Numerical analysis of an adsorption dynamic model at the air-water interface

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:281

Article

Copetti, M. I. M.¹  Fernandez, J. R.²  Muniz, M. C.³  Nunez, C.³ 

[1] Univ Fed Santa Maria, Dept Matemat, Lab Analise Numer & Astrofis, BR-97105900 Santa Maria, RS, Brazil

[2] Univ Vigo, Dept Matemat Aplicada 1, ETSI Telecomun, Vigo 36310, Spain

[3] Fac Ciencias Educ, Dept Didact Ciencias Expt, Santiago De Compostela 15782, Spain

关键词: Adsorption dynamic model;    Surfactant;    Langmuir isotherm;    Finite element approximation;    Error estimates;    Numerical simulations;   

DOI  :  10.1016/j.cam.2014.11.063

来源: Elsevier

【 摘 要 】

In this paper we deal with the numerical analysis of an adsorption dynamic model arising in a surfactant solution at the air-water interface; the diffusion model is considered together with the so-called Langmuir isotherm. An existence and uniqueness result is stated. Then, fully discrete approximations are introduced by using a finite element method and a hybrid combination of backward and forward Euler schemes. Error estimates are proved from which, under adequate additional regularity conditions, the linear convergence of the algorithm is derived assuming,a dependence between both spatial and time discretization parameters. Finally, some numerical simulations are presented in order to demonstrate the accuracy of the algorithm and the behaviour of the solution for two commercially available surfactants. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free