Faculty Profiles

Hong, Q., Jia, J., Lee, Y. J., & Li, Z. (2025). Greedy Algorithm for Neural Networks for Indefinite Elliptic Problems. Journal of Scientific Computing, 104.

Lin, Y., Jia, J., Lee, Y. J., & Zhang, R. (2025). Orthogonal greedy algorithm for linear operator learning with shallow neural network. Journal of Computational Physics.

Vuong, M. P., Lee, Y. J., Ojeda-Ruiz, I., & Lee, C. H. (n.d.). FairAD: Computationally Efficient Fair Graph Clustering via Algebraic Distance.

Gong, S., Lee, Y. J., Li, Y., & Yu, Y. (2025). Positivity and maximum principle preserving discontinuous Galerkin finite element schemes for a coupled flow and transport. Journal of Scientific Computing.

Hong, Q., Lee, Y. J., & Xu, J. (2025). On the Sharpness of a Korn’s inequality for piecewise H1 space and its applications. Journal of Scientific Computing, 102.

Lee, Y. J., & Park, J. (2024). On the linear convergence of additive schwarz methods for the p-Laplacian. IMA Journal of Numerical Analysis, 0.

Hao, W., Lee, Y. J., & Lee, S. (2024). Companion-Based Multi-Level Finite Element Method for Computing Multiple Solutions of Nonlinear Differential Equations. Computers and Mathematics with Applications, 168.

Rajan, A., Kim, I., Lee, Y. J., & Sheen, D. (2024). An efficient flux-variable approximation scheme for Darcy’s flow. Numerical Methods for Partial Differential Equations, 40.

Lee, S., Ha, M., lee, Y. J., & Seol, Y. (2024). Time-Inhomogeneous Hawkes Processes and its Financial Applications. AIMS Mathematics, 9(7).

Li, Z., Jia, J., Liao, G., Lee, Y. J., & Liu, S. (2023). Neural network method and multiscale modeling of the COVID-19 epidemic in Korea. The European Physical Journal Plus.

Choi, Y., Jo, G., Kwak, D., & Lee, Y. J. (2022). Locally conservative discontinuous bubble scheme for Darcy flow and its application to Hele-Shaw equation based on structured grid. Numerical Algorithms, 1–26.

Jaracz, J. S., & Lee, Y. J. (2022). Existence and Stability of Global Solutions to a regularized Oldroyd-B Model in its Vorticity Formulation. Journal of Differential Equations, 327, 259–321.

Jo, G., Lee, Y. J., & Ojeda-Ruiz, I. (2022). 2D and 3D image reconstruction from slice data based on a constrained bilateral smoothing and dynamic mode decomposition. Applied Mathematics and Computation.

Kim, S., Kim, M., Lee, S., & Lee, Y. J. (2021). Discovering spatiotemporal patterns of COVID-19 pandemic in South Korea. Scientific Reports, 11.

Lee, Y. J., & Li, H. (2021). The Macroelement Analysis for Axisymmetric Stokes Equations. Computers and Mathematics with Applications.

Jafari, E., Lee, Y. J., Lee, G.-H., & Kim, N. (2021). Quasi-Static Secondary Flow Regions Formed by Microfluidic Contraction Flows of CTAB/NaSal Wormlike Micellar Solutions. Physics of Fluids, 33(9).

Jafari, E., Lee, Y. J., Na, H. J., You, B. H., Lee, M. Y., & Kim, N. (2021). Effects of NaCl and Temperature on Rheological Characteristics and Structures of CTAB/NaSal Wormlike Micellar Solutions. Journal of Industrial and Engineering Chemistry, 98, 458–464.

Hu, K., Lee, Y. J., & Xu, J. (2021). Helicity conservative finite element  discretizations for MHD systems. Journal of Computational Physics.

Jo, G., Kwak, D., & Lee, Y. J. (2021). Locally conservative enriched immersed finite element method (EIFEM) for elliptic interface problems with a fast solver. Journal of Scientific Computing. Retrieved from Texas State University, San Marcos, TX 78666

Odeja-Ruiz, I., & Lee, Y. J. (2020). A fast constrained image segmentation algorithm. Results in Applied Mathematics, 8. Retrieved from 2450 Great Oaks Dr.

Jia, J., Lee, Y. J., Feng, Y., Wang, Z., & Zhao, Z. (2020). Hybridized Weak Galerkin Finite Element Methods for Brinkman Equations. Electronic Research Archive.

Seo, J.-H., Tsuda, I., Lee, Y. J., Ikeda, A., Matsuhashi, M., Matsumoto, R., … Kang, H. (2020). Pattern Recognition in Epileptic EEG Signals via Dynamic Mode Decomposition. Mathematics, 8(4).

Jafari Nodoushan, E., Yi, T., Lee, Y. J., & Kim, N. (2019). Wormlike Micellar Solutions, Beyond the Chemical Enhanced Oil Recovery Restrictions. Fluids, 4.

Li, K., Lee, Y. J., & Starkey, C. (2018). A new boundary condition for rate-type non-Newtonian diffusive models and the stable MAC scheme. Journal of Computational Mathematics, 36, 605–626.

Ku, J., Lee, Y. J., & Sheen, D. (2017). A hybrid two-step finite element method for flux approximation: a priori estimates. ESIAM: Mathematical Modeling and Numerical Analysis, 51, 1303–1316.

Jin, G., Lee, Y. J., & Li, H. (2017). Regularity estimates and optimal finite element methods. Computers & Mathematics with Applications, 74, 2089–2105.

Lee, Y. J., Leng, W., & Zhang, C. (2016). A stable and scalable hybrid solver for rate-type non-Newtonian fluid models. Journal of Computational and Applied Mathematics, 300.

Lee, S., Lee, Y. J., & Wheeler, M. (2016). A Locally Conservative Enriched Galerkin Approximation and Efficient Solver for Elliptic and Parabolic Problems. SIAM Journal on Scientific Computing, 38(3).

Kang, H., & Lee, Y. J. (2016). A three-species model for wormlike micellar fluids. Computers and Mathematics with Applications, 71(7).

Lee, Y. J. (2015). Analysis of Two Grid method for Solving Higher-Order Finite Element Methods. Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms, 22.

Huh, S., Lee, Y. J., Gornowicz, G., & Henderson, R. D. (2014). Fast and Robust Continuous Collision Detection (fastCCD). United States. Retrieved from 2450 Great Oaks Drive

Hu, X., Lee, Y. J., Xu, J., & Zhang, C. (2014). On Adaptive Eulerian–Lagrangian Method for Linear Convection–Diffusion Problems. Journal of Scientific Computing, 58(1).

Lee, Y. J., & Li, H. (2012). Axisymmetric Stokes Equations in Polygonal Domains: Regularity and Finite Element Approximations. Computers and Mathematics with Applications, 64.

Niu, X., Lee, Y. J., Stringfellow, G., & Liu, F. (2012). Simulation of self-assembled compositional core-shell structures in InGaN nanowires. Physical Review B, 85.

Lee, Y. J., Xu, J., & Zhang, C. (2011). GLOBAL EXISTENCE, UNIQUENESS AND OPTIMAL SOLVERS OF DISCRETIZED VISCOELASTIC FLOW MODELS. Mathematical Models and Methods in Applied Sciences, 21.

Lee, Y. J., & Li, H. (2011). On Stability, Accuracy, and Fast Solvers for Finite Element Approximations of the Axisymmetric Stokes Problem by Hood–Taylor Elements. SIAM Journal on Numerical Analysis, 49(2).

Lee, Y. J. (2009). Uniform stability analysis of Austin, Manteuffel and McCormick finite elements and fast and robust iterative methods for the Stokes-like equations. Numerical Linear Algebra with Applications.

Reich, J. M., Niu, X., Lee, Y. J., Caflisch, R. E., & Ratsch, C. (2009). Lateral alloy segregation in thin heteroepitaxial films. Physical Review B, 79.

Lee, Y. J., Wu, J., & Chen, J. (2009). Robust multigrid method for the planar linear elasticity problems. Numerische Mathematik, 113(3), 473--496.

Wu, J., Lee, Y. J., Xu, J., & Zikatanov, L. (2008). CONVERGENCE ANALYSIS ON ITERATIVE METHODS FOR SEMIDEFINITE SYSTEMS. Journal of Computational Mathematics, 26, 797--815.

Niu, X., Lee, Y. J., Caflisch, R. E., & Ratsch, C. (2008). Optimal Capping Layer Thickness for Stacked Quantum. Physical Review Letters, 101.

Lee, Y. J., Wu, J., Xu, J., & Zikatanov, L. (2007). ROBUST SUBSPACE CORRECTION METHODS FOR NEARLY SINGULAR SYSTEMS. Mathematical Models and Methods in Applied Sciences, 17(11).

Lee, Y. J., Wu, J., Xu, J., & Zikatanov, L. (2007). A Sharp Convergence Estimate for the Method of Subspace Correction for Singular Systems. Mathematics of Computation, 77, 831--850.

Lee, Y. J., Wu, J., Xu, J., & Zikatanov, L. (2006). On the convergence of iterative methods for semidefinite linear systems. SIAM Journal on Matrix Analysis and Applications, 28(3), 634--644.

Lee, S., Caflisch, R. E., & Lee, Y. J. (2006). Exact Artificial Boundary Conditions for Continuum and Discrete Elasticity. SIAM Journal on Applied Mathematics, 66, 1749--1775.

Caflisch, R. E., Lee, Y. J., Shu, S., Xiao, Y.-X., & Xu, J. (2006). An application of multigrid methods for a discrete elastic model for epitaxial systems, 219(2), 697--714.

Lee, Y. J., & Xu, J. (2006). New Formulations, Positivity Preserving Discretizations and Stability Analysis for non- Newtonian Flow models. Computer Methods in Applied Mechanics and Engineering, 195, 1180--1206.