16 citations · 38 across the 8 of their papers we have counts for
9 papers
Efficient linear schemes for a penalized ternary Cahn-Hilliard system
Justin Swain, Giordano Tierra
In this work we introduce novel numerical schemes for a penalized version of the ternary Cahn-Hilliard system for the purpose of creating accurate and efficient numerical schemes o…
Unconditionally Energy Stable Second Order Numerical Scheme for a Microemulsion model
Natasha S. Sharma, Giordano Tierra
We present a numerical scheme for solving a sixth-order Cahn-Hilliard type equation that captures the dynamics of phase transitions in a ternary mixture consisting of two immiscibl…
Structure preserving finite element schemes for the Navier-Stokes-Cahn-Hilliard system with degenerate mobility
Francisco Guillén-González, Giordano Tierra
In this work we present two new numerical schemes to approximate the Navier-Stokes-Cahn-Hilliard system with degenerate mobility using finite differences in time and finite element…
Linear Numerical Schemes for a -Tensor System for Nematic Liquid Crystals
Justin Swain, Giordano Tierra
In this work, we present three linear numerical schemes to model nematic liquid crystals using the Landau-de Gennes -tensor theory. The first scheme is based on using a…
Energy-stable and boundedness preserving numerical schemes for the Cahn-Hilliard equation with degenerate mobility
Francisco Guillen-Gonzalez, Giordano Tierra
Two new numerical schemes to approximate the Cahn-Hilliard equation with degenerate mobility (between stable values 0 and 1) are presented, by using two different non-centered appr…
Finite Element numerical schemes for a chemo-attraction and consumption model
F. Guillén-González, G. Tierra
This work is devoted to design and study efficient and accurate numerical schemes to approximate a chemo-attraction model with consumption effects, which is a nonlinear parabolic s…
Numerical scheme for simulation of transient flows of non-Newtonian fluids characterised by a non-monotone relation between the symmetric part of the velocity gradient and the Cauchy stress tensor
Adam Janečka, Josef Málek, Vít Průša +1
We propose a numerical scheme for simulation of transient flows of incompressible non-Newtonian fluids characterised by a non-monotone relation between the symmetric part of the ve…
Energy-stable linear schemes for polymer-solvent phase field models
Paul J. Strasser, Giordano Tierra, Burkhard Dünweg +1
We present new linear energy-stable numerical schemes for numerical simulation of complex polymer-solvent mixtures. The mathematical model proposed by Zhou, Zhang and E (Physical R…
Approximation of Smectic-A liquid crystals
Francisco Guillén-González, Giordano Tierra
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 $({\bf u…