5 papers · 1 filter
Numerical analysis for constrained and unconstrained Q-tensor energies for liquid crystals
Heiko Gimperlein, Ruma R. Maity
This paper introduces a comprehensive finite element approximation framework for three-dimensional Landau-de Gennes -tensor energies for nematic liquid crystals, with a particul…
Bayesian Parameter Identification in the Landau-de Gennes Theory for Nematic Liquid Crystals
Heiko Gimperlein, Ruma R. Maity, Apala Majumdar +1
This manuscript establishes a pathway to reconstruct material parameters from measurements within the Landau-de Gennes model for nematic liquid crystals. We present a Bayesian appr…
Parameter dependent finite element analysis for ferronematics solutions
Ruma Rani Maity, Apala Majumdar, Neela Nataraj
This paper focuses on the analysis of a free energy functional, that models a dilute suspension of magnetic nanoparticles in a two-dimensional nematic well. The {\it first part} of…
Error analysis of Nitsche's and discontinuous Galerkin methods of a reduced Landau-de Gennes problem
Ruma Rani Maity, Apala Majumdar, Neela Nataraj
We study a system of semi-linear elliptic partial differential equations with a lower order cubic nonlinear term, and inhomogeneous Dirichlet boundary conditions, relevant for two-…
Discontinuous Galerkin Finite Element Methods for the Landau-de Gennes Minimization Problem of Liquid Crystals
Ruma Rani Maity, Apala Majumdar, Neela Nataraj
We consider a system of second order non-linear elliptic partial differential equations that models the equilibrium configurations of a two dimensional planar bistable nematic liqu…