Research Interests

  • ​​Numerical methods for partial differential equations
  • Preconditioning techniques for linear systems
  • High performance computing
  • Inverse problem
  • Multiscale finite element methods
  • Isogeometric analysis​

Selected Publications

  • On long-time instabilities in staggered finite difference simulations of the seismic acoustic wave equations on dis...
    L. Gao, D. Ketcheson, D.E. Keyes
    Geophysical Journal International, volume 212, issue 2, pp. 1098-1110, (2018)
  • Application of the generalized multiscale finite element method in parameter-dependent PDE simulations with a varia...
    L. Gao, X. Tan, E. T. Chung
    Journal of Computational and Applied Mathematics, 300 pp. 183191., (2016)
  • Using time filtering to control the long-time instability in seismic wave simulation
    L. Gao, R. Brossier, J. Virieux,
    Geophysical Journal International 204, 3 pp. 14431461, (2016)
  • An immersed free surface boundary treatment for seismic wave simulation
    L. Gao, R. Brossier, B. Pajot, J. Tago, J. Virieux
    GEOPHYSICS 80, 5 pp. T193T209, (2015)
  • Preconditioners based on the Alternating-Direction-Implicit algorithm for the 2D steady-state diffusion equation wi...
    L. Gao and V. Calo
    Journal of Computational and Applied Mathematics, 273 pp. 274295, (2015)
  • Fast Isogeometric Solvers for Explicit Dynamics, Computer Methods
    L. Gao and V. Calo,
    in Applied Mechanics and Engineering, 274 , pp. 1941. Website, (2014)

Education Profile

  • ​PhD in Applied Mathematics and Computational Science, King Abdullah University of Science and Technology (KAUST), Nov, 2013
  • BS in Mathematics and Applied Mathematics, Jinan University (JNU), Guangzhou, China, Jun, 2010

Professional Profile

  • ​Postdoctoral Researcher, Extreme Computing Research Center, King Abdullah University of Science and Technology, Thuwal, Saudi Arabia (Feb, 2016 - )
  • Postdoctoral Researcher,  Joseph Fourier University, France, (Jan 2014 - Dec 2015)

Scientific and Professional Memberships

  • ​Member, Society for Industrial and Applied Mathematics (SIAM

KAUST Affiliations

  • ​​Extreme Computing Research Center