%0 Journal Article
%T Electrowetting of a 3D drop: Numerical modelling with electrostatic vector fields
%+ Propagation des Ondes : Étude Mathématique et Simulation (POEMS)
%+ Center of Mathematics for Applications [Oslo] (CMA)
%+ Laboratoire Jean Alexandre Dieudonné (JAD)
%A Ciarlet, Patrick
%A Scheid, Claire
%< avec comité de lecture
%@ 0764-583X
%J ESAIM: Mathematical Modelling and Numerical Analysis
%I EDP Sciences
%V 44
%N 4
%P 647-670
%8 2010
%D 2010
%R 10.1051/m2an/2010014
%K Electrowetting
%K energy minimization
%K contact angle
%K error estimates
%Z Mathematics Subject Classification: 65N12; 65N30; 49Q10
%Z Mathematics [math]/Numerical Analysis [math.NA]Journal articles
%X 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. © EDP Sciences, SMAI, 2010.
%G English
%L hal-00873057
%U https://hal-ensta-paris.archives-ouvertes.fr/hal-00873057
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