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Prof. ZHAO Lina (趙利娜)

PhD(Yonsei University, Seoul, South Korea)

Assistant Professor

Contact Information

Office:  Y6627 YEUNG
Phone: 3442-2295
Email: linazha@cityu.edu.hk
Web: Personal Homepage

Research Interests

  • Numerical Analysis and Scientific Computation
  • Numerical methods for PDEs
  • Flows in (fractured) porous media
  • Unfitted methods for muti-subdomain problem
  • Various aspects of polygonal methods
  • Deep learning for numerical PDEs
Prof. Lina Zhao is interested in the development of efficient numerical schemes for partial differential equations arising from practical applications.


Publications Show All Publications Show Prominent Publications


Journal

  • Zhao, Lina. (in press). A priori and a posteriori error analysis for the stress-velocity formulation of a quasi-Newtonian Stokes flow. IMA Journal of Numerical Analysis.
  • Chung, Eric. & Zhao, Lina. (in press). The stabilization-free HDG method for fluid-structure interaction in a unified mixed formulation on Alfeld splits. Mathematics of Computation.
  • Qiu, Weifeng. & Zhao, Lina. (Summer 17 Jun 2024). H(div)-conforming HDG methods for the stress-velocity formulation of the Stokes equations and the Navier–Stokes equations. Numerische Mathematik. doi:10.1007/s00211-024-01419-6
  • Fu, Shubin. , Chung, Eric. & Zhao, Lina. (Autumn Apr 2024). An efficient multiscale preconditioner for large-scale highly heterogeneous flow. SIAM Journal on Scientific Computing. 46/2. S352 - S377. doi:10.1137/22M1502859
  • Fu, Shubin. , Chung, Eric. & Zhao, Lina. (Mar 2024). An adaptive preconditioner for three dimensional single phase compressible flow in highly heterogeneous porous media. Multiscale Modeling and Simulation. 22/1. 155 - 177. doi:10.1137/22M1529075
  • Zhao, Lina. (Feb 2024). A parameter-free mixed formulation for the Stokes equations and linear elasticity with strongly symmetric stress. Computers & Mathematics with Applications. 155. 35 - 50. doi:10.1016/j.camwa.2023.11.040
  • Zhao, Lina. (Autumn Jun 2023). A priori and a posteriori error analysis of TDNNS method for linear elasticity problem under minimal regularity. Journal of Scientific Computing. 95/3. doi:10.1007/s10915-023-02213-6
  • Zhao, Lina. & Chung, Eric. (Jun 2023). Constraint energy minimizing generalized multiscale finite element method for convection diffusion equation. Multiscale Modeling and Simulation. 21/2. 735 - 752. doi:10.1137/22M1487655
  • Zhao, Lina. & Sun, Shuyu. (Apr 2023). A strongly mass conservative method for the coupled Brinkman-Darcy flow and transport. SIAM Journal on Scientific Computing. 45/2. B166 - B199. doi:10.1137/21M145700X
  • Fu, Shubin. , Chung, Eric. & Zhao, Lina. (Spring Jan 2023). Generalized Multiscale Finite Element Method for Highly Heterogeneous Compressible Flow. Multiscale Modeling and Simulation. 20. 1437 - 1467. doi:doi.org/10.1137/21M1438475
  • Zhao, Lina. , Park, Eun-Jae. & Chung, Eric. (15 Dec 2022). A pressure robust staggered discontinuous Galerkin method for the Stokes equations. Computers & Mathematics with Applications. 128. 163 - 179. doi:10.1016/j.camwa.2022.10.019
  • Zhao, Lina. , Chung, Eric. & Park, Eun-Jae. (Sep 2022). A locking-free staggered DG method for the Biot system of poroelasticity on general polygonal meshes. IMA Journal of Numerical Analysis. doi:10.1093/imanum/drac055
  • Zhao, Lina. & Chung, Eric. (Aug 2022). An adaptive discontinuous Galerkin method for the Darcy system in fractured porous media. Computational Geosciences. doi:10.1007/s10596-022-10171-5
  • Zhao, Lina. (Summer 29 Jun 2022). Analysis of a Mixed DG Method for Stress-Velocity Formulation of the Stokes Equations. Journal of Scientific Computing. 44. doi:10.1007/s10915-022-01895-8
  • Zhao, Lina. (Jun 2022). A Robin-Type Domain Decomposition Method for a Novel Mixed-Type DG Method for the Coupled Stokes--Darcy Problem. SIAM Journal on Scientific Computing. 44. B1221 - B1256. doi:10.1137/21M1449750
  • Zhao, Lina. , Park, Eun-Jae. & Kim, Wonjong. (May 2022). A staggered cell-centered DG method for the biharmonic Steklov problem on polygonal meshes : A priori and a posteriori analysis. Computers & Mathematics with Applications. 117. 216 - 228. doi:10.1016/j.camwa.2022.04.018
  • Zhao, Lina. & Park, Eun-Jae. (May 2022). A Staggered Discontinuous Galerkin Method for Quasi-Linear Second Order Elliptic Problems of Nonmonotone Type. Computational Methods in Applied Mathematics. doi:10.1515/cmam-2022-0081
  • Zhao, Lina. , Kim, Dohyun. , Park, Eun-Jae. & Chung, Eric. (Jan 2022). Staggered DG Method with Small Edges for Darcy Flows in Fractured Porous Media. Journal of Scientific Computing. 83. doi:10.1007/s10915-022-01760-8
  • Kim, Dohyun. , Zhao, Lina. & Park, Eun-Jae. (Sep 2021). Review and Efficient Implementation of Staggered DG methods on Polygonal Meshes. Journal of the Korean Society for Industrial and Applied Mathematics. 25. 66 - 81. doi:10.12941/jksiam.2021.25.066
  • Zhao, Lina. , Lam, Ming Fai. & Chung, Eric. (15 Jul 2021). A Uniformly Robust Staggered DG Method for the Unsteady Darcy-Forchheimer-Brinkman Problem. Communications on Applied Mathematics and Computation volume. 4. 205 - 226. doi:10.1007/s42967-020-00106-1
  • Chung, Eric. , Kim, Hyea-Hyun. , Lam, Ming Fai. & Zhao, Lina. (Jun 2021). Learning Adaptive Coarse Spaces of BDDC Algorithms for Stochastic Elliptic Problems with Oscillatory and High Contrast Coefficients. Mathematical and Computational Applications. 26. doi:10.3390/mca26020044
  • Wang, Yiran. , Chung, Eric. & Zhao, Lina*. (2021). Constraint energy minimization generalized multiscale finite element method in mixed formulation for parabolic equations. Mathematics and Computers in Simulation. 188. 455 - 475. doi:10.1016/j.matcom.2021.04.016
  • Zhao, Lina. , Chung, Eric. , Park, Eun-Jae. & Zhou, Guanyu. (2021). Staggered DG Method for Coupling of the Stokes and Darcy--Forchheimer Problems Read More: https://epubs.siam.org/doi/10.1137/19M1268525. SIAM Journal on Numerical Analysis. 59. 1 - 31. doi:10.1137/19M1268525
  • Zhao, Lina. & Chung, Eric. (2020). An analysis of the NLMC upscaling method for high contrast problems. Journal of Computational and Applied Mathematics,. 367. doi:10.1016/j.cam.2019.112480
  • Zhao, Lina. & Park, Eun-Jae. (2020). A lowest-order staggered DG method for the coupled Stokes–Darcy problem. IMA Journal of Numerical Analysis. 40. doi:10.1093/imanum/drz048
  • Zhao, Lina. & Park, Eun-Jae. (2020). A new hybrid staggered discontinuous Galerkin method on general meshes. Journal of Scientific Computing. 82. doi:10.1007/s10915-019-01119-6
  • Zhao, Lina. , Chung, Eric. & Lam, Ming Fai. (2020). A new staggered DG method for the Brinkman problem robust in the Darcy and Stokes limits. Computer Methods in Applied Mechanics and Engineering. 364. doi:10.1016/j.cma.2020.112986
  • Zhao, Lina. & Park, Eun-Jae. (2020). A staggered cell-centered DG method for linear elasticity on polygonal meshes. SIAM Journal on Scientific Computing. 42. A2158 - A2181. doi:10.1137/19M1278016
  • Kim, Dohyun. , Zhao, Lina. & Park, Eun-Jae. (2020). Staggered DG Methods for the Pseudostress-Velocity Formulation of the Stokes Equations on General Meshes. SIAM Journal on Scientific Computing. 42. A2537 - A2560. doi:10.1137/20M1322170
  • Zhao, Lina. , Park, Eun-Jae. & Chung, Eric. (2020). Staggered discontinuous Galerkin methods for the Helmholtz equation with large wave number. Computers & Mathematics with Applications. 80. 2676 - 2690. doi:10.1016/j.camwa.2020.09.019
  • Zhao, Lina. & Park, Eun-Jae. (2019). 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. 63 - 83. doi:10.1016/j.cam.2018.06.040
  • Zhao, Lina. , Park, Eun-Jae. & Shin, Dong-wook. (2019). A staggered DG method of minimal dimension for the Stokes equations on general meshes. Computer Methods in Applied Mechanics and Engineering. 345. 854 - 875. doi:10.1016/j.cma.2018.11.016
  • Zhao, Lina. & Park, Eun-Jae. (2018). A staggered discontinuous Galerkin method of minimal dimension on quadrilateral and polygonal meshes. SIAM Journal on Scientific Computing. 40. A2543 - A2567. doi:10.1137/17M1159385
  • Zhao, Lina. & Park, Eun-Jae. (2018). Fully computable bounds for a staggered discontinuous Galerkin method for the Stokes equation. Computers & Mathematics with Applications. 5. 4115 - 4134. doi:10.1016/j.camwa.2018.03.018
  • Chung, Eric. , Park, Eun-Jae. & Zhao, Lina. (2018). Guaranteed a posteriori error estimates for a staggered discontinuous Galerkin method. Journal of Scientific Computing. 75. 1079 - 1101. doi:doi.org/10.1007/s10915-017-0575-8


Service in CityU


Conferences Attended

  • 12 Dec 2022 - 14 Dec 2022, Polytopal Element Methods in Mathematics and Engineering (POEMS 2022), Italy.
  • 11 Jul 2022 - 15 Jul 2022, SIAM Annual Meeting, US.
  • 21 Jun 2022 - 23 Jun 2022, International Conference on Computational Science (ICCS 2022), United Kingdom.
  • 14 Mar 2022 - 18 Mar 2022, SIAM Conference on Analysis of Partial Differential Equations (PD22), Germany.
  • 10 Sep 2021 - 11 Sep 2021, The 18th European Finite Element Fair, Inria Paris, France.
  • 6 Sep 2021 - 8 Sep 2021, Chemnitz FE Symposium 2021, TU Chemnitz campus, Germany.
  • 21 Jun 2021 - 24 Jun 2021, SIAM Conference on Mathematical & Computational Issues in the Geosciences (GS21), Politecnico di Milano | Milan, Italy,.
  • 7 Dec 2020 - 12 Dec 2020, MS16: Polygonal Finite Elements, DG, and Related Methods, DD XXVI: Internatioanl Conference on Domain Decomposition Methods, Hong Kong, China.
  • 11 Dec 2019 - 14 Dec 2019, SIAM Conference on Analysis of Partial Differential Equations, La Quinta, USA.
  • 14 Jan 2019 - 18 Jan 2019, High Order Structure-Preserving Numerical Methods: Algorithms, Analysis and Applications, Sanya, China.
  • 29 Sep 2018 - 2 Oct 2018, International Conference on Computational Mathematics (ICCM 2018) - Advances in Computational PDEs, Seoul, South Korea.
  • 6 Feb 2017 - 10 Feb 2017, International Conference on Domain Decomposition Methods (DD XXIV), Longyearbyen, Norway.
  • 24 Jul 2016 - 29 Jul 2016, The 12th World Congress on Computational Mechanics (WCCM XXIII), Seoul, South Korea.
  • 6 Jun 2016 - 10 Jun 2016, The 10th International Conference on Scientific Computing and Applications (ICSCA 2016), Toronto, Canada.


Conferences Organized

  • 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
  • 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


Open positions

  • PhD Student

    We are looking for a highly motivated student who wish to pursue a PhD degree in the field of numerical analysis and scientific computing. Candidates are expected to have a strong background in numerical analysis and/or coding. Outstanding applicants are encouraged to apply for the Hong Kong PHD Fellowship Scheme (HKPFS) which provides generous stipend.

    Postdoctoral Research Fellow

    We invite applications for a postdoc position in numerical analysis and scientific computing. The position is for one year and can be extended to another year, depending on the availability of funding. The starting date is flexible, and the position carries no teaching duties. Candidates with strong analysis and/or coding skills are encouraged to apply. Candidates with a strong publication record can be nominated for the RGC Postdoctoral Fellowship Scheme (PDFS) which provides generous financial support for three years.


Last update date : 21 Oct 2024