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Jintao Cui Research Assistant Professor Department of Applied Mathematics Hong Kong Polytechnic University Hung Hom, Kowloon, Hong Kong
Phone: (+852)2766-4050 Office: TU829
Email: jintao.cui@polyu.edu.hk
Education:
Academic Positions:
Research Interests: - Computational Electromagnetics
- Discontinuous Galerkin Methods
- Multigrid Methods on Graded Meshes
- Hybridizable Discontinuous Galerkin Methods
- Numerical Analysis & Partial Differential Equations
Here is the link to my CV with complete publication list | |
| Research Grants
- General Research Fund (GRF), Hong Kong Research Grants Council. Grant no. 15302518, 2019.01-2021.12, P.I.
- National Natural Science Foundation of China (NSFC) Grant no. 11771367, 2018.01-2021.12, P.I.
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| Selected Publications
- A New Numerical Method for an Asymptotic Coupled Model of Fractured Media Aquifer System,
(with Wei Liu and Zhifeng Wang). Journal of Scientific Computing, 82:9, 2020. DOI: 10.1007/s10915-019-01112-z
- On the Error Estimates of Hybridizable Discontinuous Galerkin Methods for the Second Order Elliptic Problem
(with Gang Chen). IMA Journal of Numerical Analysis, 40:1577-1600, 2020.
- A Finite Difference Approximation of Reduced Coupled Model for Slightly Compressible Forchheimer Fractures in Karst Aquifer System
(with Wei Liu and Zhifeng Wang). Numerical Algorithms, 84:133-163, 2020.
- A New Analysis of Discontinuous Galerkin Methods for a Fourth Order Variational Inequality
(with Yi Zhang). Computer Methods in Applied Mechanics and Engineering, 351:531-547, 2019.
- Analysis of a Hybridizable Discontinuous Galerkin Method for the Maxwell Operator
(with Gang Chen and Liwei Xu). ESAIM: Mathematical Modelling and Numerical Analysis, 53(1):301-324, 2019.
- Adaptive Operator Splitting Finite Element Method for Allen-Cahn Equation
(with Yunqing Huang, Wei Yang and Hao Wang). Numerical Methods for Partial Differential Equations, 35(3):1290-1300, 2019.
- Multigrid Methods Based on Hodge Decomposition for a Quad-Curl Problem
(with Susanne C. Brenner and Li-yeng Sung). Computational Methods in Applied Mathematics, 19(2):215-232, 2019.
- A Nonconforming Finite Element Method for an Acoustic Fluid-Structure Interaction Problem
(with Susanne C. Brenner, Aycil Cesmelioglu and Li-yeng Sung). Computational Methods in Applied Mathematics, 18(3):383-406, 2018.
- A Two-Grid Block-Centered Finite Difference Algorithm for Slightly Compressible Darcy-Forchheimer Model in Porous Media
(with Wei Liu). Journal of Scientific Computing, 74:1786-1815, 2018.
- A New Rotated Nonconforming Quadrilateral Element
(with Zhaoliang Meng and Zhongxuan Luo). Journal of Scientific Computing, 74:324-335, 2018.
- Finite Element Approximation of A Free Boundary Plasma Problem
(with Thirupathi Gudi). Advances in Computational Mathematics, 43:517-535, 2017.
- Multigrid Methods for Two-Dimensional Maxwell's Equations on Graded Meshes
(single-author). Journal of Computational and Applied Mathematics, 255:231-247, 2014.
- An Analysis of HDG Methods for the Helmholtz Equation
(with Wujun Zhang). IMA Journal of Numerical Analysis, 34:279-295, 2014.
- Divergence-Free HDG Methods for the Vorticity-Velocity Formulation of the Stokes Problem
(with Bernardo Cockburn). Journal of Scientific Computing, 52(1):256-270, 2012.
- An Analysis of HDG Methods for the Vorticity-Velocity-Pressure Formulation of the Stokes Problem in Three Dimensions
(with Bernardo Cockburn). Mathematics of Computation, 81:1355-1368, 2012.
- Hodge Decomposition for Divergence-Free Vector Fields and Two-Dimensional Maxwell's Equations
(with Susanne C. Brenner, Zhe Nan and Li-yeng Sung). Mathematics of Computation, 81:643-59, 2012.
- Multigrid Algorithms for Symmetric Discontinuous Galerkin Methods on Graded Meshes
(with Susanne C. Brenner, Thirupathi Gudi and Li-yeng Sung). Numerische Mathematik, 119:21-47, 2011.
- Multigrid Methods for the Symmetric Interior Penalty Method on Graded Meshes
(with Susanne C. Brenner and Li-yeng Sung). Numerical Linear Algebra with Applications, 16:481-501, 2009.
- A Nonconforming Finite Element Method for a Two-Dimensional Curl-Curl and Grad-Div Problem
(with Susanne C. Brenner, Fengyan Li and Li-yeng Sung). Numerische Mathematik, 109:509-533, 2008.
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| Teaching at Hong Kong PolyU
Semester 1, 2019-2020 - AMA1130 Calculus for Engineers
- AMA1500 Foundation Mathematics for Accounting and Finance
Semester 2, 2018-2019 - AMA2112 Mathematics II
Semester 1, 2018-2019 - AMA1130 Calculus for Engineers
- AMA1500 Foundation Mathematics for Accounting and Finance
Semester 2, 2017-2018 - AMA507 Mathematical Modelling for Science and Technology
Semester 1, 2017-2018 - AMA1130 Calculus for Engineers
- AMA1500 Foundation Mathematics for Accounting and Finance
Semester 2, 2016-2017 - AMA507 Mathematical Modelling for Science and Technology
Semester 1, 2016-2017 - AMA1130 Calculus for Engineers
- AMA1500 Foundation Mathematics for Accounting and Finance
Semester 2, 2015-2016 - AMA507 Mathematical Modelling for Science and Technology
Semester 1, 2015-2016 - AMA1130 Calculus for Engineers
- AMA1500 Foundation Mathematics for Accounting and Finance
Semester 2, 2014-2015 - AMA1130 Calculus for Engineers
- AMA1101 Calculus I
Semester 1, 2014-2015 - AMA1130 Calculus for Engineers
- AMA1500 Foundation Mathematics for Accounting and Finance
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