Publications

  1. "Numerical methods for fourth-order PDEs on overlapping grids with application to Kirchhoff-Love plates," L. Li, H. Ji and Q. Tang, J. Sci. Comput., submitted (2021). [preprint]
  2. "Stable and accurate numerical methods for generalized Kirchhoff-Love plates," D. TA Nguyen, L. Li and H. Ji, J. Eng. Math., 130(6) (2021). [link]
  3. "A split-step finite-element method for incompressible Navier-Stokes equations with high-order accuracy up-to the boundary," L. Li. J. Comput. Phys., 408,109274 (2020). [link]
  4. "Numerical methods for thermally stressed shallow shell equations," H. Ji and L. Li, J. Comput. Appl. Math. (2019). [link]
  5. "Computed flow and fluorescence over the ocular surface," L. Li, R. J. Braun, W. D. Henshaw and P. E. King-Smith, Math. Med. Biol. dqx011 (2017). [link]
  6. "A stable partitioned FSI algorithm for incompressible flow and deforming beams," L. Li, W. D. Henshaw, J. W. Banks, D. W. Schwendeman and G. A. Main, J. Comput. Phys. 312, 272--306 (2016). [link]
  7. "Computed tear film and osmolarity dynamics on an eye-shaped domain," L. Li, R. J. Braun, T. A. Driscoll, W. D. Henshaw, J. W. Banks and P. E. King-Smith, Math. Med. Biol. 33, 123--157 (2016). [link]
  8. "Dynamics and function of the tear film in relation to the b[link] cycle," R. J. Braun, P. E. King-Smith, C. G. Begley, L. Li and N. R. Gewecke, Prog. Retin. Eye Res. 45, 132--164 (2015). [link]
  9. "Tear film dynamics with evaporation, wetting and time-dependent flux boundary condition on an eye-shaped domain," L. Li, R. J. Braun, K. L. Maki, W. D. Henshaw and P. E. King-Smith, Phys. Fluids 26, 052101 (2014). (Editor selected research highlight with a press release) [link]
  10. "A model for the human tear film with heating from within the eye," L. Li and R. J. Braun, Phys. Fluids 24, 062103 (2012). (Editor selected research highlight) [link]
  11. "Mathematical models and numerical methods for human tear film dynamics," L. Li, Ph.D. thesis University of Delaware (2014). [link]