A Renormalized Newton Method for Liquid Crystal Director Modeling

DOI10.1137/130942917zbMath1325.49031OpenAlexW2163850610MaRDI QIDQ2946206

Eugene C. Gartland jun., Alison Ramage

Publication date: 16 September 2015

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://strathprints.strath.ac.uk/50671/

zbMATH Keywords

saddle-point problemsliquid crystalsreduced Hessian methoddirector modelsrenormalized Newton methodunit-vector constraints

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Numerical computation of solutions to systems of equations (65H10) Liquid crystals (76A15) Optimality conditions for minimax problems (49K35) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (6)

Constrained Optimization for Liquid Crystal Equilibria ⋮ An Energy-Minimization Finite-Element Approach for the Frank--Oseen Model of Nematic Liquid Crystals ⋮ A structure-preserving FEM for the uniaxially constrained \(\mathbf{Q} \)-tensor model of nematic liquid crystals ⋮ Combining Deflation and Nested Iteration for Computing Multiple Solutions of Nonlinear Variational Problems ⋮ A finite element method for the generalized Ericksen model of nematic liquid crystals ⋮ The Q-tensor model with uniaxial constraint

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