Tierra Chica, G., Guillen-Gonzalez, F., Rodriguez-Bellido, M. A. (2018). Splitting Schemes for Mixtures of Nematic-Isotropic Flows with Anchoring Effects. 10665, 77-84. International Conference on Large-Scale Scientific Computing LSSC 2017, Lecture Notes in Computer Science.
Tierra Chica, G., Rodriguez-Bellido, M. A., Guillen-Gonzalez, F. (2015). Linear stable splitting schemes for a mixture of newtonian and nematic fluids with anchoring effects. 833-838. Proceedings of the XXIV Congress on Differential Equations and Applications / XIV Congress on Applied Mathematics.
Tierra Chica, G., Malek, J. (2015). Numerical approximations for unsteady flows of incompressible fluids characterized by non-monotone implicit constitutive relations. 797-802. Proceedings of the XXIV Congress on Differential Equations and Applications / XIV Congress on Applied Mathematics.
Tierra Chica, G., Guillen-Gonzalez, F. (2012). Efficient numerical approximations of the Cahn-Hilliard diffuse interface model. (paper 53), . Proceedings of the First ECCOMAS Young Investigators Conference on Computational Methods in Applied Sciences.
Guillen-Gonzalez, F., Tierra Chica, G. (2024). Energy-stable and boundedness preserving numerical schemes for the Cahn-Hilliard equation with degenerate mobility. Applied Numerical Mathematics. 196, 62-82.
Guillen-Gonzalez, F., Tierra Chica, G. (2024). Finite Element numerical schemes for a chemo-attraction and consumption model. Journal of Computational and Applied Mathematics. 441, 115676.
Pawale, T., Hashemi, S., Swain, J. D., Tierra Chica, G., Li, X. (2023). Directed stabilization and annihilation of defects in nematic phase of liquid crystal by chemically patterned surfaces. Advanced Materials Interfaces. 10(2300136), .
El-Haddad, M., Tierra Chica, G. (2022). A thermodynamically consistent model for two-phase incompressible flows with different densities. Derivation and energy-stable numerical schemes. Computer Methods in Applied Mechanics and Engineering. 389, 114328.
Guillen-Gonzalez, F., Rodriguez-Bellido, M., Tierra Chica, G. (2021). Fluid vesicles with internal nematic order. Physica D: Nonlinear Phenomena. 415, 132768. https://www.sciencedirect.com/science/article/pii/S0167278920301871
Guillen-Gonzalez, F., Rodriguez-Bellido, M., Tierra Chica, G. (2020). Nematic order on a deformable vesicle with anchoring effects. Results in Applied Mathematics. 8, 100102.
Tierra Chica, G., Strasser, P., Lukacova-Medvidova, M., Dunweg, B. (2019). Energy-stable linear schemes for polymer-solvent phase field models. Computers & Mathematics with Applications. 77, 125-143.
Tierra Chica, G., Janecka, A., Malek, J., Prusa, V. (2019). 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. Acta Mechanica. 230, 729-747.
Tierra Chica, G., Camaño, J., Oyarzua, R., Ruiz-Baier, R. (2018). Error analysis of an augmented mixed method for the Navier-Stokes problem with mixed boundary conditions. IMA Journal of Numerical Analysis. 38, 1452-1484.
Tierra Chica, G., Guillen-Gonzalez, F. (2018). Unconditionally energy stable numerical schemes for phase-field vesicle membrane model. Journal of Computational Physics. 354, 67-85.
Tierra Chica, G., Camaño, J., Oyarzua, R. (2017). Analysis of an augmented mixed-FEM for the Navier-Stokes problem. Mathematics of Computation. 86, 589-615.
Tierra Chica, G., Gatica, G., Ruiz-Baier, R. (2016). A mixed finite element method for Darcy’s equations with pressure dependent porosity. Mathematics of Computation. 85, 1-33.
Tierra Chica, G., Gatica, G., Ruiz-Baier, R. (2016). A posteriori error analysis of an augmented mixed method for the Navier-Stokes equations with nonlinear viscosity. Computers & Mathematics with Applications. 72, 2289-2310.
Tierra Chica, G., Camaño, J., Gatica, G., Oyarzua, R. (2016). An augmented mixed finite element method for the Navier-Stokes equations with variable viscosity. SIAM Journal on Numerical Analysis. 54, 1069-1092.
Tierra Chica, G., Guillen-Gonzalez,, F., Rodriguez-Bellido, M. A. (2016). Linear unconditional energy-stable splitting schemes for a phase-field model for Nematic-Isotropic flows with anchoring effects. International Journal for Numerical Methods in Engineering. 108, 535-567.
Tierra Chica, G., Guillen-Gonzalez, F. (2015). Approximation of Smectic-A liquid crystals. Computer Methods in Applied Mechanics and Engineering. 290, 342-361.
Tierra Chica, G., Pavissich, J. P., Nerenberg, R., Xu, Z., Alber, M. S. (2015). Multicomponent model of deformation and detachment of a biofilm under fluid flow. Journal of The Royal Society Interface. 12, 20150045.
Tierra Chica, G., Guillen-Gonzalez, F. (2015). Numerical methods for solving the Cahn-Hilliard equation and its applicability to related Energy-based models. Archives of Computational Methods in Engineering. 22, 269-289.
Tierra Chica, G., Bonnivard, M., Suarez-Grau, F. J. (2014). Influence of wavy riblets on the slip behavior of viscous fluids. Zeitschrift für angewandte Mathematik und Physik. 67(27), .
Tierra Chica, G., Guillen-Gonzalez, F. (2014). Second order schemes and time-step adaptivity for Allen-Cahn and Cahn-Hilliard models. Computers & Mathematics with Applications. 68, 821-846.
Tierra Chica, G., Guillen-Gonzalez, F. (2014). Splitting Schemes for a Navier-Stokes-Cahn-Hilliard Problem Modeling Two-Fluids with Different Densities. Journal of Computational Mathematics. 32, 643-664.
Tierra Chica, G., Shrout, J. D., Alber, M., Driscoll, C. M., Morales-Soto, N., Harvey, C. W., Amiri, A., Anyan, M. E. (2014). Type IV Pili Interactions Promote Intercellular Association and Moderate Swarming of Pseu.. PNAS: Proceedings of the National Academy of Sciences. 111, 18013-18018.
Tierra Chica, G., Guillen-Gonzalez, F. (2013). On linear schemes for a Cahn Hilliard Diffuse Interface Model. Journal of Computational Physics. 234, 140-171.
Tierra Chica, G., Guillen-Gonzalez, F. (2012). Superconvergence in velocity and pressure for the 3D Navier-Stokes. SeMA Journal. 57, 49-67.