标题：Numerical analysis of the second-order characteristic FEM for nonlinear aerosol dynamic equations
作者：Cui, Ming; Fu, Kai; Liang, Dong; Cheng, Yu; Wang, Wenqia
作者机构：[Cui, Ming; Fu, Kai; Liang, Dong; Cheng, Yu; Wang, Wenqia] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China.; [Fu, Kai; Liang, Dong] 更多
通讯作者地址：[Liang, D]York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, Canada.
来源：JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
关键词：Aerosol dynamics; Condensation; Nonlinear coagulation; Characteristics;; Characteristic extrapolation; High-order accuracy
摘要：Aerosol modeling is very important to study the behavior of aerosol dynamics in atmospheric environment. In this paper we consider the nonlinear aerosol dynamic equations on time and particle size, which involve the advection condensation process and the nonlinear coagulation process. For solving accurately the multiple sharp log-normal aerosol distributions, we study and analyze the second order characteristic finite element method for the aerosol dynamic equations. We strictly prove that the developed method has second-order accuracy in time. The scheme improves the first-order accuracy in time comparing to the classical characteristic method. Numerical experiments for the multiple log-normal aerosol distributions are further given to confirm the theoretical results. (C) 2013 Elsevier B.V. All rights reserved.