Article ID Journal Published Year Pages File Type
4642013 Journal of Computational and Applied Mathematics 2009 12 Pages PDF
Abstract

We give some theoretical considerations on the the flux-free finite element method for the generalized Stokes interface problem arising from the immiscible two-fluid flow problems. In the flux-free finite element method, the flux constraint is posed as another Lagrange multiplier to keep the zero-flux on the interface. As a result, the mass of each fluid is expected to be preserved at every time step. We first study the effect of discontinuous coefficients (viscosity and density) on the error of the standard finite element approximations very carefully. Then, the analysis is extended to the flux-free finite element method.

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Physical Sciences and Engineering Mathematics Applied Mathematics
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