1 引言 多重网格作为求解椭圆偏微分方程的快速有效方法而倍受欢迎.多重网格方法有两大要素:一是光滑,二是粗网格校正.光滑能有效地减少误差的高频分量从而磨光误差;粗网格校正是在粗网格上逼近来减小误差.
Multigrid algorithms for solving multi-group neutron transport equations are studied in this papar. Local mode analysis of multilevel is performed for transport problems, the smoothing factor and multigrid factor of the multigrid algorithms for general PN approximate of neutron transport equation are calculated numerically. Numerical test calculations validate the theoretical predictions.