基于有限体积元方法的大气污染L^2估计

The L^2 Error Estimate of the the Air Pollution Model by the Finite Volume Element Methods

文中用有限体积元方法来研究二维大气污染模式问题,选取试探函数空间为一次元函数空间,检验函数空间为分片常数函数空间,得到了全离散有限体积一次元格式,并对之进行了误差分析,给出了L2估计,结果表明由这种方法得到的数值解能有效地逼近精确解,具有一定的现实意义.

In this paper,using the finite volume element method solved the problem of the air pollution model in two-dimensional,choose the trial function space and the test function space as linear element function space and piecewise constant function space respectively,a fully-discrete finite volume element scheme of the air pollution model was got,and the error estimate of L2 was givpn,the result showed that the numerical solution obtained by this method approach the exact solution effectively,and has practical significance.