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PDE/DE Seminar: A Mixed Finite Element Method for a Cahn-Hilliard-Darcy-Stokes System


SPEAKER: Ms Amanda Diegel, UTK

TITLE: A Mixed Finite Element Method for a Cahn-Hilliard-Darcy-Stokes System

ABSTRACT: I consider a mixed finite element method for a modified Cahn-Hilliard equation coupled with a non-steady Darcy-Stokes flow that modelsphase separation and coupled fluid flow in immiscible binary fluids anddiblock copolymer melts. The time discretization is based on a convexsplitting of the energy of the equation. We prove that our scheme isunconditionally energy stable with respect to a spatially discrete analogue of the continuous free energy of the system, unconditionallyuniquely solvable, and convergent with optimal rates in both two and threespace dimensions.

Monday, 28 October, 2013


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Phone: 974-2463

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