A mixed finite element method for EWOD that directly computes the position of the moving interface

Document Type

Article

Publication Date

7-29-2013

Abstract

A new mixed finite element method is proposed and analyzed for simulating twophase droplet motion in a microscale device driven by electrowetting-on- dielectric. The new feature of the method is that the finite element scheme is based on a weak formulation of the problem which includes the position of the moving interface and the curvature of its boundary as basic unknowns to be determined along with the velocity field and pressure. Well-posedness of the semidiscrete and fully discrete formulations and error estimates with minimal regularity assumptions are proved. Numerical examples are given to illustrate the robustness of the method. © 2013 Society for Industrial and Applied Mathematics.

Publication Source (Journal or Book title)

SIAM Journal on Numerical Analysis

First Page

1016

Last Page

1040

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