A New Block Preconditioner for Double Saddle Point Systems Arising from Liquid Crystal Directors Modeling

Jian-Jun Zhang; Jia-Qi Liu

doi:10.1007/s42967-023-00361-y

Communications on Applied Mathematics and Computation ›› 2024 DOI: 10.1007/s42967-023-00361-y

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A New Block Preconditioner for Double Saddle Point Systems Arising from Liquid Crystal Directors Modeling

Jian-Jun Zhang¹^,²^,a ,
Jia-Qi Liu¹^,²

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Abstract

We develop and investigate a new block preconditioner for a class of double saddle point (DSP) problems arising from liquid crystal directors modeling using a finite element scheme. We analyze the spectral properties of the preconditioned matrix. Numerical results are provided to evaluate the behavior of preconditioned iterative methods using the new preconditioner.

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Jian-Jun Zhang, Jia-Qi Liu. A New Block Preconditioner for Double Saddle Point Systems Arising from Liquid Crystal Directors Modeling. Communications on Applied Mathematics and Computation, 2024 https://doi.org/10.1007/s42967-023-00361-y