| Issue |
ESAIM: M2AN
Volume 44, Number 4, July-August 2010
|
|
|---|---|---|
| Page(s) | 647 - 670 | |
| DOI | https://doi.org/10.1051/m2an/2010014 | |
| Published online | 23 February 2010 | |
Electrowetting of a 3D drop: numerical modelling with electrostatic vector fields
1
Laboratoire POEMS, UMR 7231 CNRS/ENSTA/INRIA,
ENSTA ParisTech,
32 boulevard Victor, 75739 Paris Cedex 15, France.
patrick.ciarlet@ensta.fr
2
CMA c/o Dept. of Math.,
University of Oslo,
P.O. Box 1053 Blindern,
0316 Oslo, Norway.
claire.scheid@cma.uio.no
3
Laboratoire Jean-Alexandre Dieudonné,
Université de Nice Sophia-Antipolis,
06108 Nice Cedex 02, France. Claire.SCHEID@unice.fr
Received:
26
March
2009
Revised:
16
October
2009
The electrowetting process is commonly used to handle very small amounts of liquid on a solid surface. This process can be modelled mathematically with the help of the shape optimization theory. However, solving numerically the resulting shape optimization problem is a very complex issue, even for reduced models that occur in simplified geometries. Recently, the second author obtained convincing results in the 2D axisymmetric case. In this paper, we propose and analyze a method that is suitable for the full 3D case.
Mathematics Subject Classification: 65N12 / 65N30 / 49Q10
Key words: Electrowetting / energy minimization / contact angle / error estimates
© EDP Sciences, SMAI, 2010
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