My Mendeley page Research papers and technical reports can be found on my Mendeley page.

Research Interests

  • Finite element methods and their applications
  • A posteriori error analysis and adaptive mesh refinement
  • Geometric and algebraic multilevel solvers
  • Multiphase and complex flows in porous media

Some Public Talks


Selected Publications

  • Numerical simulation of an immersed rotating structure in fluid for hemodynamic applications, with W. Leng, et al., Journal of Computational Science, 30 (2019)
  • On the ideal interpolation operator in algebraic multigrid methods, with X. Xu, SIAM Journal on Numerical Analysis, 56 (2018)
  • Analytical decoupling techniques for fully implicit reservoir simulation, with C. Qiao, S. Wu, and J. Xu, Journal of Computational Physics, 336 (2017)
  • A scalable hybrid solver for rate-type non-Newtonian fluid models, with Y.-J. Lee and W. Leng, Journal of Computational and Applied Mathematics, 300 (2016)
  • A multilevel preconditioner and its shared memory implementation for a new generation reservoir simulator, with S. Wu, et al., Petroleum Science, 11 (2014)
  • On adaptive Eulerian-Lagrangian method for linear convection-diffusion problems, with X. Hu, Y.-J. Lee, and J. Xu, Journal of Scientific Computing, 58 (2014)
  • Combined Preconditioning with Applications in Reservoir Simulation, with X. Hu, et al., SIAM Multiscale Modelling and Simulation, 11 (2013)
  • On the global existence and uniqueness of solutions to discretized viscoelastic flow models, with Y.-J. Lee and J. Xu, Math Models and Methods in Applied Sciences, 28 (2011)
  • Stable finite element discretizations for viscoelastic flow models, with Y.-J. Lee and J. Xu, Handbook of Numerical Analysis (HNA) Vol. 16 (2011)
  • A coarsening algorithm and multilevel methods on adaptive grids by newest vertex bisection, with L. Chen, Journal of Computational Mathematics, 28 (2010)
  • A posteriori error analysis for a class of integro-differential operators, with R. H. Nochetto, T. von Petersdorff, Numerische Mathematik, 116 (2010)
  • A posteriori error analysis for parabolic variational inequalities, with K.-S. Moon, R. H. Nochetto and T. von Petersdorff, ESAIM: M2NA, 47 (2007)
  • A modified augmented Lagrangian method for a class of monotone variational inequalities, with B.-S. He and H. Yang, European Journal of Operations Research, 159 (2004)

Graduate Students

  • Zhang, Kailei, master student, 09/2017—present
  • Zeng, Huilan, PhD student, 09/2016—present
  • Fan, Ronghong, PhD student, 09/2015—present
  • Xu, Xuefeng, PhD student, 09/2014—06/2019

Longterm Visitors

  • Teng, Wenchao, visiting master student (Chinese Univ of Petroleum, Qingdao), 09/2017—12/2017
  • Zou, Haifeng, visiting master student (Beijing Univ of Technology), 09/2016—06/2018
  • Li, Zheng, visiting PhD student (Kunming Univ of Science and Technology), 09/2014—12/2016