A preconditioned nullspace method for liquid crystal director modeling

Alison Ramage*, Eugene C. Gartland Jnr.

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)


We present a preconditioned nullspace method for the numerical solution of large sparse linear systems that arise from discretizations of continuum models for the orientational properties of liquid crystals. The approach effectively deals with pointwise unit-vector constraints, which are prevalent in such models. The indefinite, saddle-point nature of such problems, which can arise from either or both of two sources (pointwise unit-vector constraints, coupled electric fields), is illustrated. Both analytical and numerical results are given for a model problem.

Original languageEnglish
Pages (from-to)B226-B247
Number of pages22
JournalSIAM Journal on Scientific Computing
Issue number1
Publication statusPublished - 22 Apr 2013


  • liquid crystals
  • nullspace method
  • saddle-point problems
  • unit-vector constraints


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