About me

I am an assistant professor at the Department of Mathematics, City University of Hong Kong. I am interested in developing efficient numerical schemes for partial differential equations. In particular, I have developed polygonal staggered discontinuous Galerkin methods for various PDEs such as Brinkman equations, Navier-Stokes equations and Darcy-Forchheimer equations and so on. A full publication list is also available at google scholar. I am open for collaboration, if you are interested in my research, please feel free to contact me (email:linazha@cityu.edu.hk) for further discussions and/or collaborations.

Research Interests

Professional services

  • Reviewer for AMS Mathematical Reviews
  • Review Editor for Frontiers in Applied Mathematics and Statistics (Numerical Analysis and Scientific Computation)

    • Open positions

    Publications

    (* indicates corresponding author)
    Submitted
    [1] Shubin Fu, Eric Chung and Lina Zhao*, An adaptive preconditioner for three dimensional single phase compressible flow in highly heterogeneous porous media.
    [2] Dohyun Kim, Lina Zhao, Eric Chung and Eun-Jae Park, Pressure-robust staggered DG methods for the Navier-Stokes equations on general meshes, arXiv:2107.09226.
    [3] Lina Zhao, Refined a priori and a posteriori error analysis of TDNNS method for linear elasticity problem under minimal regularity, submitted.
    [4] Lina Zhao and Eric Chung, Constraint energy minimizing generalized multiscale finite element method for convection diffusion equation, submitted.
    [5] Lina Zhao, An optimally convergent staggered mixed method for the biharmonic problem based on the first-order system., submitted
    [6] Shubin Fu, Eric Chung and Lina Zhao*, An efficient multiscale preconditioner for large-scale highly heterogeneous flow, submitted.
    [7] Lina Zhao, A priori and a posteriori error analysis for the stress-velocity formulation of a quasi-Newtonian Stokes flow, submitted.
    2022
    [1] Lina Zhao, Dohyun Kim, Eun-Jae Park, and Eric Chung, Staggered DG method with small edges for Darcy flows in fractured porous media, Journal of Scientific Computing, 90 (2022).
    [2] Lina Zhao, Analysis of a mixed DG method for stress-velocity formulation of the Stokes equations, Journal of Scientific Computing, 92 (2022).
    [3] Lina Zhao, Eun-Jae Park and Wonjong Kim, A novel staggered cell-centered DG method for the biharmonic Steklov problem on polygonal meshes: a priori and a posteriori analysis, Computers and Mathematics with Applications, 117 (2022), pp. 216-228.
    [4] Shubin Fu, Eric Chung and Lina Zhao*, Generalized multiscale finite element method for highly heterogeneous compressible flow, accepted by SIAM Multiscale Modeling and Simulation.
    [5] Lina Zhao and Eun-Jae Park, A staggered discontinuous Galerkin method for quasi-linear second order elliptic problems of nonmonotone type, Computational Methods in Applied Mathematics, 2022.
    [6] Lina Zhao, A Robin-type domain decomposition method for a novel mixed-type DG method for the coupled Stokes-Darcy problem, arXiv:2109.14825, accepted by SIAM Journal on Scientific Computing.
    [7] Lina Zhao, Eric Chung and Eun-Jae Park, A locking free staggered DG method for the Biot system of poroelasticity on general polygonal meshes, arXiv:2107.09226, accepted by IMA Journal of Numerical Analysis.
    [8] Lina Zhao and Eric Chung, Adaptive staggered DG method for Darcy flows in fractured porous media, arXiv:2006.05294, accepted by Computational Geosciences.
    [9] Lina Zhao, Eun-Jae Park and Eric Chung, A pressure robust staggered discontinuous Galerkin method for the Stokes equations, arXiv:2007.00298, accepted by Computers and Mathematics with Applications.
    [10] Lina Zhao and Shuyu Sun, A strongly mass conservative method for the coupled Brinkman-Darcy flow and transport, arXiv:2112.05943, accepted by SIAM Journal on Scientific Computing.
    2021
    [1] Lina Zhao, Ming Fai Lam, and Eric Chung, A uniformly robust staggered DG method for the unsteady Darcy-Forchheimer-Brinkman problem , Communications on Applied Mathematics and Computation, 2021.
    [2] Lina Zhao, Eric Chung, Eun-Jae Park, and Guanyu Zhou, Staggered DG method for coupling of the Stokes and Darcy-Forchheimer problems, SIAM Journal on Numerical Analysis, 59 (2021), pp. 1–31.
    [3] Eric Chung, Hyea-Hyun Kim, Ming-Fai Lam and Lina Zhao, Learning adaptive coarse spaces of BDDC algorithms for stochastic elliptic problems with oscillatory and high contrast coefficients, Mathematical and Computational Applications, 26 (2021).
    [4] Yiran Wang, Eric Chung and Lina Zhao*, Constraint energy minimization generalized multiscale finite element method in mixed formulation for parabolic equations, Mathematics and Computers in Simulation, 188 (2021), pp. 455-475.
    [5] Dohyun Kim, Lina Zhao and Eun-Jae Park, Review and Efficient Implementation of Staggered DG methods on Polygonal Meshes, J. Korean Soc. Ind. Appl. Math., 25 (2021), pp. 66-81.
    2020
    [1] Lina Zhao, Eun-Jae park, and Eric Chung, Staggered discontinuous Galerkin methods for the Helmholtz equations with large wave number, Computers and Mathematics with Applications, 80 (2020), pp. 2676-2690.
    [2] Dohyun Kim, Lina Zhao, and Eun-Jae Park, Staggered DG methods for the pseudostress-velocity formulation of the Stokes equations on general meshes, SIAM J. Sci. Comput., 42 (2020), pp. A2537-A2560.
    [3] Lina Zhao and Eun-Jae Park, A staggered cell-centered DG method for linear elasticity on polygonal meshes, SIAM J. Sci. Comput., 42 (2020), pp. A2158-A2181.
    [4] Lina Zhao and Eric T. Chung, An analysis of the NLMC upscaling method for high contrast problems, Journal of Computational and Applied Mathematics, 367 (2020).
    [5] Lina Zhao and Eun-Jae Park, A lowest-order staggered DG method for the coupled Stokes-Darcy problem, IMA Journal of Numerical Analysis, 40 (2020), pp. 2871-2897.
    [6] Lina Zhao and Eun-Jae Park, A new hybrid staggered discontinuous Galerkin method on general meshes, Journal of Scientific Computing, 82 (2020), 12.
    [7] Lina Zhao, Eric Chung and Ming Fai Lam, A new staggered DG method for the Brinkman problem robust in the Darcy and Stokes limits, Computer Methods in Applied Mechanics and Engineering, 364 (2020).
    2019
    [1] Lina Zhao, Eun-Jae Park and Dong-wook Shin, A staggered DG method of minimal dimension for the Stokes equations on general meshes, Computer Methods in Applied Mechanics and Engineering, 345 (2019), pp. 854–875.
    [2] Lina Zhao and Eun-Jae Park, A priori and a posteriori error analysis of a staggered discontinuous Galerkin method for convection dominant diffusion equations, Journal of Computational and Applied Mathematics, 346 (2019), pp. 63–83.
    2018
    [1] Lina Zhao and Eun-Jae Park, A staggered discontinuous Galerkin method of minimal dimension on quadrilateral and polygonal meshes, SIAM Journal on Scientific Computing, 40 (2018), pp. A2543–A2567.
    [2] Eric T. Chung, Eun-Jae Park and Lina Zhao, Guaranteed a posteriori error estimates for a staggered discontinuous Galerkin method, Journal of Scientific Computing, 75 (2018), pp. 1079–1101.
    [3] Lina Zhao and Eun-Jae Park, Fully computable bounds for a staggered discontinuous Galerkin method for the Stokes equations, Computers and Mathematics with Applications, 5 (2018), pp. 4115–4134.

    Conferences

    Conferences organized
    1. MS16: Polygonal Finite Elements, DG, and Related Methods, DD XXVI: Internatioanl Conference on Domain Decomposition Methods, December 7-12, 2020, The Chinese University of Hong Kong, Hong Kong
    2. MS6, MS22, and MS35: Recent Advances in Polygonal Methods and their Applications, SIAM Conference on Analysis of Partial Differential Equations (PD22), March 14-18, 2022
    3. MS87 and MS116: SIAM Annual Meeting, David L. Lawrence Convention Center Pittsburgh, Pennsylvania, U.S., July 11-15, 2022.
    Selected invited presentations
    1. Polytopal Element Methods in Mathematics and Engineering (POEMS 2022), Politecnico di Milano, December 12-14, 2022, Milan, Italy.
    2. MS8: SIAM Annual Meeting, David L. Lawrence Convention Center Pittsburgh, Pennsylvania, U.S., July 11-15, 2022.
    3. International Conference on Computational Science (ICCS 2022), London, United Kingdom , June 21-23, 2022 (Attending online).
    4. ECCOMAS CONGRESS 2022, 5-9 June 2022, Oslo, Norway (Cancelled due to travel restrictions).
    5. SIAM Conference on Analysis of Partial Differential Equations (PD22) (virtual), March 14-18, 2022.
    6. Chemnitz FE Symposium 2021, TU Chemnitz campus, Germany, September 06-08, 2021.
    7. The 18th European Finite Element Fair, Inria Paris, France, September 10-11, 2021.
    8. SIAM Conference on Mathematical & Computational Issues in the Geosciences (GS21), Politecnico di Milano | Milan, Italy, June 21-24, 2021.
    9. DD 26: Internatioanl Conference on Domain Decomposition Methods, Hong Kong, December 7-11, 2020.
    10. SIAM Conference on Analysis of Partial Differential Equations, La Quinta, USA, December 11-14, 2019.
    11. High Order Structure-Preserving Numerical Methods: Algorithms, Analysis and Applications, Sanya, China, January 15, 2019.
    12. ICCM 2018, Seoul, Korea, September 29, 2018
    13. International Conference on Domain Decomposition Methods (DD XXIV), Longyearbyen, Norway, February 7, 2017.
    14. The 12th World Congress on Computational Mechanics (WCCM XXIII), Seoul, Korea, July 24-29, 2016.
    15. The 10th International Conference on Scientific Computing and Applications (ICSCA 2016), Toronto, Canada, June 6-10, 2016.
    16. International Conference on Domain Decomposition Methods (DD XXIII), Jeju Island, Korea, July 7, 2015.