PUBLICATIONS

PUBLISHED AND ACCEPTED PAPERS

  1. Finite Element numerical schemes for a chemo-attraction and consumption model
    Francisco Guillén-González and G. Tierra (2024)
    Published in Journal of Computational and Applied Mathematics
  2. Energy-stable and boundedness preserving numerical schemes for the Cahn-Hilliard equation with degenerate mobility
    Francisco Guillén-González and G. Tierra (2024)
    Published in Applied Numerical Mathematics
  3. Dynamic Motions of Topological Defects in Nematic Liquid Crystals Under Spatial Confinement
    Tejal Pawale, Justin Swain, Sid Hashemi and Xiao Li (2023)
    Published in Advanced Materials Interfaces
  4. A thermodynamically consistent model for two-phase incompressible flows with different densities. Derivation and efficient energy-stable numerical schemes.
    M. El Haddad and G. Tierra (2022)
    Published in Computer Methods in Applied Mechanics and Engineering
  5. Fluid vesicles with internal nematic order
    Francisco Guillén-González, María Ángeles Rodríguez-Bellido and G. Tierra (2021)
    Published in Physica D: Nonlinear Phenomena
  6. Nematic order on a deformable vesicle with anchoring effects
    Francisco Guillén-González, María Ángeles Rodríguez-Bellido and G. Tierra (2020)
    Published in Results in Applied Mathematics
  7. 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 and Giordano Tierra (2019)
    Published in Acta Mechanica
  8. Energy-stable linear schemes for polymer-solvent phase field models
    Paul Strasser, Burkhard Dünweg and Mária Lukácová-Medvidová (2018)
    Published in Computers & Mathematics with Applications 
  9. Unconditionally energy stable numerical schemes for phase-field vesicle membrane model
    F. Guillén-González and G. Tierra (2018)
    Published in Journal of Computational Physics
  10. Error analysis of an augmented mixed method for the Navier-Stokes problem with mixed boundary conditions
    Jessika Camaño, Ricardo Oyarzúa, Ricardo Ruiz-Baier and Giordano Tierra (2017)
    Published in IMA Journal of Numerical Analysis
  11. A posteriori error analysis of an augmented mixed method for the Navier-Stokes equations with nonlinear viscosity
    Gabriel N. Gatica, Ricardo Ruiz-Baier and Giordano Tierra
    Published in Computers & Mathematics with Applications
  12. Linear unconditional energy-stable splitting schemes for a phase-field model for Nematic-Isotropic flows with anchoring effects
    Francisco Guillén-González, María Ángeles Rodríguez-Bellido and G. Tierra (2016)
    Published in International Journal for Numerical Methods in Engineering (IJNME)
  13. An augmented mixed finite element method for the Navier-Stokes equations with variable viscosity
    Jessika Camaño, Gabriel N. Gatica, Ricardo Oyarzúa and Giordano Tierra (2016)
    Published in SIAM Journal on Numerical Analysis (SINUM)
  14. Analysis of an augmented mixed-FEM for the Navier-Stokes problem
    Jessika Camaño, Ricardo Oyarzúa and Giordano Tierra (2016) || AUTHORS ||
    Published in Mathematics of Computation 
  15. On the influence of wavy riblets on the slip behaviour of viscous fluids
    Matthieu Bonnivard, Francisco J. Suárez-Grau and Giordano Tierra (2015)
    Published in Zeitschrift für angewandte Mathematik und Physik (ZAMP)
  16. A mixed finite element method for Darcy’s equations with pressure dependent porosity
    Gabriel N. Gatica, Ricardo Ruiz-Baier and Giordano Tierra (2015)
    Published in Mathematics of Computation 
  17. Approximation of Smectic-A liquid crystals
    F. Guillén-González and G. Tierra (2015)
    Published in Computer Methods in Applied Mechanics and Engineering
  18. Multicomponent model of deformation and detachment of a biofilm under fluid flow
    Giordano Tierra, Juan P. Pavissich, Robert Nerenberg, Zhiliang Xu and Mark S. Alber (2015)
    Published in Journal of the Royal Society Interface
  19. Numerical methods for solving the Cahn-Hilliard equation and its applicability to related Energy-based models
    G. Tierra and F. Guillén-González (2015)
    Published in Archives of Computational Methods in Engineering
  20. Type IV Pili Interactions Promote Intercellular Association and Moderate Swarming of Pseudomonas aeruginosa
    Morgen E. Anyan, Aboutaleb Amiri, Cameron W. Harvey, Giordano Tierra Chica, Nydia Morales-Soto, Callan M. Driscoll, Mark Alber and Joshua D. Shrout (2014)
    Published in PNAS
  21. Second order schemes and time-step adaptivity for Allen-Cahn and Cahn-Hilliard models
    F. Guillén-González and G. Tierra (2014)
    Published in Computers & Mathematics with Applications
  22. Splitting Schemes for a Navier-Stokes-Cahn-Hilliard Problem Modeling Two-Fluids with Different Densities
    F. Guillén-González and G. Tierra (2014)
    Published in Journal of Computational Mathematics
  23. On linear schemes for a Cahn Hilliard Diffuse Interface Model
    F. Guillén-González and G. Tierra (2013)
    Published in Journal Computational Physics
  24. Superconvergence in velocity and pressure for the 3D Navier-Stokes
    F. Guillén-González and G. Tierra (2012)
    Published in Sema Journal

PROCEEDINGS OF INTERNATIONAL CONFERENCES

  1.  Splitting Schemes for Mixtures of Nematic-Isotropic Flows with Anchoring Effects
    G. Tierra, Francisco Guillén-González and María Ángeles Rodríguez-Bellido (2018)
    International Conference on Large-Scale Scientific Computing LSSC 2017, Lecture Notes in Computer Science, volume 10665, (2018) 77-84.
  2. Numerical approximations for unsteady flows of incompressible fluids characterized by non-monotone implicit constitutive relations
    Josef Málek and Giordano Tierra (2015)
    Proceedings of the XXIV Congress on Differential Equations and Applications / XIV Congress on Applied Mathematics (2015), 797-802.
  3. Linear stable splitting schemes for a mixture of newtonian and nematic fluids with anchoring effects
    F. Guillén-González, María Ángeles Rodríguez-Bellido and G. Tierra (2015)
    Proceedings of the XXIV Congress on Differential Equations and Applications / XIV Congress on Applied Mathematics (2015), 797-802.
  4. Efficient numerical approximations of the Cahn-Hilliard diffuse interface model,
    G. Tierra and F. Guillén-González (2012)
    Proccedings of the First ECCOMAS Young Investigators Conference on Computational Methods in Applied Sciences

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