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On the Stable Numerical Approximation of Two-Phase Flow with Insoluble Surfactant
John W. Barrett, Harald Garcke, Robert Nürnberg
We present a parametric finite element approximation of two-phase flow with insoluble surfactant. This free boundary problem is given by the Navier--Stokes equations for the two-ph…
A Stable Parametric Finite Element Discretization of Two-Phase Navier--Stokes Flow
John W. Barrett, Harald Garcke, Robert Nürnberg
We present a parametric finite element approximation of two-phase flow. This free boundary problem is given by the Navier--Stokes equations in the two phases, which are coupled via…
Sandpiles and Superconductors: Nonconforming Linear Finite Element Approximations for Mixed Formulations of Quasi-Variational Inequalities
John W. Barrett, Leonid Prigozhin
Similar evolutionary variational and quasi-variational inequalities with gradient constraints arise in the modeling of growing sandpiles and type-II superconductors. Recently, mixe…
Eliminating Spurious Velocities with a Stable Approximation of Viscous Incompressible Two-Phase Stokes Flow
John W. Barrett, Harald Garcke, Robert Nürnberg
We present a parametric finite element approximation of two-phase flow. This free boundary problem is given by the Stokes equations in the two phases, which are coupled via jump co…