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# Analysis of finite element approximations of a phase field model for two-phase fluids

@article{Feng2007AnalysisOF, title={Analysis of finite element approximations of a phase field model for two-phase fluids}, author={Xiaobing Feng and Yinnian He and Chun Liu}, journal={Math. Comput.}, year={2007}, volume={76}, pages={539-571} }

- Published 2007 in Math. Comput.
DOI:10.1090/S0025-5718-06-01915-6

This paper studies a phase field model for the mixture of two immiscible and incompressible fluids. The model is described by a nonlinear parabolic system consisting of the nonstationary Stokes equations coupled with the Allen-Cahn equation through an extra phase induced stress term in the Stokes equations and a fluid induced transport term in the Allen-Cahn equation. Both semi-discrete and fully discrete finite element methods are developed for approximating the parabolic system. It is shown… CONTINUE READING

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