Dr. Lina Zhao received her bachelor's degree in mathematics from Ocean University of China, China, in 2012. She received her PhD in mathematics from Yonsei University, South Korea, in 2018. Before joining City University of Hong Kong in 2021, she worked as a postdoctoral fellow at Chinese University of Hong Kong.

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 including polygonal staggered discontinuous Galerkin method, VEM, polyDG and HHO methods
• Deep learning for numerical PDEs

Publications

Journal

• 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

• 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

Links

• Google Scholar

Last update date : 04 Feb 2022