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

  • Jian-Jun Zhang,
  • Jia-Qi Liu

摘要

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.