THINH T. KIEU
            Assistant Professor 
Home
Department of Mathematics
University of North Georgia
Gainesville Campus
3820 Mundy Mill Rd.,
Oakwood, GA 30566
Office: Watkins Building 148
Phone: 678-717-3736
Email: thinh.kieu@ung.edu
http://faculty.ung.edu/ttkieu/

Teaching.

  • Summer 2017, MATH 3000 Diferrential equations.
  • Summer 2017, MATH 2460 Calculus II.
  • Spring 2017, MATH 3550 Numerical Analysis.
  • Spring 2017, MATH 2460 Calculus II.
  • Spring 2017, MATH 1113 Pre-Calculus.
  • Spring 2017, MATH 1111 College Algebra.
  • Fall 2016, MATH 2460 Calculus II.
  • Falll 2016, MATH 1540 Calculus I.
  • Fall 2016, MATH 1113 PreCalculus.
  • Fall 2016, MATH 1111 College Algebra.
  • Summer 2016, MATH 2460 Calculus II.
  • Summer 2016, MATH 1113 PreCalculus.
  • Spring 2016, MATH 3000 Differential Equations.
  • Spring 2016, MATH 1450 Calculus I.
  • Spring 2016, MATH 1113 Precalculus.
  • Fall 2015, MATH 3000 Differential Equations.
  • Fall 2015, MATH 1450 Calculus I.
  • Fall 2015, MATH 1113 Precalculus.
  • Summer 2015, MATH 1450 Calculus I.
  • Summer 2015, MATH 0099 Intermediate Algebra.
  • Spring 2015, MATH 2460 Calculus II.
  • Spring 2015, MATH 1113 Precalculus.
  • Spring 2015, MATH 1111 College Algebra.
  • Fall 2014, MATH 1113 Precalculus.
  • Fall 2014, MATH 0099 Intermediate Algebra.
  • Summer 2014, MATH 3350-101. Higher Mathematics for Engineers and Scientists I.
  • Summer 2014, MATH 3360-201. Foundations of Algebra I (grading).
  • Spring 2014, MATH 3350-016. Higher Mathematics for Engineers and Scientists I.
  • Spring 2014, MATH3350-020. Higher Mathematics for Engineers and Scientists I.
  • Fall 2013, MATH 3350-009. Higher Mathematics for Enginneers and Scientists I.
  • Summer 2013, MATH1321-101. Trigonometry.
  • Spring 2013, MATH 2450-016. Calculus III with Applications.
  • Fall 2012, MATH 1452-012. Calculus II with Applications.

Research interests.
  • Partial differential equations, fluid dynamics, numerical methods for partial differential equations, Bernstein-based finite elements, spectra of Bernstein-based FEM operators.

Programing language Skills.
  • Pascal, Visual Delphi, Phython, Java, Visual Basic, C, C++, Parallel programing, Maple, Mathlab, Mathematica, Geometry Sketchpad, Sundance, Fenics, MS office.

Publications.
  1. Thinh Kieu, A mixed finite element approximation for Darcy-Forchheimer flows of slightly compressible fluids , 25pp, submitted for publication. [Arxiv Preprint]
  2. Emine Celik, Akif Ibragimov, Luan Hoang, Thinh Kieu, Fluid flows of mixed regimes in porous media , Journal of Mathematical Physics, Volume 58 (2017), No. 2, 023102, 30 pp. [(doi:10.1063/1.4976195)]
  3. Emine Celik, Luan Hoang, Thinh Kieu, Doubly nonlinear parabolic equations for a general class of Forchheimer gas flows in porous media, 31pp, submitted for publication. [Arxiv Preprint]
  4. Thinh Kieu, Numerical analysis for generalized Forchheimer equation of slightly compressible fluides in porous media, 27pp, submitted for publication. [Arxiv Preprint]
  5. Thinh Kieu, Galerkin finite element method for generalized Forchheimer equation of slightly compressible fluides in porous media, 23pp, Journal of Mathematical Methods in the Applied Sciences, accepted, 2017. [DOI: 10.1002/mma.431]
  6. Emine Celik, Luan Hoang, Thinh Kieu, Generalized Forchheimer flows of isentropic gases, 33pp, Journal of Mathematical Fluid Mechanics, accepted, 2017. [doi:10.1007/s00021-016-0313-2]
  7. Akif Ibraguimov, Thinh Kieu. The expanded mixed finite element method for generalized Forchheimer flows in porous media, Computers and Mathematics with Applications, Volume 72, Issue 6, September 2016, 1467-1483. [doi:10.1016/j.camwa.2016.06.029 ]
  8. Luan Hoang, Thinh Kieu. Interior estimates for generalized Forchheimer flows of slightly compressible fluids, 32 pp, Advanced Nonlinear Studies, accepted, 2017. [Arxiv Preprint]
  9. Robert C. Kirby, Thinh Kieu. Galerkin finite element methods for nonlinear Klein-Gordon equations, 13 pp, submitted for publication. [pdf]
  10. Luan Hoang, Thinh Kieu, Global estimates for generalized Forchheimer flows of slightly compressible fluids, 41pp, Journal d'Analyse Mathematique, accepted. [Arxiv Preprint]
  11. Luan Hoang, Akif Ibragimov, Thinh Kieu, Zeev Sobol. Stability of solutions to generalized Forchheimer equations of any degree, Volume 210, Number 4 (2015), 476-544, Journal of Mathematical Sciences (via journal Problems in Mathematical Analysis). [doi: 10.1007/s10958-015-2576-1 ]
  12. Thinh Kieu. Analysis of expanded mixed finite element methods for the generalized Forchheimer equations, Vol 32, Issue 1, 60-85, 2015, Numerical Methods for Partial Differential Equations Journal, accepted. [doi: 10.1002/num.21984] [Preprint]
  13. Luan Hoang, Akif Ibragimov, Thinh Kieu. A Family of steady two-phase generalized Forchheimer flows and their linear stability analysis , J. Math. Phys. 55, 123101, 32pp (2014). [DOI: 10.1063/1.4903002]
  14. Robert C. Kirby, Thinh Kieu. Symplectic-mixed finite element approximation of linear wave equations, J. Numerische Mathematik, Vol. 130 No. 2, Oct 2014, 257-291. [ doi:10.1007/s00211-014-0667-4, Springerlink]
  15. Luan Hoang, Thinh Kieu, Tuoc Phan. Properties of generalized Forchheimer flows in porous media, Problems of Mathematical Analysis, Vol. 76, August 2014, 133-194, and in Journal of Mathematical Sciences, Vol. 202 No. 2, October 2014, 259-332. [Arxiv Preprint] [ Doi:10.1007/s10958-014-2045-2]
  16. Luan Hoang, Akif Ibragimov, Thinh Kieu. One-dimensional two-phase Forchheimer flows for incompressible fluids, J.Math. Anal. Appln., Volume 401, Issue 2, 15 May 2013, 921-938. [doi:10.1016/j.jmaa.2012.12.055]
  17. Robert C. Kirby, Thinh Kieu. Fast simplicial quadrature-based finite element operators using Bernstein polynomials, Numerische Mathematik, Volume 121,Issue 2 (2012), 261-279. [Springerlink]

Work in progress.
  • Galerkin FEM for generalized Forchherimmer flows in preparation,
  • Statistical study of Forchheimer flows, (with Luan Hoang) in preparation.
  • General fluid flows in porous media, (with Emine Celik, Luan Hoang, Akif Ibragimov) in preparation.
  • Generalized Forchheimer flows in geophysical fluid dynamics, (with Emine Celik, Luan Hoang,) in preparation.
  • Mixed finite element method for Global Tide Models,(with Robert C. Kirby) in preparation.
  • Galerkin finite element method for nonlinear hyperbolic equations, (with Robert C. Kirby), 30 pages.
  • Generalized Forchheimer flows of slightly compressible fluids. Continuous dependence, (with Luan Hoang), in preparation.
  • Two-phase general Forchheimer flows of mixed compressible fluids, (with Akif Ibragimov, Luan Hoang) in preparation.
  • The inverse of two-level Toeplitz operator matrix and application, (with Selcuk Koyuncu) in preparation

Thesis/Dissertation.
  • Stability of solutions to generalized Forchheimer equation and finite element approximation of wave equations, Ph. D. Dissertation, Mathematics, 2014.
  • On the solution of the initial-boundary value problem in theory on Sandwich plates, M.A. thesis, Mathematics, 2004.
  • A differential equation of the transverse motion of an isotropic Sandwich plate and finite element method, B.S. thesis, Mathematics, 1997.

Conferences.
Seminars.
  • Mathematics Seminar, Department of Mathematics, University of North Georgia, GA, Feb. 1, 2016.
    Presented title: "Structural stability to Non-Darcy flows for slightly compressible fluid in porous media.
  • Mathematics Seminar, Department of Mathematics, University of North Georgia, GA, Oct. 21, 2015.
    Presented title: "Teaching Mathematics using Maple (part I).
  • Mathematics Seminar, Department of Mathematics, University of North Georgia, GA, Oct. 12, 2015.
    Presented title: "Lp-estimate for general Forchheimer flows in porous media (part I) .
  • Mathematics Seminar, Department of Mathematics, University of North Georgia, GA, Feb. 16, 2015.
    Presented title: "Webwork .
  • Mathematics Seminar, Department of Mathematics, University of North Georgia, GA, Jan. 26, 2015.
    Presented title: "Steady state for two-phase generalized Forchheimer flows and linear stability analysis in 1D .
  • Mathematics Seminar, Department of Mathematics, University of North Georgia, GA, Sep. 15, 2014.
    Presented title: "Mixed finite element methods for wave equations .
  • Applied Mathematics Seminar, Texas Tech University, Lubbock, TX, January 29, 2014.
    Presented title: "A study of steady two-phase generalized Forchheimer flows and their linear stability analysis".
  • Applied Mathematics Seminar, College of William and Mary, Williamsburg, VA, Nov. 22, 2013.
    Presented title: "Finite element approximation of hyperbolic equations and generalized Forchheimer equations in porous media".
  • Applied Mathematics Seminar, Texas Tech University, Lubbock, TX, September 11, 2013.
    Presented title: "Structural Stability of Generalized Forchheimer flows in porous media.
  • Applied Mathematics Seminar, Texas Tech University, Lubbock, TX, March 27, 2013.
    Presented title: "Structural Stability of Generalized Forchheimer flows of any Degree.
  • Applied Mathematics Seminar, Baylor University, Waco, TX, November 1, 2012.
    Presented title: " Numerical analysis of hyperbolic equations."
  • Applied Mathematics Seminar, Texas Tech University, Lubbock, TX, October 3, 2012.
    Presented title: "The one-dimensional two-phase Forchheimer flows for incompressible fluids.
  • Applied Mathematics Seminar, Texas Tech University, Lubbock, TX, USA, March 21, 2012.
    Presented title: Simplectic mixed finite element for acoustic linear wave equation using Raviart-Thomas element.

Research experience.
Education.

Professional information.
  • Curriculum vitae: [pdf]
  • Teaching Statement: [pdf]
  • Research Statement: [pdf ]