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<p>We propose a new block upper triangular preconditioner tailored for a specific class of double saddle point problems arising from the modeling of liquid crystal directors using a finite element scheme. Spectral properties of the preconditioned matrix are investigated. The convergence rate of the preconditioned GMRES method is analyzed. Numerical experiments are conducted to evaluate the performance of the new preconditioner, and the results validate the efficiency of the proposed preconditioner.</p>

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A new block upper triangular preconditioner for double saddle point systems arising from liquid crystal directors modeling

  • 期刊论文

  • 发表日期：

    2025年2月4日

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  • Jian-Jun Zhang

摘要

We propose a new block upper triangular preconditioner tailored for a specific class of double saddle point problems arising from the modeling of liquid crystal directors using a finite element scheme. Spectral properties of the preconditioned matrix are investigated. The convergence rate of the preconditioned GMRES method is analyzed. Numerical experiments are conducted to evaluate the performance of the new preconditioner, and the results validate the efficiency of the proposed preconditioner.