38 citations · 47 across the 6 of their papers we have counts for
7 papers
Augmented Lagrangian preconditioning for a simplified Ericksen--Leslie model of nematic liquid crystals
Yanying Li, Xu Qian, Jingmin Xia
The numerical solution of the simplified Ericksen--Leslie model for nematic liquid crystals is challenging because the flow and director equations are strongly coupled and because…
Penalty-scaling effects in nonsymmetric interior-penalty DG discretizations of viscous rotating shallow-water equations
Xue Zhang, Jingmin Xia, Xu Qian
We investigate how the scaling of the interior-penalty parameter affects nonsymmetric interior-penalty Galerkin (NIPG) discretizations of the viscous rotating shallow-water equatio…
Colloidal smectics in button-like confinements: experiment and theory
René Wittmann, Paul A. Monderkamp, Jingmin Xia +5
Liquid crystals can self-organize into a layered smectic phase. While the smectic layers are typically straight forming a lamellar pattern in bulk, external confinement may drastic…
Variational and numerical analysis of a -tensor model for smectic-A liquid crystals
Jingmin Xia, Patrick E. Farrell
We analyse an energy minimisation problem recently proposed for modelling smectic-A liquid crystals. The optimality conditions give a coupled nonlinear system of partial differenti…
Structural Landscapes in Geometrically Frustrated Smectics
Jingmin Xia, Scott MacLachlan, Timothy J. Atherton +1
A phenomenological free energy model is proposed to describe the behavior of smectic liquid crystals, an intermediate phase that exhibits orientational order and layering at the mo…
One-dimensional ferronematics in a channel: order reconstruction, bifurcations and multistability
James Dalby, Patrick E. Farrell, Apala Majumdar +1
We study a model system with nematic and magnetic orders, within a channel geometry modelled by an interval, . The system is characterised by a tensor-valued nematic order…
Augmented Lagrangian preconditioners for the Oseen-Frank model of nematic and cholesteric liquid crystals
Jingmin Xia, Patrick E. Farrell, Florian Wechsung
We propose a robust and efficient augmented Lagrangian-type preconditioner for solving linearizations of the Oseen-Frank model arising in cholesteric liquid crystals. By applying t…