokes problem with surface tension forces

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