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

作者：

Highlights：

• An adsorption dynamic model for surfactants is numerically studied.

• A priori error estimates are proved by using Gronwall’s inequality.

• Linear convergence is obtained using regularity and an interpolation operator.

• Numerical results show the accuracy and the peformance of the approximations.

摘要

•An adsorption dynamic model for surfactants is numerically studied.•A priori error estimates are proved by using Gronwall’s inequality.•Linear convergence is obtained using regularity and an interpolation operator.•Numerical results show the accuracy and the peformance of the approximations.

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

论文评审过程：Received 30 May 2013, Revised 3 September 2013, Available online 15 December 2014.

论文官网地址：https://doi.org/10.1016/j.cam.2014.11.063