Abstract For elliptic boundary value problems (the diffusion equation and elasticity theory ones) with highly varying coefficients, there are proposed iterative methods with the number of iterations independent of the coefficient jumps. In the differential case these methods take solving the boundary value problem for the Poisson equation at each step of iterations while in the finite difference (finite element) approximation it is possible to use another operator as a preconditioner.

中文翻译：

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椭圆边值问题的迭代求解方法

摘要 针对系数变化较大的椭圆边值问题（扩散方程和弹性理论问题），提出了迭代次数与系数跳跃无关的迭代方法。在微分情况下，这些方法在迭代的每一步求解泊松方程的边值问题，而在有限差分（有限元）近似中，可以使用另一个算子作为预处理器。