Efficient iterative solvers for director-based models of liquid crystal devices
- When?
- Friday 28 May 2010, 16:00 to 17:00
- Where?
- 24AA04
- Open to:
- Staff, Students
- Speaker:
- Alison Ramage
Abstract: Whenever Lagrange multipliers are used for the pointwise unit-vector constraints in director modelling of liquid crystals, or in both director and order tensor models when an electric field that stems from a constant voltage is present, the resulting discretised equations take the form of saddle-point problems.
For the construction of bifurcation diagrams illustrating the various types of behaviour a particular device exhibits, these equations must be solved many times, so it is important that this is done as efficiently as possible. In this talk we discuss a preconditioned iterative solver particularly suited to director models and illustrate its performance on a model of a Twisted Nematic device.
This is joint work with Eugene C. Gartland, Jr., Department of Mathematical Sciences, Kent State University.
