Numerical behavior of a linear mixed kinetic-diffusion model for surfactant adsorption at the air-water interface

被引：2
|
作者：
Fernandez, Jose R. [1 ]
del Carmen Muniz, Maria [2 ]
Nunez, Cristina [2 ]
机构：
[1] Univ Vigo, ETSI Telecomunicac, Dept Matemat Aplicada 1, Vigo 36310, Spain
[2] Univ Santiago de Compostela, Dept Matemat Aplicada, Fac Matemat, Santiago De Compostela 15782, Spain
来源：
JOURNAL OF MATHEMATICAL CHEMISTRY | 2012年 / 50卷 / 02期
关键词：
Mixed kinetic-diffusion model; Surfactant; Adsorption dynamics; Finite element approximation; Numerical simulations; MECHANISMS; DYNAMICS; TENSION;
D O I：
10.1007/s10910-011-9899-z
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
This paper concerns the numerical behavior of the solution to a problem including a linear mixed kinetic-diffusion model for surfactant adsorption at the air-water interface. The existence and uniqueness of a weak solution is recalled. Then, fully discrete approximations are obtained by using a finite element method and the backward Euler scheme. Error estimates are stated from which, under adequate additional regularity conditions, the linear convergence of the algorithm is deduced. Finally, several numerical simulations are presented in order to demonstrate the behavior of the solution for commercially available surfactants.
引用
收藏
页码：429 / 438
页数：10
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