An overview on numerical analyses of nematic liquid crystal flows
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Publication:2443844
DOI10.1007/s11831-011-9061-xzbMath1284.76247OpenAlexW2013377070WikidataQ113323893 ScholiaQ113323893MaRDI QIDQ2443844
Juan Vicente Gutiérrez-Santacreu, Santiago Badia, Francisco Guillén-González
Publication date: 8 April 2014
Published in: Archives of Computational Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://idus.us.es/xmlui/handle/11441/47880
Experimental work for problems pertaining to fluid mechanics (76-05) Liquid crystals (76A15) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items (23)
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Cites Work
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- Finite element approximation of nematic liquid crystal flows using a saddle-point structure
- On a multiscale approach to the transient Stokes problem: dynamic subscales and anisotropic space-time discretization
- A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
- Compact sets in the space \(L^ p(0,T;B)\)
- Neumann and mixed problems on curvilinear polyhedra
- The stability in L\(^q\) of the L\(^2\)-projection into finite element function spaces
- A regularity result for the Stokes problem in a convex polygon
- Regularity results for elliptic equations in Lipschitz domains
- Existence of solutions for the Ericksen-Leslie system
- The weak solutions to the evolution problems of harmonic maps
- Stability of the finite element Stokes projection in \(W^{1,\infty}\)
- Theory and practice of finite elements.
- An energy law preserving \(C^0\) finite element scheme for simulating the kinematic effects in liquid crystal dynamics
- Simulations of singularity dynamics in liquid crystal flows: a \(C^0\) finite element approach
- Some constitutive equations for liquid crystals
- Two-grid finite-element schemes for the transient Navier-Stokes problem
- Mathematical Justification of the Hydrostatic Approximation in the Primitive Equations of Geophysical Fluid Dynamics
- Mixed formulation, approximation and decoupling algorithm for a penalized nematic liquid crystals model
- Finite Element Approximations of the Ericksen–Leslie Model for Nematic Liquid Crystal Flow
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
- Convergence of Numerical Approximations of the Incompressible Navier–Stokes Equations with Variable Density and Viscosity
- A Saddle Point Approach to the Computation of Harmonic Maps
- Unconditional stability and convergence of fully discrete schemes for $2D$ viscous fluids models with mass diffusion
- Constraint preserving implicit finite element discretization of harmonic map flow into spheres
- Conditional Stability and Convergence of a Fully Discrete Scheme for Three-Dimensional Navier–Stokes Equations with Mass Diffusion
- Finite Element Methods for Navier-Stokes Equations
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
- Mixed and Hybrid Finite Element Methods
- Weak solutions and development of singularities of the SU(2) σ‐model
- A New Algorithm For Computing Liquid Crystal Stable Configurations: The Harmonic Mapping Case
- Mixed Methods for the Approximation of Liquid Crystal Flows
- Analysis of a fully discrete finite element method for the phase field model and approximation of its sharp interface limits
- Stationary Stokes and Navier–Stokes Systems on Two- or Three-Dimensional Domains with Corners. Part I. Linearized Equations
- Nonparabolic dissipative systems modeling the flow of liquid crystals
- Approximation of Liquid Crystal Flows
- A linear mixed finite element scheme for a nematic Ericksen–Leslie liquid crystal model
- Stability and Convergence of Finite-Element Approximation Schemes for Harmonic Maps
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