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Artículo
Approximation of Smectic-A liquid crystals
(Elsevier, 2015-06-15)
In this paper, we present energy-stable numerical schemes for a Smectic-A liquid crystal model. This model involve the hydrodynamic velocity-pressure macroscopic variables (u, p) and the microscopic order parameter of ...
Artículo
A projection-based time-splitting algorithm for approximating nematic liquid crystal flows with stretching
(Wiley, 2017)
A numerical method is developed for solving a system of partial differential equations modeling the flow of a nematic liquid crystal fluid with stretching effect, which takes into account the geometrical shape of its ...
Artículo
A time-splitting finite-element stable approximation for the Ericksen-Leslie equations
(Society for Industrial and Applied Mathematics, 2015)
In this paper we propose an unconditional energy-stable time-splitting finite-element scheme for approximating the Ericksen–Leslie equations governing the flow of nematic liquid crystals. These equations are to be solved ...
Artículo
Analysis of the hydrostatic Stokes problem and finite-element approximation in unstructured meshes
(Springer, 2015-06)
The stability of velocity and pressure mixed finite-element approximations in general meshes of the hydrostatic Stokes problem is studied, where two “inf-sup” conditions appear associated to the two constraints of the ...
Artículo
Stability and convergence of two discrete schemes for a degenerate solutal non-isothermal phase-field model
(EDP Sciences, 2009)
We analyze two numerical schemes of Euler type in time and C0 finite-element type with P1-approximation in space for solving a phase-field model of a binary alloy with thermal properties. This model is written as a highly ...
Artículo
Linear unconditional energy-stable splitting schemes for a phase-field model for Nematic-Isotropic flows with anchoring effects
(Wiley, 2016)
Two-phase flows composed of fluids exhibiting different microscopic structure are an important class of engineering materials. The dynamics of these flows are determined by the coupling among three different length scales: ...