四边形网格上抛物型方程广义差分法的L^2模误差估计

Generalized Difference Methods on Arbitrary Quadrilateral Networks for Parabolic Equations

对一类抛物型方程建立了四边形网格剖分上的半离散和全离散广义差分格式.在一定条件下,作者得到了最优的L2模误差估计.

Both the continuous-time and two fully discrete generalized difference schemes on arbitrary quadrilateral networks for a kind of parabolic equations are established. And the optimal L^2-norm error estimates are obtained.