Curriculum Vitae
Curriculum Vitae Link
Education

PhD, Universidad de Sevilla, 2012
Major: Mathematics
Dissertation: Numerical Analysis and Simulations for Fluid Mechanics and Phasefield Models

MA, Universidad de Sevilla, 2010
Major: Mathematics

Licenciatura, Universidad de Sevilla, 2007
Major: Mathematics
Current Scheduled Teaching
MATH 1720.130  Calculus II  Spring 2025 


MATH 1720.140  Calculus II  Spring 2025 


MATH 5460.001  Differential Equations  Spring 2025 


MATH 1710.150  Calculus I  Fall 2024 
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MATH 1710.151  Calculus I  Fall 2024 


MATH 1710.153  Calculus I  Fall 2024 


MATH 1710.154  Calculus I  Fall 2024 


MATH 3420.001  Differential Equations II  Fall 2024 
Syllabus


MATH 6950.707  Doctoral Dissertation  Fall 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 6950.712  Doctoral Dissertation  Spring 2024 


MATH 6170.001  Differential Equations  Fall 2023 

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MATH 3420.001  Differential Equations II  Fall 2023 
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MATH 6950.704  Doctoral Dissertation  Fall 2023 


MATH 5900.704  Special Problems  Fall 2023 


MATH 5460.001  Differential Equations  Spring 2023 

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MATH 3410.002  Differential Equations I  Spring 2023 
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MATH 4900.703  Special Problems  Spring 2023 


MATH 6900.705  Special Problems  Spring 2023 


MATH 3410.005  Differential Equations I  Fall 2022 
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MATH 3350.001  Introduction to Numerical Analysis  Fall 2022 
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MATH 5900.714  Special Problems  Fall 2022 


MATH 3420.001  Differential Equations II  Spring 2022 
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MATH 3350.001  Introduction to Numerical Analysis  Spring 2022 
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MATH 4900.703  Special Problems  Spring 2022 


MATH 6900.705  Special Problems  Spring 2022 


MATH 3420.001  Differential Equations II  Fall 2021 
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MATH 5900.703  Special Problems  Fall 2021 


MATH 5460.001  Differential Equations  Spring 2021 

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MATH 6170.001  Differential Equations  Spring 2021 

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MATH 3740.001  Vector Calculus  Spring 2021 
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MATH 3420.001  Differential Equations II  Fall 2020 
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MATH 3420.002  Differential Equations II  Fall 2020 
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MATH 5900.702  Special Problems  Fall 2020 


MATH 3420.001  Differential Equations II  Spring 2020 
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MATH 3850.001  Mathematical Modeling  Spring 2020 
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MATH 3850.201  Mathematical Modeling  Spring 2020 
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MATH 3420.001  Differential Equations II  Fall 2019 
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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 Intellectual Contributions
 Tierra Chica, G., GuillenGonzalez, F., RodriguezBellido, M.A. (2018). Splitting Schemes for Mixtures of NematicIsotropic Flows with Anchoring Effects. 10665 7784. International Conference on LargeScale Scientific Computing LSSC 2017, Lecture Notes in Computer Science.
 Tierra Chica, G., RodriguezBellido, M.A., GuillenGonzalez, F. (2015). Linear stable splitting schemes for a mixture of newtonian and nematic fluids with anchoring effects. 833838. 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 nonmonotone implicit constitutive relations. 797802. Proceedings of the XXIV Congress on Differential Equations and Applications / XIV Congress on Applied Mathematics.
 Tierra Chica, G., GuillenGonzalez, F. (2012). Efficient numerical approximations of the CahnHilliard diffuse interface model. (paper 53) Proceedings of the First ECCOMAS Young Investigators Conference on Computational Methods in Applied Sciences.
 GuillenGonzalez, F., Tierra Chica, G. (2024). Energystable and boundedness preserving numerical schemes for the CahnHilliard equation with degenerate mobility. Applied Numerical Mathematics. 196 6282.
 GuillenGonzalez, F., Tierra Chica, G. (2024). Finite Element numerical schemes for a chemoattraction and consumption model. Journal of Computational and Applied Mathematics. 441 115676.
 Swain, J., Tierra Chica, G. (2024). Linear Numerical Schemes for a QTensor System for Nematic Liquid Crystals. Computer Methods in Applied Mechanics and Engineering. 430 (117190) 26. https://www.sciencedirect.com/science/article/pii/S0045782524004468?via%3Dihub
 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)
 ElHaddad, M., Tierra Chica, G. (2022). A thermodynamically consistent model for twophase incompressible flows with different densities. Derivation and energystable numerical schemes. Computer Methods in Applied Mechanics and Engineering. 389 114328.
 GuillenGonzalez, F., RodriguezBellido, 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
 GuillenGonzalez, F., RodriguezBellido, 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., LukacovaMedvidova, M., Dunweg, B. (2019). Energystable linear schemes for polymersolvent phase field models. Computers & Mathematics with Applications. 77 125143.
 Tierra Chica, G., Janecka, A., Malek, J., Prusa, V. (2019). Numerical scheme for simulation of transient flows of nonNewtonian fluids characterised by a nonmonotone relation between the symmetric part of the velocity gradient and the Cauchy stress tensor. Acta Mechanica. 230 729747.
 Tierra Chica, G., Camaño, J., Oyarzua, R., RuizBaier, R. (2018). Error analysis of an augmented mixed method for the NavierStokes problem with mixed boundary conditions. IMA Journal of Numerical Analysis. 38 14521484.
 Tierra Chica, G., GuillenGonzalez, F. (2018). Unconditionally energy stable numerical schemes for phasefield vesicle membrane model. Journal of Computational Physics. 354 6785.
 Tierra Chica, G., Camaño, J., Oyarzua, R. (2017). Analysis of an augmented mixedFEM for the NavierStokes problem. Mathematics of Computation. 86 589615.
 Tierra Chica, G., Gatica, G., RuizBaier, R. (2016). A mixed finite element method for Darcy’s equations with pressure dependent porosity. Mathematics of Computation. 85 133.
 Tierra Chica, G., Gatica, G., RuizBaier, R. (2016). A posteriori error analysis of an augmented mixed method for the NavierStokes equations with nonlinear viscosity. Computers & Mathematics with Applications. 72 22892310.
 Tierra Chica, G., Camaño, J., Gatica, G., Oyarzua, R. (2016). An augmented mixed finite element method for the NavierStokes equations with variable viscosity. SIAM Journal on Numerical Analysis. 54 10691092.
 Tierra Chica, G., GuillenGonzalez, , F., RodriguezBellido, M.A. (2016). Linear unconditional energystable splitting schemes for a phasefield model for NematicIsotropic flows with anchoring effects. International Journal for Numerical Methods in Engineering. 108 535567.
 Tierra Chica, G., GuillenGonzalez, F. (2015). Approximation of SmecticA liquid crystals. Computer Methods in Applied Mechanics and Engineering. 290 342361.
 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., GuillenGonzalez, F. (2015). Numerical methods for solving the CahnHilliard equation and its applicability to related Energybased models. Archives of Computational Methods in Engineering. 22 269289.
 Tierra Chica, G., Bonnivard, M., SuarezGrau, 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., GuillenGonzalez, F. (2014). Second order schemes and timestep adaptivity for AllenCahn and CahnHilliard models. Computers & Mathematics with Applications. 68 821846.
 Tierra Chica, G., GuillenGonzalez, F. (2014). Splitting Schemes for a NavierStokesCahnHilliard Problem Modeling TwoFluids with Different Densities. Journal of Computational Mathematics. 32 643664.
 Tierra Chica, G., Shrout, J.D., Alber, M., Driscoll, C.M., MoralesSoto, 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 1801318018.
 Tierra Chica, G., GuillenGonzalez, F. (2013). On linear schemes for a Cahn Hilliard Diffuse Interface Model. Journal of Computational Physics. 234 140171.
 Tierra Chica, G., GuillenGonzalez, F. (2012). Superconvergence in velocity and pressure for the 3D NavierStokes. SeMA Journal. 57 4967.
Contracts, Grants and Sponsored Research
 Tierra Chica, G., "Numerical PDEs: Analysis, Algorithms, and Data Challenges," sponsored by The Institute for Computational and Experimental Research in Mathematics (ICERM), Federal, Funded. (2024  2024).
 Tierra Chica, G., "Accurate and Efficient Numerical Methods for EnergyBased Systems," sponsored by Simons Foundation, Private, $42000 Funded. (2024  2029).
 Li, X., Tierra Chica, G., "Investigation of structurefunction relationships for improving ion transport in liquid crystalbased ion transport devices using thinfilm directed selfassembly," sponsored by Division of Research and Innovation, University of North Texas, $9770 Funded. (2023  2023).