Volume 34, pp. 170-186, 2008-2009.

On the discrete solution of the generalized Stokes problem in one time-step for two phase flow

Wilfredo Angulo and Hilda López

Abstract

In this paper, we demonstrate the existence, uniqueness, and uniform stability of the discrete solution obtained with the nonconforming Crouzeix-Raviart/$P_0$ finite element for a generalized Stokes problem of a two-phase flow in one time-step.

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Key words

two-phase flow, Stokes problem, discrete solution, finite element

AMS subject classifications

15A15, 15A09, 15A23