黄建国Jianguo Huang
教授Professor

办公室??Office：
6 号楼 517
办公接待时间??Office Hour：
Thursday 2:00pm-4:00pm, 2020 Fall Semester
办公室电话??Office Phone：
**
E-mail：
jghuang at sjtu.edu.cn
教育背景??Education：
博士，1992，复旦大学
Ph.D., 1992, Fudan University

研究兴趣??Research Interests：
有限元方法与应用；快速算法设计与分析；人工智能与应用
FEMs with Applications; Design and Analysis for Fast Algorithms; Artificial Intelligence with Applications

教育背景/经历　Education
* 1986-1992: Ph. D.; Institute of Mathematics, Fudan University, China.
* 1982-1986: Bachelor; Department of Mathematics, Fudan University, China.
工作经历　Work Experience
* 2016--2018: The Vice Dean of School of Mathematical Sciences, SJTU.
* Since 2016: Professor of School of Mathematical Sciences, SJTU.
* 2009--2015: Professor and Associate Chair of Department of Mathematics, SJTU.
* Since 2002: Professor of Department of Mathematics, SJTU.
*1995--2002: Associate Professor of Department of Mathematics, SJTU.
*1992--1995: Assistant Professor of Department of Mathematics, SJTU.

Teaching Courses

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Since 1992: 《Numerical Methods for Partial Differential Equations》，《Numerical Analysis》，《Scientific Computing》，《Mathematical Models》，《Advanced Numerical Analysis》, etc.
_______________________________________________________________________________________________________
2018 Fall Semester
n 《Numerical Solutions for Partial Differential Equations》
Time and Place:
Time: Tuesday 10:00am-11:40am and Thursday 10:00am-11:40am.
Place: Dong Zhongyuan 4-203.
Teaching syllabus PDF .
Course Assistant: Haoqin WANG (wanghaoqin@sjtu.edu.cn).
Research materials:
Tips on MATLAB PDF.Useful filesof MATLAB download.
The information has moved to the SJTU Canvas system.

Teaching Awards
u 2018: The third prize of Teaching and Educating, SJTU.
u 2018: The 2017 Shanghai Teaching Achievement Award (ranked four).
u 2016: Winner of the Yucai Prize of Shanghai City, Shanghai Municipal Education Commission.
u 2013: The first prize of Outstanding Teachers, SJTU.
u 2005: The first prize of Si Yuan Outstanding Teachers, SJTU.
u 2000: The outstanding supervisor of National Mathematical Modeling Contest.
u 1999: The first prize of East Communication, SJTU.
u 1998: The third prize of Shanghai Teaching Achievement Award (ranked three).
u 1997: The second prize of Si Yuan Outstanding Teachers, SJTU.

Research Areas
The finite element method with applications; Design and Analysis for Fast Solvers; Numerical methods for inverse problems; Optimization and Domain decomposition methods; Artifical Intellegence with Applications; Mathematical models and theoriesin applied scinences

Research Grants
u2021.01--2024.12: Research on nonconforming VEMs for higher order elasticity problems with size effect, the National Natural Science Foundation of China (NSFC), principal investigator (PI).
u2017.01--2020.12: Efficient stochastic collocation methods for stochastic elastic multi-structure problems, NSFC, research member.
u 2016.01--2019.12: Adaptive finite element methods for unsteady elastic problems, NSFC, PI.
u 2003.01--2015.12: E-Institutes of Shanghai Municipal Education Commission (N. E03004), Committee of Shanghai Education, engaged researcher.
u 2012.01-2015.12: Mixed DG finite element methods and their efficient solutions for elastic multi-structure problems, NSFC, PI.
u 2011.01-2013.12: Sparsity promoting regularization for inverse problems in biomedical imaging, NSFC,PI.
u 2008.01--2010.12: Adaptive finite element methods for elastic multi-structure problems, NSFC, PI.
u 2008.01--2010.12: High performance scientific computation research, the National Basic Research Program (the National 973 Program), research member.
u 2007.01--2009.12: Numerical study on elastic multi-structures,Program for New Century Excellent Talents in University, PI.
u 2004.10--2007.09: Numerical methods for some complicated mathematical-physical problems, The Science Foundation of Shanghai, research member.
u 2004.01--2006.12: Numerical solutions of the time-dependent models for elastic multi-structures, NSFC, PI.
u 2000.01--2002.12: Domain decomposition algorithms for the elastic multi-structures, NSFC, PI.

Selected Papers
uF. Feng, J. Huang and Y. Yu, A non-consistent virtual element method for reaction diffusion equations, East Asian Journal on Applied Mathematics, 10:4(2020), 786-799.
uJ. Huang, H. Wang and H. Yang,Int-Deep: A deep learning initialized iterative method for nonlinear problems, Journal of Computational Physics, 419(2020), 109675.
uJ. Huang and S. Lin, A C0P2 time-stepping virtual element method for linear wave equations on polygonal meshes, Electronic Research Archive, 20(2020), 911-933.
uY. Guo and J. Huang,A robust finite element method for elastic vibration problems, Computational Methods in Applied Mathematics, 20(2020), 481-500.
uF. Feng, W. Han and J. Huang, Virtual element methods for elliptic variational inequalities of the second kind, Journal of Scientific Computing, 80(2019), 60-80.
uJ. Huang, L. Ju and Bo Wu,A fast compact time integrator method for a family of general order semilinear evolution equations, Journal of Computational Physics,393(2019), 313-336.
u J. Huang, L. Ju and B. Wu, A fast compact exponential time differencing method for semilinear parabolic equations with Neumann boundary conditions, Applied Mathematics Letters, 94(2019), 257-265.
u Y. Guo, J. Huang and J. Lai, A posteriori error analysis of a fully-discrete finite element method for the wave equation, JCAM, 356(2019), 231-247.
uJ. Huang and X. Huang, A hybridizable discontinuous Galerkin methodfor Kirchhoff plates, Journal of Scientific Computing, 78(2019), 290-320.
u B. Du and J. Huang, The generalized Arrow-Hurwicz method withapplications to fluid computation, CICP, 25:3 (2019), 752-780, 2019.
u J. Huang and X. Huang, An $hp$-version error analysis of thediscontinuous Galerkin method for linear elasticity, Appl. Numer. Math., 133 (2018), 83–99.
u L. Chen and J. Huang, Some error analysis on virtual elementmethods, Calcolo, 55:1 (2018), Art. 5, 23 pp.
u J. Huang and X. Huang, A nonoverlapping DDM for general elasticbody-plate problems discretized by the P1-NZT FEM, Int. J. Numer. Anal. Model.,15:1/2 (2018), 86-101.
u Y. Guo and J. Huang, A domain decomposition based spectralcollocation method for Lane-Emden equations, Communications in ComputationalPhysics, 22:2(2017), 542-571.
u P. Chen, J. Huang and H. Sheng, Solving steady incompressible Navier-Stokes equations by the Arrow-Hurwicz method, Journal of Computationaland Applied Mathematics, 311(2017), 100-114.
u P. Chen, J. Huang and X. Zhang, A primal-dual fixed point algorithmfor multi-block convex minimization, Journal of Computational Mathematics,34:6(2016), 721-737.
u P. Chen, J. Huang and X. Zhang, A primal-dual fixed point algorithmfor minimization of the sum of three convex separable functions, Fixed PointTheory Applications, 54(2016), 18 pp.
u X. Huang and J. Huang, A superconvergent C0 discontinuous Galerkinmethod for Kirchhoff plates: error estimates, hybridization and postprocessing,Journal of Scientific Computing, 69(2016), 1251-1278.
u J. Huang and H. Sheng, An adaptive time stepping method for transient dynamic response analysis, East Asian J. Appl. Math., 6:2(2016),152-170.
u W. Tang, J. Huang and H. Li, Numerical simulation of anelectro-thermal model for superconducting nanowire single-photon detectors, J.Comput. Anal. Appl., 21:1(2016), 11-23.
u P. Chen, J. Huang and H. Sheng, Some Uzawa methods for steady incompressible Navier-Stokes equations discretized by mixed element methods,Journal of Computational and Applied Mathematics, 273(2015), 313-325.
u P. Chen and J. Huang, On the geometric convergence of the Arrow-Hurwicz algorithm for steady incompressible Navier-Stokes equations, Journal of Computational Analysis and Applications, 18:4(2015), 628-635.
u J. Lai and J. Huang, An adaptive linear time stepping algorithm forsecond-order linear evolution problems, International Journal of NumericalAnalysis and Modeling, 12:2(2015), 230-253.
u X. Huang and J. Huang, A Reduced Local $C^0$ Discontinuous GalerkinMethod for Kirchhoff Plates, Numerical Methods for Partial DifferentialEquations, 30:6(2014), 1902-1930.
u Y. Xu, J. Huang, and X. Huang, A posteriori error estimates forlocal $C^{0}$ discontinuous Galerkin methods for Kirchhoff plate bending problems, Journal of Computational Mathematics, 32:6(2014), 665-686.
u P. Chen, J. Huang, and X. Zhang, A primal-dual fixed pointalgorithm for convex separable minimization with applications to imagerestoration, Inverse Problems, 29:2 (2013), 025011 (33pp).
u X. Huang and J. Huang, The compact discontinuous Galerkin method fornearly incompressible linear elasticity, J. Sci. Comput., 56(2013), 291-318.
u X. Huang and J. Huang, Error analysis of a C0 discontinuous Galerkin method for Kirchhoff plates, Journal of Computational Analysis and Applications,15:1 (2013), 118-132.
u J. Huang and Y. Xu, Convergence and complexity of arbitrary order adaptive mixed element methods for the Poisson equation, Sci. China Math.,55:5(2012), 1083-1098.
u J. Huang and S. Zhang, A divergence--free finite element method fora type of 3D Maxwell equations, Appl. Numer. Math., 62:6(2012), 802-813.
u S. Song and J. Huang, Solving an inverse problem from bioluminescence tomography by minimizing an energy-like functional, J. Comput.Anal. Appl., 14:3(2012), 544-558.
u L. Guo and J. Huang, A pseudospectral approach for Kirchhoff platebending problems with uncertainties, Mathematical Problems in Engineering,2012, Article ID 750605, 14 pages.
u Y. Xu and J. Huang, A class of high order adaptive mixed elementmethods for Kirchhoff plate bending problems (in Chinese), Sci. Sin. Math.,42:5(2012), 473-489.
u J. Huang and X. Huang, Local and parallel algorithms for fourth order problems discretized by the Morley-Wang-Xu element method, Numer. Math.,119(2011), 667-697.
u J. Huang, X. Huang, and Y. Xu, Convergence of an adaptive mixed finite element method for Kirchhoff plate bending problems, SIAM J. Numer.Anal., 49:2(2011), 574-607.
u W. Han, J.A. Eichholzb, J. Huang, and J. Lu, RTE-based bioluminescence tomography: A theoretical study, Inverse Problems in Scienceand Engineering, 19:4(2011), 435-459.
u L. Guo and J. Huang, Adini--Q1--P3 FEM for general elasticmulti-structure problems, Numerical Methods for Partial Differential Equations,27:5(2011), 1092-1112.
u W. Han, J. Huang, and J. A. Eichholtz, Discrete-ordinatediscontinuous Galerkin method for solving the radiative transfer equation, SIAM J. Sci. Comput., 32:2(2010), 477-497.
u L. Guo and J. Huang, Dynamical analysis of Kirchhoff plates by an explicit time integration Morley element method, Journal of Computational andApplied Mathematics, 234(2010), 2483-2492.
u J. Huang, X. Huang, and W. Han, A new $C^0$ discontinuous Galerkinmethod for Kirchhoff plates, Comput. Methods Appl. Mech. Engrg., 199(2010),1446-1454.
u J. Huang and L. Nong, An iterative algorithm for solving a finite-dimensional linear operator equation $T(x) = f$ with applications,Linear Algebra and Its Applications, 432(2010), 1176-1188.
u J. Lai, J. Huang, and Z. Shi, Vibration analysis for elastic multi-beam structures by the $C^0$-continuous time-stepping finite element method, Int. J. Numer. Methods Biomed. Eng., 26(2010), 205-233.
u J. Lai, J. Huang, and Z. Shi, A lumped mass finite element method for vibration analysis of elastic plate-plate structures, Science ChinaMathematics, 53(2010), 1453-1474.
u J. Lai and J. Huang, A finite element method for vibration analysis of elastic plate-plate structures, Discrete and Continuous Dynamical SystemsSer. B, 11:2(2009), 387-419.
u J. Lai, J. Huang, and C. Chen, Vibration analysis of linear elasticity problems by the C0-continuous time stepping finite element method, Appl. Numer. Math., 59(2009), 905-919.
u X. Huang, J. Huang, and Y. Chen, Error analysis of a parameter expansion method for corrosion detection in a pipe, Comput. Math. Appli.,56(2008), 2539-2549.
u Y. Chen, J. Huang, and W. Han, Function reconstruction from noisy local averages, Inverse Problems, 24:2(2008), 025003.
u J. Huang, L. Guo, and Z. Shi, Vibration analysis of Kirchhoff plates by the Morley element method, Journal of Computational and Applied Mathematics, 213:1(2008), 14-34.
u W. Han, J. Huang, K. Kazmi,and Y. Chen, A numerical method for a Cauchy problem for elliptic partialdifferential equations, Inverse Problems, 23(2007), 2401-2415.
u J. Huang, L. Guo, and Z. Shi, A finite element method for investigating general elastic multi-structures, Comput. Math. Appli., 53:12(2007), 1867-1985.
u J. Huang and J. Zou, Uniform a priori estimates for elliptic and static Maxwell interface problems, Discrete and Constinuous Dynamical SystemsSer. B, 7:1(2007), 145-170.
u L. Guo, J. Huang, and Z. Shi, Remarks on error estimates for the TRUNC plate element, Journal of Computational Mathematics, 24:1(2006), 103-112.
u J. Huang, Z. Shi, and Y. Xu, Finite element analysis for general elastic multi-structures, Science in China Ser. A, 49:1(2006), 109-129.
u J. Huang and Y. Chen, A regularization method for the function reconstruction from approximate average fluxes, Inverse Problems, 21(2005),1667-1684.
u J. Huang, Z. Shi, and Y. Xu, Some studies on mathematical models forgeneral elastic multi-structures, Science in China Ser. A, 48:7(2005),986-1007.
u J. Huang and J. Zhou, A direct proof and a generalization for a Kantorovich type inequality, Linear Algebra and its Applications, 397(2005),185-192.
u J. Huang, Numerical solution of the elastic body-plate problem by nonoverlapping domain decomposition type techniques, Math. Comp., 73(2004),19-34.
u J. Huang, W. Xu, P. Thomson, and S. Di, A general rigid-plastic/rigid-viscoplastic FEM for metal-forming processes based on the potential reduction interior point method, International Journal of Machine Tools &Manufacture, 43(2003), 379-389.
u S. Chou and J. Huang, A domain decomposition algorithm for general covolume methods for elliptic problems, Journal of Numer. Math., 11(2003),179-194.
u P. Ciarlet, Jr., J. Huang, and J. Zou, Some observations on generalized saddle-point problems, SIAM J. Matrix Anal. Appl., 25(2003),224-236.
u Q. Liu, L. Li, and J. Huang, On mortar-type TRUNC element method for plate bending problems, Mathematical Models and Methods in Applied Sciences,13(2003), 545-571.
u J. Huang and J. Zou, A mortar element method for elliptic problems with discontinuous coefficients, IMA J. Numer. Anal., 22(2002), 549-576.
u J. Huang and J. Zou, Some new a priori estimates for second-order elliptic and parabolic interface problems, J. of Diff. Equations, 184(2002),570-586.
u J. Huang and J. Zou, Construction of explicit extension operators on general finite element grids, Appl. Numer. Math., 43(2002), 211-227
u J. Huang, L. Li, and J. Chen, On mortar-type Morley element methodfor plate bending problem, Appl. Numer. Math., 37(2001), 519-533.
u J. Huang, On the construction of a vertex space preconditioner for Morley element, East-West J. Numer. Anal., 9:4(2001), 295-305.
u J. Huang and L. Li, Some superconvergence results for the covolume method for elliptic problems, Communications in Numerical Methods inEngineering, 17(2001), 291-302.
u J. Chen, J. Huang, and L. Li, Uniform convergence andpreconditioning method for mortar mixed element method for nonselfadjoint and indefinite problems, Comput. Methods Appl. Mech. Engrg., 189(2000), 943-960.
u J. Huang and S. Xi, On the finite element volume method for general self-adjoint elliptic problems, SIAM J. Numer. Anal., 35(1998), 1762-1774.



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