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

Monday, 28 October, 2013

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 models phase separation and coupled fluid flow in immiscible binary fluids and diblock copolymer melts. The time discretization is based on a convex splitting of the energy of the equation. We prove that our scheme is unconditionally energy stable with respect to a spatially discrete analogue of the continuous free energy of the system, unconditionally uniquely solvable, and convergent with optimal rates in both two and three space dimensions.

Venue

Ayres Hall
Room 113
1403 Circle Drive
Knoxville, TN 37996
USA

Event Contact


Phone: 974-2463

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