一维大气污染模式的特征有限体积H^1估计

The H^1 Error Estimation of Finite Volume Element Methods along Characteristics for the Air Pollution Model in One-Dimension

把特征线理论用在有限体积元方法中,用它来研究污染物在大气中的扩散规律,选取一次元函数空间为试探函数空间,分片常数函数空间为检验函数空间,得到大气污染模式的全离散特征有限体积一次元格式,并进行了H1估计,结果表明该方法具有更好的有效性。

Combining the characteristics with the finite volume element methods, use it to study the diffusion regularity of the pollutants in the atmosphere, choose the trial function space and the test function space as linear element function space and pieeewise constant function space respectively, get a fully - discrete finite volume element scheme alog characteristics of the air pollution model, method is much better and effectiveness. and qive the error estimate ofH1 , the result shows that this