Computing And Analysing Energy Minimisation Problems In Liquid Crystals: Implementation Using Firedrake
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A01=Jingmin Xia
Author_Jingmin Xia
Category=PBKJ
Category=PHF
Computational Mathematics
Defcon
Defect Structures
eq_bestseller
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_science
Fast Solvers
Finite Elements
Firedrake
Focal Conic Domains
Liquid Crystals
Mathematical Theories
Multiple Solutions
Numerical Analysis
Numerical Investigations
Oily Streaks
Preconditioners
Product details
- ISBN 9789811273384
- Publication Date: 23 Jun 2023
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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How does one numerically analyse different phases of liquid crystals? With the help of some open-source libraries, what can we do in exploiting the mathematical models of liquid crystals and numerical aspects of their typical defects?There are many excellent books on liquid crystals, but none on their numerics to the knowledge of the author. This book presents some of the latest work on numerical investigations of liquid crystals, addressing some mathematical modelling and numerical problems. This book consists of three major parts, each of which focuses on different problems for different phases of liquid crystals: nematics and cholesterics, ferronematics and smectics. The associated topics include robust solvers for cholesterics, multiple solutions for ferronematics, and mathematical modelling theory for smectics, etc.This interdisciplinary book can be helpful in utilising the open-source libraries Firedrake (for solving problems using finite element methods) and Defcon (for computing multiple solutions) to solve general energy minimisation problems.
