Faculty Profile

Giordano Tierra Chica

Title
Assistant Professor
Department
Mathematics
College
College of Science

    

Education

PhD, Universidad de Sevilla, 2012.
Major: Mathematics
Dissertation Title: Numerical Analysis and Simulations for Fluid Mechanics and Phase-field Models
MA, Universidad de Sevilla, 2010.
Major: Mathematics
Licenciatura, Universidad de Sevilla, 2007.
Major: Mathematics

Current Scheduled Teaching*

MATH 6950.712, Doctoral Dissertation, Spring 2024

* Texas Education Code 51.974 (HB 2504) requires each institution of higher education to make available to the public, a syllabus for undergraduate lecture courses offered for credit by the institution.

Previous Scheduled Teaching*

MATH 6170.001, Differential Equations, Fall 2023 Syllabus SPOT
MATH 3420.001, Differential Equations II, Fall 2023 Syllabus SPOT
MATH 6950.704, Doctoral Dissertation, Fall 2023
MATH 5900.704, Special Problems, Fall 2023
MATH 5460.001, Differential Equations, Spring 2023 SPOT
MATH 3410.002, Differential Equations I, Spring 2023 Syllabus SPOT
MATH 4900.703, Special Problems, Spring 2023
MATH 6900.705, Special Problems, Spring 2023
MATH 3410.005, Differential Equations I, Fall 2022 Syllabus SPOT
MATH 3350.001, Introduction to Numerical Analysis, Fall 2022 Syllabus SPOT
MATH 5900.714, Special Problems, Fall 2022
MATH 3420.001, Differential Equations II, Spring 2022 Syllabus SPOT
MATH 3350.001, Introduction to Numerical Analysis, Spring 2022 Syllabus SPOT
MATH 4900.703, Special Problems, Spring 2022
MATH 6900.705, Special Problems, Spring 2022
MATH 3420.001, Differential Equations II, Fall 2021 Syllabus SPOT
MATH 5900.703, Special Problems, Fall 2021
MATH 5460.001, Differential Equations, Spring 2021 SPOT
MATH 6170.001, Differential Equations, Spring 2021 SPOT
MATH 3740.001, Vector Calculus, Spring 2021 Syllabus SPOT
MATH 3420.001, Differential Equations II, Fall 2020 Syllabus SPOT
MATH 3420.002, Differential Equations II, Fall 2020 Syllabus SPOT
MATH 5900.702, Special Problems, Fall 2020
MATH 3420.001, Differential Equations II, Spring 2020 Syllabus
MATH 3850.001, Mathematical Modeling, Spring 2020 Syllabus
MATH 3850.201, Mathematical Modeling, Spring 2020 Syllabus
MATH 3420.001, Differential Equations II, Fall 2019 Syllabus SPOT

* Texas Education Code 51.974 (HB 2504) requires each institution of higher education to make available to the public, a syllabus for undergraduate lecture courses offered for credit by the institution.

Published Publications

Published Intellectual Contributions

Conference Proceeding
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.
Journal Article
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.

Awarded Grants

Contracts, Grants and Sponsored Research

Grant - Research
Li, X., Tierra Chica, G., "Investigation of structure-function relationships for improving ion transport in liquid crystal-based ion transport devices using thin-film directed self-assembly," Sponsored by Division of Research and Innovation, University of North Texas, $9770 Funded. (20232023).
,
Overall
Summative Rating
Challenge and
Engagement Index
Response Rate

out of 5

out of 7
%
of
students responded
  • Overall Summative Rating (median):
    This rating represents the combined responses of students to the four global summative items and is presented to provide an overall index of the class’s quality. Overall summative statements include the following (response options include a Likert scale ranging from 5 = Excellent, 3 = Good, and 1= Very poor):
    • The course as a whole was
    • The course content was
    • The instructor’s contribution to the course was
    • The instructor’s effectiveness in teaching the subject matter was
  • Challenge and Engagement Index:
    This rating combines student responses to several SPOT items relating to how academically challenging students found the course to be and how engaged they were. Challenge and Engagement Index items include the following (response options include a Likert scale ranging from 7 = Much higher, 4 = Average, and 1 = Much lower):
    • Do you expect your grade in this course to be
    • The intellectual challenge presented was
    • The amount of effort you put into this course was
    • The amount of effort to succeed in this course was
    • Your involvement in course (doing assignments, attending classes, etc.) was
CLOSE