反应扩散模型的交替方向Galerkin方法及其理论分析

GALERKIN ALTERNATING-DIRECTION METHOD AND ERROR ANALYSIS FOR A REACTION-DIFFUSION MODEL

考虑地下水运移过程中发生的一类化学反应的数学模型 .利用交替方向Galerkin方法逼近模型 (P)的解 ,并利用微分方程先验估计理论和技巧 ,进行近似解的收敛性分析 ,得到其最优L2 模误差估计 .

A Mathematical model for some chemical reactions which take place in Groundwater is dealt with.Galerkin alternating direction methods are introduced for approximating the solutions of (P).Besides,the analyses of the convergence for the approximating solutions and the optimal order error estimates in L 2 are demonstrated by taking advantage of the priori estimate theory and technique of differential eqution.