Assistant Professor
      Department of Mathematics
      College of Arts and Sciences
      Florida State University

Sanghyun Lee, PhD

. [In Preparation] S. Lee, Y-J. Lee, M.F. Wheeler
Enriched Galerkin approximations for coupled flow and transport system
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28. T. Kadeethum, H.M. Nick, S. Lee, F. Ballarin
Enriched Galerkin Discretization for Mixed-Dimensional Modelling Flow in Fractured Porous Media, submitted, 2019
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27. S. Lee, M. F. Wheeler
Modeling interactions of natural and two phase fluid filled fracture propagation in porous media,submitted, 2019
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26. T. Kadeethum, H.M. Nick, S. Lee, F. Ballarin
Enriched Galerkin Discretization for Modelling Poroelasticity and Permeability Alteration in Heterogeneous Porous Media, submitted, 2019
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25. T. Kadeethum, H. M. Nick, and S. Lee
Comparison of Two- and Three-field Formulation Discretizations for Flow and Solid Deformation in Heterogeneous Porous Media
International Association for Mathematical Geosciences, 2019
Preprint -
24. T. Kadeethum, H.M. Nick, S. Lee, C.N. Richardson, S. Salimzadeh, F. Ballarin
A Novel Enriched Galerkin Method for Modelling Coupled Flow and Mechanical Deformation in Heterogeneous Porous Media
American Rock Mechanics Association,2019
Preprint -
23. Rencheng Dong*, M.F. Wheeler, S. Lee
Numerical Simulation of Matrix Acidizing in Fractured Carbonate Reservoirs Using Adaptive Enriched Galerkin Method
2019, SPE-193862-MS, SPE RSC 2019,
22. M.F. Wheeler*, S. Srinivasan, S. Lee, M. Singh
Unconventional Reservoir Management Modeling Coupling Diffusive Zone/Phase Field Fracture Modeling and Fracture Probability Maps,
2019, SPE 193830-MS, SPE RSC 2019,
21. W. Choi, S. Lee*
Optimal Error Estimate of Elliptic Problems with Dirac Sources,
2019, accepted, Applied Numerical Mathematics
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20. S. Shiozawa*, S. Lee, M.F. Wheeler
The effect of stress boundary conditions on fluid-driven fracture propagation in porous media using a phase field modeling approach,
2019, International Journal for Numerical and Analytical Methods in Geomechanics, DOI: 10.1002/nag.2899
- Journal
19. J.Choo*, S. Lee
Enriched Galerkin Finite Element Method for Locally Mass Conservative Simulation of Coupled Hydromechanical Problems
2018, Proceedings of China-Europe Conference on Geotehcnical Engineering, Springer Nature Switzerland AG
Preprint Springer
18. J. Choo*, S.Lee
Enriched Galerkin finite elements for coupled poromechanics with local mass conservation,
2018 November, Volume 341, Pages 311-332 Computer Methods in Applied Mechanics and Engineering
Preprint Journal
17. S. Lee*, M. F. Wheeler
Enriched Galerkin approximations for two phase flow in porous media with capillary pressure,
2018, Volume 367, 15 August 2018, Pages 65-86,, Journal of Computational Physics
Preprint Journal
16. S. Lee*, A. Mikelic, M. F. Wheeler, T. Wick
Phase-field modeling of two phase fluid-filled fractures in a poroelastic medium,
2018, 16-4, pp. 1542-1580,, SIAM Multiscale Modeling and Simulation
Preprint Journal
15. S. Lee, B. Min*, M. F. Wheeler
Optimal hydraulic fracturing design using the phase field model coupled with global-objective genetic algorithm,
2018, Volume 22, Issue 3, pp 833-849, Computational Geosciences, doi:10.1007/s10596-018-9728-6
Preprint Journal
14. T. Almani, S. Lee*, M. F. Wheeler, T. Wick
Multirate Coupling for Flow and Geomechanics Applied to Hydraulic Fracturing Using an Adaptive Phase-Field Technique,
SPE-182610-MS, SPE Reservoir Simulation Conference 2017 doi:10.2118/182610-MS
13. G. Scovazzi*, M.F. Wheeler, A. Mikelic, S. Lee
Analytical and variational numerical methods for unstable miscible displacement flows in porous media,
Journal of Computational Physics , Volume 335, 15 April 2017, Pages 444-496, DOI: 10.1016/
Preprint Journal
12. S. Lee*, M.F. Wheeler,
Adaptive enriched Galerkin methods for miscible displacement problems with entropy residual stabilization,
Journal of Computational Physics , Volume 331, 15 February 2017, Pages 19-37, DOI: 10.1016/
arXiv Journal
11. S. Lee*, M.F. Wheeler, T. Wick,
Iterative coupling of flow, geomechanics and adaptive phase-field fracture including a level-set crack width approach,
Journal of Computational and Applied Mathematics, Volume 314, April 2017, Pages 40-60, DOI: 10.1016/
arXiv Journal
10. S. Lee, J.E. Reber*, N.W. Hayman, M. F. Wheeler
Investigation of wing crack formation with a combined phase-field and experimental approach,
Geophysical Research Letters 43, 7946-7952, DOI: 10.1002/2016GL069979, 2016
Preprint Journal
9. S. Lee*, A. J. Salgado
Stability analysis of pressure correction schemes for the Navier-Stokes equations with traction boundary conditions,
Comp. Meth. Appl. Mech. Engrg. Volume 309, 1 September 2016, Pages 307-324
arXiv Journal
8. S. Lee, M.F. Wheeler*, T. Wick, S. Srinivasan
Initialization of phase-field fracture propagation in porous media using probability maps of fracture networks,
Mechanics Research Communications. Volume 80, March 2017, Pages 16-23, DOI: 10.1016/j.mechrescom.2016.04.002, 2016
ICES Report 16-09 Journal
7. S. Lee*, Y-J. Lee, M.F. Wheeler
A Locally Conservative Enriched Galerkin Approximation and Efficient Solver for the Parabolic Problems,
SIAM Journal on Scientific Computing , 38(3), A1404-A1429. (26 pages) 2016
ICES Report 15-19 Journal
6. S. Lee*, M.F. Wheeler, T. Wick
Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model,
Comp. Meth. Appl. Mech. Engrg., Volume 305, 15 June 2016, Pages 111-132
ICES Report 16-04 Journal
5. S. Lee, A. Mikelic, M. F. Wheeler*, T. Wick
Phase-field modeling of proppant-filled fractures in a poroelastic medium,
Comp. Meth. Appl. Mech. Engrg. Volume 312, 2016, Pages 509 - 541. Phase Field Approaches to Fracture DOI: 10.1016/j.cma.2016.02.008, 2016
ICES Report 16-03 Journal
4. T. Wick*, S. Lee, M.F. Wheeler
3D Phase-field for pressurized fracture propagation in heterogeneous media
VI International Conference on Computational Methods for Coupled Problems in Science and Engineering 2015 Proceedings
preprint Link
3. A. Bonito*, J-L. Guermond, S. Lee
Numerical Simulations of Bouncing Jets,
International Journal for Numerical Methods in Fluids, 2016, 80:53-75
arXiv Journal
2. A. Bonito*, J-L. Guermond, S. Lee
Modified Pressure-Correction Projection Methods: Open Boundary and Variable Time Stepping,
Numerical Mathematics and Advanced Applications - ENUMATH 2013, Lecture Notes in Computational Science and Engineering, 103, 623--631, 2015.
preprint Link
1. S. Lee, E.Q. Li*, J.O. Marston, A. Bonito, S.T. Thoroddsen;
Leaping shampoo glides on a lubricating layer; Phys. Rev. E. (Rapid Communication), 87(6), 4 pages, 2013.
preprint Journal

Ph.D. Thesis

1. S. Lee;
Numerical Simulations of Bouncing Jets;
PhD Thesis, Texas A&M University, 2014.
preprint TAMU