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

Sanghyun Lee, PhD

37. T. Kadeethum*, S.Lee, F. Ballarin, J. Choo, H.M. Nick
A Locally Conservative Finite Element Framework for Coupled Hydro-Mechanical-Chemical Processes in Heterogeneous Porous Media, Volume 152, 104774,, Computer & Geosciences 2021
arXiv Journal
36. S-Y Yi*, S. Lee, L Zikatanov
Locking-free enriched Galerkin method for linear elasticity, 2021, submitted
35. S. Lee, S.M. Mallikarjunaiah, H. Yoon*
Nonlinear strain-limiting Elasticity for Fracture Propagation with Phase-Field Approach, submitted 2020
arXiv in review
34. S. Lee*, T. Kadeethum, H. M. Nick
Choice of Interior Penalty Coefficient for Interior Penalty Discontinuous Galerkin Method for Biot's System by Employing Machine Learning, in revision, 2020
arXiv in review
33. T. Kadeethum*, H.M. Nick, S. Lee, F. Ballarin
Enriched Galerkin Discretization for Modelling Poroelasticity and Permeability Alteration in Heterogeneous Porous Media, 2021, DOI:, Journal of Computational Physics,
arXiv Journal
32. H.Yoon, S. Lee, S.M. Mallikarjunaiah*
Quasi-Static Anti-Plane Shear Crack Propagation in a New Class of Nonlinear Strain-Limiting Elastic Solids using Phase-Field Regularization, 2021, International Journal of Fracture
arXiv Journal
31. M. F. Wheeler*, S. Lee
Hydraulic Fracture Propagation Simulations in Porous Media with Natural Fractures by IPACS, 2020; Unconventional Resources Technology Conference, 20-22 July 2020. Unconventional Resources Technology Conference (URTeC)
30. T. Kadeethum*, S. Lee, H.M. Nick
Finite Element Solvers for Biot's Poroelasticity Equations in Porous Media,, Mathematical Geosciences 2020
- Journal
29. A. Rupp, S.Lee*
Continuous Galerkin and enriched Galerkin methods with arbitrary order discontinuous trial functions for the elliptic and parabolic problems with jump conditions, Journal of Scientific Computing, 84, 9 (2020)
- Journal
28. M.F. Wheeler*, T. Wick, S. Lee
IPACS: Integrated Phase-Field Advanced Crack Propagation Simulator. An adaptive, parallel, physics-based-discretization phase-field framework for fracture propagation in porous media, Computer Methods in Applied Mechanics and Engineering, Volume 367, 1 August 2020, 113124,
- Journal
27. T. Kadeethum*, H.M. Nick, S. Lee, F. Ballarin
Flow in porous media with low dimensional fractures by employing enriched Galerkin method Advances in Water Resources, Volume 142, August 2020, 103620,
- Journal
26. S. Lee*, M. F. Wheeler
Modeling interactions of natural and two phase fluid filled fracture propagation in porous media, Computational Geoscience, DOI: 10.1007/s10596-020-09975-0, 2020
- Journal
25 W. Choi, S. Lee*
Optimal error estimate of elliptic problems with Dirac sources for discontinuous and enriched Galerkin methods
Applied Numerical Mathematics, Volume 150, April 2020, Pages 76-104,
- Journal
24. 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 IAMG
23. 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 ARMA
22. 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,
21. 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,
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,
International Journal for Numerical and Analytical Methods in Geomechanics, Volume43, Issue6 25 April 2019 Pages 1316-1340, 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