We establish an effective iteration method for solving the double saddle point problems arising from liquid crystal director modeling. The convergence property of the proposed iteration method is studied in detail and the induced preconditioner is used to accelerate the Krylov subspace iteration methods. Moreover, the spectral property of this preconditioned matrix is investigated. Numerical example validates the efficiency of the proposed preconditioner.

中文翻译：

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液晶导向器模型中双鞍点线性系统的预处理

我们建立了一种有效的迭代方法来解决液晶导向器建模引起的双鞍点问题。详细研究了所提迭代方法的收敛性，并利用诱导预条件子来加速Krylov子空间迭代方法。此外，研究了该预处理矩阵的光谱特性。数值示例验证了所提出的预处理器的效率。