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七、强隐式迭代法(SIP) 逐次超松弛迭代法(SOR)虽具有很多优点,但它的收敛速度对结点个数、所解问题的性质及边界条件仍比较敏感。在结点数量大,或问题比较不利的情况下,SOR的收敛速度会显著降低。强隐式法(SIP)是1968年Stone,H.L.提出的一种很接近直接解法的迭代方法。这种方法的突出优点是对问题的性质及结点数量不太敏感,收敛速度较快,而且迭代参数事先可以估计出来。在采用规则网格的条件下,SIP是目前解较大型问题最为有效的方法。但SIP每次迭代
Strong Implicit Iteration (SIP) Although successive over-relaxation iterative method (SOR) has many advantages, its convergence rate is still sensitive to the number of nodes, the nature of the problem to be solved and the boundary conditions. When the number of nodes is large or the problem is unfavorable, the convergence speed of SOR will be significantly reduced. Strong implicit method (SIP) is an iterative method proposed by Stone, H.L. in 1968, which is very close to direct solution. The salient advantages of this method are less sensitive to the nature of the problem and the number of nodes, faster convergence, and the iteration parameters can be estimated in advance. With rules grids, SIP is the most effective way to solve larger problems today. But SIP every iteration