Prof. Lina Zhao is interested in the development of efficient numerical schemes for partial differential equations arising from practical applications.
Journal
- Zhao, Lina. (in press). A parameter-free mixed formulation for the Stokes equations and linear elasticity with strongly symmetric stress. Computers & Mathematics with Applications.
- Zhao, Lina. (in press). A priori and a posteriori error analysis of TDNNS method for linear elasticity problem under minimal regularity. Journal of Scientific Computing.
- Zhao, Lina. & Sun, Shuyu. (in press). A strongly mass conservative method for the coupled Brinkman-Darcy flow and transport. SIAM Journal on Scientific Computing.
- Fu, Shubin. , Chung, Eric. & Zhao, Lina. (in press). An adaptive preconditioner for three dimensional single phase compressible flow in highly heterogeneous porous media. SIAM Multiscale Modeling and Simulation.
- Fu, Shubin. , Chung, Eric. & Zhao, Lina. (in press). An efficient multiscale preconditioner for large-scale highly heterogeneous flow. SIAM Journal on Scientific Computing.
- Zhao, Lina. & Chung, Eric. (in press). Constraint energy minimizing generalized multiscale finite element method for convection diffusion equation. SIAM Multiscale Modeling and Simulation.
- Qiu, Weifeng. & Lina, Zhao. (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. (Spring Jan 2023). Generalized Multiscale Finite Element Method for Highly Heterogeneous Compressible Flow. SIAM 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
Last update date :
02 Jul 2024