3D model of a droplet in an electric field

Mathematics and Computers in Simulation

Volumn 66, Issue 6, 2004, Pages 539-549

  Langemann, Dirk ^a   Krüger, Marcel ^a  

^a UNIVERSITY OF ROSTOCK   (Germany)

Author keywords

Droplets; Free boundary value problem in 3D; Insulators; Numerical analysis; Stationary electric field

Indexed keywords

AGING OF MATERIALS; BOUNDARY VALUE PROBLEMS; ELECTRIC FIELD EFFECTS; HYDROPHOBICITY; MATHEMATICAL MODELS; MOISTURE; NUMERICAL ANALYSIS; RAIN;

DROPLETS; FREE BOUNDARY VALUE PROBLEM IN 3D; INSULATORS; STATIONARY ELECTRIC FIELDS;

DROP FORMATION;

EID: 3142774324     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2004.04.004     Document Type: Article

References (18)

1. W.F. Ames, Numerical Methods for Partial Differential Equations, Academic Press, Boston, 1992.
2. Frischmuth K., M.Hänler, Numerical analysis of the closed osmometer problem. ZAMM. 79(2):1999;107-116.
3. S. Fucik, A. Kufner, Nonlinear Differential Equations, Elsevier, Amsterdam, 1980.
4. E. Grimsehl, Lehrbuch der Physik, Band 1, Course on Theoretical Physics, vol. 1, Teubner, Leipzig, 1987.
5. E. Grimsehl, Lehrbuch der Physik, Band 2, Course on Theoretical Physics, vol. 2, Teubner, Leipzig, 1987.
6. E. Hairer, G.Wanner, Solving Ordinary Differential Equations. Part 2. Stiff and Differential-Algebraic Problems, Springer, Berlin, 1991.
7. A. Iske, E. Quak, M.S. Floater (Eds.), Tutorials on Multiresolution in Geometric Modelling, Springer, Berlin, 2002.
8. S. Keim, D. König, Study of the behavior of droplets on polymeric surfaces under the influence of an applied electrical field, in: Proceedings of the IEEE Conference on Electrical Insulation and Dielectric Phenomena, Austin, 17-20 October 1999, pp. 707-710.
9. L.D. Landau, E.M. Lifschitz, The Classical Theory of Fields, Butterworth, Washington DC, 1997.
10. Langemann D., A droplet in a stationary field. Math. Comput. Simulation. 63(6):2003;529-539.
11. D. Langemann, The free transmission problem for a water droplet, in: Proceedings of the Fourth International Conference on Large-Scale Scientific Computing, Sozopol, Bulgaria, 4-9 June 2003.
12. V.G. Mazja, S.A. Nazarov, B.A. Plamenevskij, Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Pertubated Domains, Birkhäuser, Basel, 2000.
13. van Rienen U., Clemens M., Wendland T., Simulation of Low-Frequency Fields on Insulators with Light Contaminations. IEEE Trans, Magn. 32(3):1996;816-819.
14. U. van Rienen, Lineare Gleichungssysteme in der numerischen Feldberechnung (Systems of linear equations in the numerical computation of fields), Habilitation, TU Darmstadt, 1996.
15. U. Schreiber, U. van Rienen, Simulation of the behavior of droplets on polymeric surfaces under the influence of an applied electrical field, in: Proceedings of the Ninth Biennial IEEE Conference CEFC, Milwaukee, 4-7 June 2000.
16. J.A. Sethian, Level Set Methods: Evolving Interfaces in Geometry, Fluid Mechanics, Computer Vision and Material Science, Cambridge University Press, Cambridge, 1998.
17. D. Shepard, A two-dimensional interpolation function for irregularly-spaced data, in: Proceedings of the ACM National Conference, 1968, pp. 517-524.
18. H. Späth, Two-Dimensional Spline Interpolation Algorithms, Wellesley, 1995.