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个人简介

教育经历 2006.9-2009.7,中山大学数计学院,计算数学,博士 2007.10-2009.2,美国Syracuse University,计算数学,博士联合培养 2003.9-2006.7,北京师范大学数学学院,概率统计,硕士 1999.9-2003.7,北京师范大学数学学院,数学与应用数学,学士 工作经历 2020.12至今,哈尔滨工业大学(深圳)理学院,教授 2009.7-2020.12,中山大学数计学院,讲师,副教授,教授(2018.4) 2010.3-2011.3,香港大学工学院,博士后 科研项目 主持北航技术委托项目,项目名称:基于深度学习的气动弹性优化算法研究 主持广东省自然科学杰出青年基金项目,项目编号:2015A030306016,项目名称:基于高性能计算机的广义有限元并行算法及力学软件研发 主持国家自然科学基金面上项目,项目编号: 11471343,项目名称:稳定广义有限元法的研究与若干典型工程应用 主持广东省自然科学基金面上项目,项目编号: 2022A1515011187, 项目名称:奇性界面问题的稳定广义有限元法 参与(子课题负责人)国家自然科学基金重大研究计划项目集成项目,项目编号: 91730305,项目名称:飞机结构优化及三维载荷分析中的高性能算法及验证 联合主持国家自然科学基金海外及港澳学者合作研究项目11628104,奇性问题的渐进四边形和六面体有限元法及应用; 主持国家自然科学基金青年基金项目,项目编号: 11001282,项目名称:无网格方法中关键计算问题的算法、理论及其在计算力学中的应用 主持广东省自然科学基金项目,项目编号: S2011040003030, 项目名称:Helmholtz方程的波动基有限元法

研究领域

广义有限元法(Generalized FEM)、偏微分方程数值解、机器学习(Machine Learning)、计算机视觉、工程计算

近期论文

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S. Zeng, Y. Liang, and Qinghui Zhang(corresponding), Adaptive deep neural networks for solving corner singular problems, submitted, 2023. Qinghui Zhang, Unfitted generalized finite element methods for Dirichlet problems without penalty or stabilization, to appear in Numerical Methods for Partial Differential Equations, 2023, http://doi.org/10.1002/num.23081. W. Gong, H. Li, and Qinghui Zhang(corresponding), Improved enrichments and numerical integrations in SGFEM for interface problems, Journal of Computational and Applied Mathematics, 438: 115540, 2024. C. Cui, Qinghui Zhang(corresponding), U. Banerjee, and I. Babuska, Stable generalized finite element method (SGFEM) for three-dimensional crack problems, Numerishe Mathematik, 152: 475-509, 2022. Y. Jiang, M. Nian, and Qinghui Zhang(corresponding), A stable generalized finite element method coupled with deep neural network for interface problems with discontinuities, Axioms, 11: 384, 2022. H. Li, C. Cui, and Qinghui Zhang(corresponding), Stable generalized finite element methods (SGFEM) for interfacial crack problems in bi-materials, Engineering Analysis with Boundary Elements, 138: 83-94, 2022. Qinghui Zhang, C. Cui, U. Banerjee, and I. Babuska, A condensed generalized finite element method (CGFEM) for interface problems, Computer Methods in Applied Mechanics and Engineering, 391: 114537, 2022. H. Li, Qinghui Zhang(corresponding), X. Chen, Deep Learning-Based Surrogate Model for Flight Load Analysis, CMES: Computer Modeling in Engineering & Sciences, 128: 605-621, 2021. Qinghui Zhang and C. Cui, Condensed generalized finite element method, Numerical Methods for Partial Differential Equations, 37: 1847-1868, 2021. Qinghui Zhang and I. Babuska, A stable generalized finite element method (SGFEM) of degree two for interface problems, Computer Methods in Applied Mechanics and Engineering, 363: 112889, 2020. Qinghui Zhang, U. Banerjee, and I. Babuska, Strongly Stable Generalized Finite Element Method (SSGFEM) for a non-smooth interface problem II: a simplified algorithm, Computer Methods in Applied Mechanics and Engineering, 363: 112926, 2020. H. Li and Qinghui Zhang(corresponding), A meshfree finite volume method with optimal numerical integration and direct imposition of essential boundary conditions, Applied Numerical Mathematics, 153: 98-113, 2020. C. Cui and Qinghui Zhang(corresponding), Stable generalized finite element methods (SGFEM) for elasticity crack problems, International Journal for Numerical Methods in Engineering, 121: 3066-3082, 2020. Qinghui Zhang, DOF-gathering stable generalized finite element methods (SGFEM) for crack problems, Numerical Methods for Partial Differential Equations, 36: 1209-1233, 2020. P. Zhu, Qinghui Zhang(corresponding), and T. Liu, Stable generalized finite element method (SGFEM) for parabolic interface problems, Journal of Computational and Applied Mathematics, 367: 112475, 2020. P. Zhu and Qinghui Zhang(corresponding), BDF schemes in stable generalized finite element methods for parabolic interface problems with moving interfaces, CMES: Computer Modeling in Engineering & Sciences, 124: 107-127, 2020. Y. Liu, Z. Wan, Q. Li, and Qinghui Zhang(corresponding), A corrected nearest neighbor transpotation method of aerodynamic force for fluid-structure interactions, International Journal of Numerical Analysis and Modeling, 17: 746-765, 2020. Qinghui Zhang, U. Banerjee, and I. Babuska, Strongly Stable Generalized Finite Element Method (SSGFEM) for a non-smooth interface problem, Computer Methods in Applied Mechanics and Engineering,344: 538-568, 2019. H. Li and Qinghui Zhang(corresponding), Optimal quadrilateral finite elements on polygonal domains, Journal of Scientific Computing, 70: 60-84, 2017. Qinghui Zhang, I. Babuska, and U. Banerjee, Robustness in stable generalized finite element methods (SGFEM) applied to Poisson problems with crack singularities, Computer Methods in Applied Mechanics and Engineering, 311: 476-502, 2016. Bin Wu and Qinghui Zhang(corresponding), Fast Multiscale Regularization Methods for High-Order Numerical Differentiations, IMA journal of Numerical Analysis, 36: 1432-1451, 2016. G. Jin, H. Li, Qinghui Zhang, and Q. Zou, linear and quadratic finite volume methods on triangular meshes for elliptic equations with singular solutions, International Journal of Numerical Analysis and Modeling, 13: 244-264, 2016. Qinghui Zhang, U. Banerjee, and I. Babuska, High order stable generalized finite element methods, Numerische Mathematik, 128: 1-29, 2014. Qinghui Zhang, Quadrature for meshless Nitsche’s methods, Numerical Methods for Partial Differential Equations, 30: 265-288, 2014. Qinghui Zhang and Q. Zou , A class of finite volume schemes of arbitrary order on non-uniform meshes, Numerical Methods for Partial Differential Equations, 30: 1614-1632, 2014. Qinghui Zhang and K. Sze, Hybrid linear and quadratic finite element models for 3D Helmholtz problem, Acta Mechanica Solid Sinica. 26: 603-618, 2013. L. Sun, G. Yang, and Qinghui Zhang(corresponding), Numerical integration with Constraints for meshless local Petrov-Galerkin methods, CMES: Computer Modeling in Engineering & Sciences, 95: 235-258, 2013. Qinghui Zhang and U. Banerjee, Numerical integration in Galerkin meshless methods, applied to elliptic Neumann problem with non-constant coefficients, Advances in Computational Mathematics, 37: 453-492, 2012. H. Zhang, Y. Xu, and Qinghui Zhang, Refinement of vector-valued reproducing kernels, Journal of Machine Learning Research, 13: 91-136, 2012. K. Sze. Qinghui Zhang, and G. Liu, Hybrid quadrilateral finite element models for axial symmetric Helmholtz problem, Finite Elements in Analysis and Design, 52: 1-10, 2012. Qinghui Zhang, Theoretical analysis of numerical integration in Galerkin meshless methods, BIT Numerical mathematics, 51: 459-480, 2011. H. Zhang and Qinghui Zhang(corresponding), Sparse discretization matrices for Volterra integral operators with applications to numerical differentiation, Journal of Integral Equations and Applications, 23: 137-156, 2011. K. Sze, Qinghui Zhang, and G. Liu, Multi-field three-node triangular finite element models for Helmholtz problem, Journal of Computational Acoustics, 19: 317-334, 2011. G. Liu, Qinghui Zhang, and K. Sze, Spherical-wave based triangular finite element models for axial symmetric Helmholtz problems, Finite Elements in Analysis and Design, 47: 342-350, 2011. I. Babuska, U. Banerjee, J. Osborn, and Qinghui Zhang, Effect of numerical integration on meshless methods, Comput. Methods Appl. Mech. Engrg., 198: 2886-2897, 2009.

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