椭圆边值问题

• On the other hand , with traditional iterations and the conjugate gradient ( cg ) as smoothers , we can show the optimal convergence rate of the cascadic method in energy norm for 1 - d and 2 - d cases . when the mesh level is arbitrary , we use a duality argument and obtain the quasi - optimality of the algorithm only for 2 - d problems
  另一方面，采用传统迭代子和共轭梯度法作为光滑子，我们证明了瀑布型多重网格法对一、二维非线性椭圆边值问题，在能量范数下，均可获得最优收敛阶。