The paper is devoted to Krylov type modifications of the Uzawa method on the operator level for the Stokes problem in order to accelerate convergence. First block preconditioners and their effect on convergence are studied. Then it is shown that a Krylov–Uzawa iteration produces superlinear convergence on smooth domains, and estimation is given on its speed.

中文翻译：

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斯托克斯型算子矩阵的 Uzawa 方法的 Krylov 改进

该论文致力于在斯托克斯问题的算子级别对 Uzawa 方法进行 Krylov 类型的修改，以加速收敛。研究了第一块预处理器及其对收敛的影响。然后证明 Krylov-Uzawa 迭代在平滑域上产生超线性收敛，并对其速度进行估计。