| Attributs | Valeurs |
|---|
| type
| |
| Is Part Of
| |
| Subject
| |
| License
| |
| Title
| - Variational and numerical analysis of a Q-tensor model for smectic-A liquid crystals
|
| Date
| |
| has manifestation of work
| |
| related by
| |
| Author
| |
| Abstract
| - We analyse an energy minimisation problem recently proposed for modelling smectic-A liquid crystals. The optimality conditions give a coupled nonlinear system of partial differential equations, with a second-order equation for the tensor-valued nematic order parameter Q and a fourth-order equation for the scalar-valued smectic density variation u. Our two main results are a proof of the existence of solutions to the minimisation problem, and the derivation of a priori error estimates for its discretisation of the decoupled case ( i.e., q = 0) using the C0 interior penalty method. More specifically, optimal rates in the H1 and L2 norms are obtained for Q, while optimal rates in a mesh-dependent norm and L2 norm are obtained for u. Numerical experiments confirm the rates of convergence.
|
| article type
| |
| publisher identifier
| |
| Date Copyrighted
| |
| Rights
| - © The authors. Published by EDP Sciences, SMAI 2023
|
| Rights Holder
| - The authors. Published by EDP Sciences, SMAI
|
| is part of this journal
| |
| is primary topic
of | |
