Discontinuous Galerkin finite element methods for the Landau–de Gennes minimization problem of liquid crystals

DOI10.1093/IMANUM/DRAA008zbMath1501.65123arXiv1907.06847OpenAlexW2965702953MaRDI QIDQ5077026

Apala Majumdar, Ruma Rani Maity, Neela Nataraj

Publication date: 17 May 2022

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.06847

zbMATH Keywords

nematic liquid crystalserror analysisconvergence ratediscontinuous Galerkin finite element methodsenergy optimizationLandau-de Gennes energy functional

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) PDEs in connection with fluid mechanics (35Q35) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Second-order elliptic equations (35J15) Liquid crystals (76A15) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Galerkin and related methods applied to problems in statistical mechanics (82M10)

Related Items (5)

Parameter dependent finite element analysis for ferronematics solutions ⋮ Variational and numerical analysis of aQ-tensor model for smectic-A liquid crystals ⋮ A priori and a posteriori error analysis for semilinear problems in liquid crystals ⋮ Error analysis of Nitsche's and discontinuous Galerkin methods of a reduced Landau-de Gennes problem ⋮ Pattern formation for nematic liquid crystals -- modelling, analysis, and applications

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