Research
Reduced order modeling, Large eddy simulations, Compuatational and geophysical fluid dynamics, Inverse problems, Numerical analysis
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My research interests lie around computational mathematics and numerical analysis. More specifically, I develop computational models for different physical problems (e.g., fluid-structure interaction, geophysical flows, particle transport) which are robust, accurate, and efficient through the use of different stabilization techniques like in large eddy simulations, and methods from reduced order modeling of dynamical systems.
Articles:
Pre-print or in-press:
L. Besabe, H. Lee, Finite element approximation for a reformulation of a 3D fluid–2D plate interaction system, submitted (2026) arXiv:2602.05701
L. Besabe, E. Jose, A.K. Tapia, A cellular automata model for particle transport in disordered systems, submitted (2025), arXiv:2502.02298 code
Published:
L. Besabe, M. Girfoglio, A. Quaini, G. Rozza, Randomized Proper Orthogonal Decomposition for data-driven reduced order modeling of a two-layer quasi-geostrophic ocean model, Advances in Computational Science and Engineering 7 (2026) p. 1-27. preprint
L. Besabe, M. Girfoglio, A. Quaini, G. Rozza, Data-driven reduced order modeling of a two-layer quasi-geostrophic ocean model, Results in Engineering 25 (2025) 103691 doi preprint
L. Besabe, M. Girfoglio, A. Quaini, G. Rozza, Linear and nonlinear filtering for a two-layer quasi-geostrophic ocean model, accepted, Applied Mathematics and Computation 488 (2025) 129121. doi preprint
L. Besabe, D. Onofrei, Active control of scalar Helmholtz fields in the presence of known impenetrable obstacles. AMS Contemporary Mathematics 784 (2023) p. 189 - 206. doi.org/10.1090/conm/784/15760
Reports (not peer-reviewed):
L. Besabe, H. Bhatt, K. Calman, J. Chen, N. de Silva, S. Dodamgodage, M. Najaf, R. Rodrigues, T. Samakhoana, H. Boateng, Randomized Matrix Sketching and Least Squares Methods for Classification Problems, SIAM Graduate Student Mathematical Modelling Camp (GSMMC) 2025. pdf
D. Auddya, L. Besabe, M. Chugunova, S. Moreno Cristobal, X. Hu, C. Hao, M. Mejia, R. Moore, T. Pothisawang, R. Rassool, S. Sattari, K. Sehgal, Maturing Homomorphic Encryption (HE) to Enable Privacy Preserving Vector Search, Mathematical Problems in Industry Workshop, 2025.
Talks:
(upcoming) AMS Southeastern Sectional Meeting 2026, March 2026
Joint Mathematical Meetings 2026, January 2026
Clemson Computational Mathematics Seminar, November 2025
3rd UNCG PDE Virtual Conference, October 2025
12th Mini-Conference on Computational Mathematics, September 2025
Joint Mathematical Meetings 2025, January 2025
Reduced Order Modeling and Machine Learning for Large Eddy Simulation and Related Topics, October 2024
7th SIAM TX-LA Sectional Meeting, October 2024
Three-minute thesis event (UH College of Natural Sciences and Mathematics), October 2024
Three-minute thesis event (UH Math Department), October 2024
Joint Mathematical Meetings 2024, January 2024
6th SIAM TX-LA Sectional Meeting, November 2023.
Texas Differential Equations 2022, October 2022
SIAM Annual Meeting 2022, July 2022.
11th UPLB CAS Student-Faculty Research Conference, November 2018.
Slides:
Geophysical and Environmental Applications (GEA)
I am also a contributor to Geophysical and Environmental Applications (GEA).
GEA is an open-source package which is built upon the C++ finite volume library OpenFOAM. This is aimed at providing modular codes for the finite volume-based simulation of different environmental applications such as ocean and atmospheric flows.
Some simulations from GEA:
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