A Time-Splitting Finite-Element Stable Approximation for the Ericksen--Leslie Equations
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Publication:5254415
DOI10.1137/140960979zbMath1321.35153OpenAlexW2963702331MaRDI QIDQ5254415
Juan Vicente Gutiérrez-Santacreu, Roberto Carlos Cabrales, Francisco Guillén-González
Publication date: 9 June 2015
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://idus.us.es/handle/11441/41270
PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (10)
A Finite Element Algorithm for Nematic Liquid Crystal Flow Based on the Gauge-Uzawa Method ⋮ Non-relaxed finite volume fractional step schemes for unsteady incompressible flows ⋮ Inf-Sup Stable Finite Element Methods for the Landau--Lifshitz--Gilbert and Harmonic Map Heat Flow Equations ⋮ A projection‐based time‐splitting algorithm for approximating nematic liquid crystal flows with stretching ⋮ Fully decoupled linear BDF2 scheme for the penalty incompressible Ericksen-Leslie equations ⋮ Error estimates of a sphere-constraint-preserving numerical scheme for Ericksen-Leslie system with variable density ⋮ Unconditionally energy stable numerical schemes for phase-field vesicle membrane model ⋮ Analysis and numerical approximation of energy-variational solutions to the Ericksen-Leslie equations ⋮ Unnamed Item ⋮ Optimal error estimates of semi-implicit Galerkin method for time-dependent nematic liquid crystal flows
Uses Software
Cites Work
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