Abstract: A finite volume element method is used in an air pollution model.Trial function space and test function space are chosen linear element function space and piecewise constant function space,respectively.Error estimates of L² and H¹ are given.Numerical results of the finite volume element method and the finite difference method are analyzed and compared.It shows that the finite volume element method is much better and effective.

Key words: air pollution model, finite volume element method, the error estimate of L², the error estimate of H¹