Boundary integral solution of potential problems arising in the modelling of electrified oil films

Autor:	Chappell, David J.
Rok vydání:	2014
Předmět:	Mathematics - Numerical Analysis Physics - Computational Physics 35J05 45B05 65N38 65R20
Druh dokumentu:	Working Paper
Popis:	We consider a class of potential problems on a periodic half-space for the modelling of electrified oil films, which are used in the development of novel switchable liquid optical devices (diffraction gratings). A boundary integral formulation which reduces the problem to the study of the oil-air interface alone is derived and solved in a highly efficient manner using the Nystr\"{o}m method. The oil films encountered experimentally are typically very thin and thus an interface-only integral representation is important for avoiding the near-singularity problems associated with boundary integral methods for long slender domains. The super-algebraic convergence of the proposed methods is discussed and demonstrated via appropriate numerical experiments. Comment: 20 pages, 3 figures, 3 tables. Submitted to Journal of Integral Equations and Applications
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1409.4608 Zobrazit plný text záznamu View this record from Arxiv