Sanghyun Lee, PhD
| 53. | Hyun-Geun Shin, Yi-Yung Yang, Sanghyun Lee* A Posteriori Error Estimation for Parabolic Equations with Enriched Galerkin Finite Element Methods | arXiv | Submitted | |||
| 52. | Dmitri Kuzmin, Sanghyun Lee*, Yi-Yung Yang Bound-preserving and entropy stable enriched Galerkin methods for nonlinear hyperbolic equations | arXiv | Submitted | |||
| 51. | Sanghyun Lee, Henry von Wahl*, Thomas Wick A thermo-flow-mechanics-fracture model employing a high-accuracy phase-field interface approach, International Journal for Numerical Methods in Engineering | Journal | ||||
| 50. | Sanghyun Lee*, Mary F. Wheeler, Thomas Wick A phase-field diffraction model for thermo-hydro-mechanical propagating fractures, Volume 239, April 2025, 126487, International Journal of Heat and Mass Transfer | Journal | ||||
| 49. | SeongHee Jeong*, Sanghyun Lee Optimal Control for Darcy's flow in a heterogeneous porous media, Applied Numerical Mathematics, Volume 207 , January 2025, Pages 303-3222 | Journal | ||||
| 48. | Alan Sze*, Sanghyun Lee, David Katz Finite element simulation of dynamic brittle fracture using the phase-field approach | submitted | ||||
| 47. | Son-Young Yi, Sanghyun Lee* Physics-preserving enriched Galerkin method for a fully-coupled thermo-poroelasticity model, Numerische Mathematik, 2024 | Journal | ||||
| 46. | Sanjeeb Poudel*, Xiaoqiang Wang, Sanghyun Lee A novel technique for minimizing energy functional using neural networks, Volume 133, Part D, July 2024, 108313, Engineering Applications of Artificial Intelligence | Journal | ||||
| 45. | Francesco Ballarin*, Sanghyun Lee, Son-Young Yi Projection-based reduced order modeling of an iterative scheme for linear thermo-poroelasticity, Results in Applied Mathematics Volume 21, February 2024, 100430 | arXiv | Journal | |||
| 44. | Sanghyun Lee, Yeonjong Shin* On the training and generalization of deep operator networks, Vol. 46, Iss. 4 (2024), SIAM Journal on Scientific Computing | arXiv | Journal | |||
| 43. | Yifan Dai, Bing Hou*, Sanghyun Lee, Thomas Wick A thermal-hydraulic-mechanical-chemical coupling model for acid fracture propagation based on a phase-field method, Rock Mechanics and Rock Engineering , 10.1007/s00603-024-03769-x, Volume 57, pages 4583-4605, 2024 | Journal | ||||
| 42. | S. Lee, S-Y Yi* Locking-free and locally-conservative enriched Galerkin method for poroelasticity, Journal of Scientific Computing, volume 94, Article number: 26 (2023) | Journal | ||||
| 41. | T. Kadeethum et al. Enhancing high-fidelity nonlinear solver with reduced order model, Scientific Reports , 12 (1), 1-15, 2022 | Journal | ||||
| 40. | S-Y Yi, X. Hu, S. Lee*, J. H. Adler An Enriched Galerkin method for the Stokes equations, Computers & Mathematics with Applications, Volume 120, 15 August 2022, Pages 115-131 | arXiv | Journal | |||
| 39. | B. Hou, Y. Dai, M. Fan, K. Zhang, T. Wick, S. Lee Numerical simulation of pores connection by acid fracturing based on phase field method, Acta Petrolei Sinica, 2022, 43(6), pp. 849-859 | Preprint | Journal | |||
| 38. | S.Lee, T. Kadeethum Physics-Informed neural newtworks for solving coupled flow and transport system, AAAI 2021 | Journal | ||||
| 37. | S-Y Yi*, S. Lee, L Zikatanov Locking-free enriched Galerkin method for linear elasticity, 2022, 60:1, 52-75 SIAM Numerical Analysis | Journal | ||||
| 36. | 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, https://doi.org/10.1016/j.cageo.2021.104774, Computer & Geosciences 2021 | arXiv | Journal | |||
| 35. | S. Lee, S.M. Mallikarjunaiah, H. Yoon* Finite element simulation of quasi-static tensile fracture in nonlinear strain-limiting solids with the phase-field approach, Journal of Computational and Applied Mathematics , Vol 399, 1 January 2022, 113715 | Journal | ||||
| 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, Int. J. Numer. Anal. Mod., 21 (2024), pp. 764-792. | arXiv | Journal | |||
| 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:https://doi.org/10.1016/j.jcp.2020.110030, 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) | Preprint | Journal | |||
| 30. | T. Kadeethum*, S. Lee, H.M. Nick Finite Element Solvers for Biot's Poroelasticity Equations in Porous Media, https://doi.org/10.1007/s11004-020-09893-y, 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, https://doi.org/10.1016/j.cma.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, https://doi.org/10.1016/j.advwatres.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, https://doi.org/10.1016/j.apnum.2019.09.010 |
- | 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, https://doi.org/10.2118/193862-MS |
- | SPE | |||
| 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, https://doi.org/10.2118/193830-MS |
- | SPE | |||
| 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, https://doi.org/10.1016/j.jcp.2018.03.031, 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, https://doi.org/10.1137/17M1145239, 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 |
- | SPE RSC | |||
| 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/j.jcp.2017.01.021 |
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/j.jcp.2016.10.072 |
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/j.cam.2016.10.022 |
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 |