Block preconditioners for saddle point systems arising from liquid crystal directors modeling
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We analyze two types of block preconditioners for a class of saddle point problems arising from the modeling of liquid crystal directors using finite elements. Spectral properties of the preconditioned matrices are investigated, and numerical experiments are performed to assess the behavior of preconditioned iterations using both exact and inexact versions of the preconditioners.
KeywordsLiquid crystals Saddle point problems Krylov subspace methods Preconditioning
Mathematics Subject Classification65F10 65F08 65F50
We would like to thank Alison Ramage for providing the test problems used in the numerical experiments. The first author is grateful for the hospitality of the Department of Mathematics and Computer Science at Emory University, where this work was completed.