Quadratic finite volume element method for the air pollution model

Abstract

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.

Keywords:

• air pollution model
• quadratic finite volume element
• error estimate

2000 AMS Subject Classifications:

• 65M12
• 65N12
• 76N15
• 86A10
• 75N15

Acknowledgements

This project is supported by NSF of Jiangsu Provincial of China (No.BK2008426) and Nanjing Normal University after Overseas Studies (NO: 2008101XLH0046).