Mixed finite element method for electrowetting on dielectric with contact line pinning

DOI10.4171/IFB/228zbMath1189.78056MaRDI QIDQ962980

Shawn W. Walker, Ricardo H. Nochetto, Andrea Bonito

Publication date: 8 April 2010

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/all_issues.php?issn=1463-9963

zbMATH Keywords

mixed finite element methodelectrowettingpinning of vortices

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Other free boundary flows; Hele-Shaw flows (76D27) Variational methods applied to problems in optics and electromagnetic theory (78M30)

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Shape optimization of self-avoiding curves ⋮ Optimal Control of a Free Boundary Problem with Surface Tension Effects: A Priori Error Analysis ⋮ On the directional differentiability of the solution mapping for a class of variational inequalities of the second kind ⋮ FELICITY: A Matlab/C++ Toolbox for Developing Finite Element Methods and Simulation Modeling ⋮ Variational formulations for surface tension, capillarity and wetting ⋮ Optimal control of geometric partial differential equations ⋮ On uniqueness results for an elliptic‐parabolic‐system of partial differential equations arising in dynamic electrowetting ⋮ A hybrid variational front tracking-level set mesh generator for problems exhibiting large deformations and topological changes ⋮ Droplet Footprint Control ⋮ A DIFFUSE INTERFACE MODEL FOR ELECTROWETTING WITH MOVING CONTACT LINES

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