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Longfei Li

Longfei Li
Assistant Professor
Applied Mathematics

433 Maxim Doucet Hall

Longfei Li's webpage

Ph.D., 2014, University of Delaware
M.S., 2011, University of Delaware
B.S., 2009, Sichuan University

Dr. Li earned his B.S. in Mathematics from Sichuan University in 2009, and received his M.S. and Ph.D. in Applied Mathematics from the University of Delaware under the supervision of Professor Richard Braun in 2011 and 2014, respectively. Dr. Li was subsequently appointed the Margaret A. Darrin Postdoctoral Fellow at Rensselaer Polytechnic Institute (RPI) working with Professor Henshaw, before joining the faculty in the Department of Mathematics at the University of Louisiana at Lafayette as an assistant professor in August, 2017.

Dr. Li's research interests broadly lie in the development, analysis and implementation of high-performance computational algorithms to solve partial differential equations (PDEs) and the formulation of mathematical models for multi-physics problems. He has worked on the development of stable and accurate algorithms for solving fluid-structure interaction (FSI) problems and the incompressible Navier-Stokes (INS) equations. He has also worked on modeling and computing the dynamics of human tear film to help understand the physiology of Dry Eye Syndrome. Dr. Li is a member of the development team of Overture (lead by Dr. Henshaw at RPI), an object oriented framework for the solution of PDEs on overlapping grids; the software is freely available at this link.

Selected research publications:

  • Computed Flow and Fluorescence Over the Ocular Surface (with R. J. Braun, W. D. Henshaw and P. E. King-Smith), Math. Med. Biol., (2017) (In press).
  • A stable partitioned FSI algorithm for incompressible flow and deforming beams (with W. D. Henshaw, J. W. Banks, D. W. Schwendeman and G. A. Main), J. Comput. Phys., 312 (2016), 272–306.
  • Computed tear film and osmolarity dynamics on an eye-shaped domain (with R. J. Braun, T. A. Driscoll, W. D. Henshaw, J. W. Banks and P. E. King-Smith), Math. Med. Biol., 33 (2015), 123–157.
  • Dynamics and function of the tear film in relation to the blink cycle (with R. J. Braun, P. E. King-Smith, C. G. Begley and N. R. Gewecke), Prog. Retin. Eye Res., 45 (2015), 132–164.
  • Tear film dynamics with evaporation, wetting and time-dependent flux boundary condition on an eye- shaped domain (with R. J. Braun, K. L. Maki, W. D. Henshaw and P. E. King-Smith), Phys. Fluids, 26 (2014), 052101.
  • A model for the human tear film with heating from within the eye, L. Li and R. J. Braun, Phys. Fluids, 24 (2012), 062103.