一类拟线性Sobolev方程的矩形网格混合体积元方法

THE MIXED COVOLUME METHOD ON RECTANGULAR GRIDS FOR A CLASS SEMI- LINEAR SOBOLEV EQUATIONS

讨论了一类二阶拟线性Sobolev方程初边值问题的混合体积元方法，给出了在矩形网格剖分下的混合体积元格式，得到了离散解的最优H（div）模和L^2模误差估计．

We consider the mixed covolume method for the initial - boundary problem of a class semi - linear Sobolev equations, construct the discrete scheme and obtain the optimal error estimates of the approximate solution in H（div） - norm and L2 - norm.