瀑布型多重网格法 meaning in Chinese
ecmg
Examples
- Finally , we consider a cascadic multigrid method for soiviag a nons . y mmetric elliptic differential equation with boundary conditions
最后，本文还应用瀑布型多重网格法来求解非对称椭圆微分方程边值问题。 - In this paper , based on a two - grid approach a multilevel linearization approach and a new cascadic multigrid method is proposed for the second order nonlinear elliptic boundary value problems
本文基于两网格离散技巧，对二阶非线性椭圆边值问题提出了多重网格线性化算法和一类新型的瀑布型多重网格法。 - Thus when we solve nonlinear elliptic problems with this algorithm , the complexity for linear and nonlinear problems is essentially equal . finally the numerical experiments also show the effectiveness of the method
这样，我们使用瀑布型多重网格法求解非线性椭圆问题时，可以保证其运算量与求解线性问题的运算量是相当的，数值实验也显示了该算法的有效性。 - The cascadic multigrid method has been shown to be one of the most efficient iterative techniques for solving large boundary value problems , the main advantage of which is coarse - grid - correction free , and as a result it can be viewed as a one - way multigrid method
瀑布型多重网格法是求解大型边值问题的一种有效的迭代解法，其主要优点是不要求粗网格校正，故又称单步多重网格法。 - 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。