Quadratic finite volume element method for the air pollution model
Quadratic finite volume element method for the air pollution model
复制标题
DOI：
10.1080/00207160802680663
复制
发表时间：
2010-10
影响因子：
1.8
通讯作者：
Ping Wang;Zhiyue Zhang
中科院分区：
文献类型：
--
作者：
Ping Wang;Zhiyue Zhang
本文利用二次有限体积元方法（FVEM）求解大气污染模型，选取试验函数空间为拉格朗日元函数空间，检验函数空间为分段常数函数空间，得到L2和H1的误差估计.最后，通过数值实验，对有限差分法和有限体积元法进行了分析比较，数值结果表明有限体积元法更好更有效，对大气污染的改善和控制具有一定的实际意义。
In this article, we use the quadratic finite volume element method (FVEM) to solve the problem of the air pollution model, choose the trial function spaces as the Lagrange quadratic element function spaces and the test function spaces as the piecewise constant function spaces, then get the error estimates of L 2 and H 1. Finally, by numerical experiments, we analyse and compare the FVEM with the finite difference method, and the numerical results we get show that the FVEM is much better and more effective, so this article has some practical significance in the improvement and control of air pollution.