个人简介
崔金涛,博士生导师,现任广东省计算数学学会副理事长。本科毕业于大连理工大学,博士毕业于美国路易斯安那州立大学。曾任美国明尼苏达大学博士后,美国阿肯色大学小石城分校助理教授,香港理工大学助理教授(研究)。2022年1月就职暨南大学信息科学技术学院,获聘第三层次正高。 崔金涛博士的主要研究方向为偏微分方程数值解法、有限元方法、多重网格方法等;主持国家自然科学基金面上项目2项、广东省自然科学基金面上项目1项;香港研究资助局GRF项目1项;在 Mathematics of Computation、Numerische Mathematik、Computer Methods in Applied Mechanics and Engineering、Journal of Scientific Computing 等计算数学领域高水平学术期刊上发表多篇研究论文;先后指导博士后研究员1人、博士研究生3人、硕士研究生3人。
学习经历
大连理工大学 信息与计算科学专业 本科 美国 路易斯安那州立大学 数学 博士
工作经历
美国 明尼苏达大学 博士后研究员 美国 阿肯色大学小石城分校 助理教授 香港理工大学 助理教授(研究) 2022年1月 至今 暨南大学 信息科学技术学院 聘任第三层次正高
研究方向
微分方程数值解法、有限元方法、计算电磁场学、DG方法、HDG方法、多重网格方法等。
主要论文
L. Zhong, Y. Xuan and J. Cui*. Two-grid discontinuous Galerkin method for convection-diffusion reaction equations, Journal of Computational and Applied Mathematics, 404:113903, 2022. DOI: 10.1016/j.cam.2021.113903 Z. Meng, J. Cui and Z. Luo. Effect of numerical integration on a new rotated nonconforming quadrilateral element, Journal of Computational and Applied Mathematics, 402:113798, 2022. DOI: 10.1016/j.cam.2021.113798 G. Chen, J. Cui and L. Xu. A hybridizable discontinuous Galerkin method for the quad-curl problem, Journal of Scientific Computing, 87:16, 2021. DOI: 10.1007/s10915-021-01420-3 W. Liu, J. Cui* and Z. Wang. A new numerical method for an asymptotic coupled model of fractured media aquifer system, Journal of Scientific Computing, 82:9, 2020. DOI: 10.1007/s10915-019-01112-z
G. Chen and J. Cui*. On the error estimates of a hybridizable discontinuous Galerkin method for second-order elliptic problem with discontinuous coefficients, IMA Journal of Numerical Analysis, 42(2):1577-1600, 2020. W. Liu, J. Cui and Z. Wang. A finite difference approximation of reduced coupled model for slightly compressible Forchheimer fractures in Karst aquifer system, Numerical Algorithms, 84:133-163, 2020. J. Cui* and Y. Zhang. A new analysis of discontinuous Galerkin methods for a fourth order variational inequality, Computer Methods in Applied Mechanics and Engineering, 351:531-547, 2019.
G. Chen, J. Cui and L. Xu. Analysis of a hybridizable discontinuous Galerkin method for the Maxwell operator, ESAIM: Mathematical Modelling and Numerical Analysis, 53(1):301-324, 2019. Y. Huang, W. Yang, H. Wang and J. Cui*. Adaptive operator splitting finite element method for Allen-Cahn equation, Numerical Methods for Partial Differential Equations, 35(3):1290-1300, 2019. S. C. Brenner, J. Cui and L.-y. Sung. Multigrid methods based on Hodge decomposition for a quad-curl problem, Computational Methods in Applied Mathematics, 19(2):215-232, 2019. W. Yang, L. Cao, Y. Huang and J. Cui*. A new a posteriori error estimate for the interior penalty discontinuous Galerkin method, International Journal of Numerical Analysis and Modeling, 16(2):210-224, 2019. W. Liu, J. Cui and J. Xin. A block-centered finite difference method for an unsteady asymptotic coupled model in fractured media aquifer system, Journal of Computational and Applied Mathematics, 337:319-340, 2018. S. C. Brenner, A. Cesmelioglu, J. Cui and L.-y. Sung. A nonconforming finite element method for an acoustics fluid-structure interaction problem, Computational Methods in Applied Mathematics, 18(3): 383-406, 2018. W. Liu and J. Cui. A two-grid block-centered finite difference algorithm for nonlinear compressible Darcy-Forchheimer model in porous media, Journal of Scientific Computing, 74(3):1786-1815, 2018. Z. Meng, J. Cui and Z. Luo. A new rotated nonconforming quadrilateral element, Journal of Scientific Computing, 74(2):324-335, 2018. J. Cui and T. Gudi. Finite element approximation of a free boundary plasma problem, Advances in Computational Mathematics, 43:517-535, 2017. W. Liu and J. Cui. Anisotropic quasi-Wilson element with conforming finite element approximation for coupled continuum pipe-ow/Darcy model in Karst aquifers, Mathematical Modelling and Analysis, 21(4):431-449, 2016. J. Cui*. Multigrid methods for two-dimensional Maxwell's equations on graded meshes, Journal of Computational and Applied Mathematics, 255:231-247, 2014. J. Cui* and W. Zhang. An analysis of HDG methods for the Helmholtz equation, IMA Journal of Numerical Analysis, 34:279-295, 2014. B. Cockburn and J. Cui*. Divergence-free HDG methods for the vorticity-velocity formulation of the Stokes problem, Journal of Scientific Computing, 52(1):256-270, 2012. B. Cockburn and J. Cui*. An analysis of HDG methods for the vorticity-velocity-pressure formulation of the Stokes problem in three dimensions, Mathematics of Computation, 81:1355-1368, 2012. S. C. Brenner, J. Cui, Z. Nan and L-y. Sung. Hodge decomposition for divergence-free vector fields and two-dimensional Maxwell's equations, Mathematics of Computation, 81:643-659, 2012. S. C. Brenner, J. Cui, T. Gudi and L.-y. Sung. Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes, Numerische Mathematik, 119:21-47, 2011. S. C. Brenner, J. Cui and L.-y. Sung. Multigrid methods for the symmetric interior penalty method on graded meshes, Numerical Linear Algebra with Applications, 16:481-501, 2009. S. C. Brenner, J. Cui and L.-y. Sung. An interior penalty method for a two dimensional curl-curl minus grad-div problem, ANZIAM, 50:947-975, 2009. S. C. Brenner, J. Cui, F. Li and L.-y. Sung. A nonconforming finite element method for a two-dimensional curl-curl and grad-div problem, Numerische Mathematik, 109:509-533, 2008.
承担课题
国家自然科学基金 面上项目 项目编号12271214,“变分不等式问题的数值方法研究”,2023.01 - 2026.12,46 万元,主持,在研。 国家自然科学基金 面上项目 项目编号11771367,“二维麦克斯韦方程组的数值方法研究”,2018.01 - 2021.12,48 万元,主持,结题。 广东省自然科学基金 面上项目 项目编号2023A1515012209,“电磁场方程数值解法研究”, 2023.01 - 2025.12, 10万元,主持,在研。 香港研究资助局(RGC) General Research Fund 项目编号15302518, “Numerical study on asymptotic coupled model of groundwater flow in fractured aquifer system”,35 万元(港币),主持,结题。
讲授课程
本科生课程:高等数学II, 高等数学I,微积分I 博士研究生课程:有限元方法及应用,偏微分方程
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