Guanghui HU  胡光輝
Assistant Professor

Academic Qualifications | Working Experiences | Research | Awards | Publications | Services | Contact Details

Academic Qualifications
Working Experiences
Teaching

Undergraduate Courses

Postgraduate Courses

PhD Students

Master Students

Undergraduate Students


Research

Research Interests

External Grants:

Internal Grants:


Awards
Publications

* for corresponding author.
xxx for students supervised.
Journal name with bold font for top 10% ranking journals in related category according to JCR@2016 and/or Scopus CiteScore 2016.

Refereed Journal Articles

  1. Li Chen, Guanghui Hu, Ruo Li, and Xucheng Meng, A numerical study of integrated linear reconstruction for steady Euler equations, preprint.
  2. Yedan Shen, Yang Kuang, and Guanghui Hu*, An asymptotic-based adaptive finite element method for Kohn-Sham equation, preprint.
  3. Gang Bao, Guanghui Hu, Di Liu, and Songting Luo, Modeling and Computation of Nano Optics, preprint.
  4. Guanghui Hu, Hehu Xie, and Fei Xu, A multilevel correction type adaptive finite element method for Kohn-Sham models, Journal of Computational Physics, under review (2nd round)
  5. Xucheng Meng, and Guanghui Hu*, A NURBS-enhanced finite volume solver for steady Euler equations, Journal of Computational Physics, under revision.
  6. Li Chen, Guanghui Hu*, and Ruo Li, Integrated Linear Reconstruction for Finite Volume Scheme on Arbitrary Unstructured Grids, Communications in Computational Physics, in press.
  7. Zhen Gao, and Guanghui Hu*, High Order Well-Balanced Weighted Compact Nonlinear Schemes for the Gas Dynamics Equations under Gravitational Fields, East Asian Journal on Applied Mathematics, in press.
  8. Yang Kuang, and Guanghui Hu*, Adaptive finite element solution of steady Schrodinger equation by imaginary time propagation approach, International Journal of Computer Mathematics, in press, http://dx.doi.org/10.1080/00207160.2017.1366463
  9. Zhen Gao, and Guanghui Hu*, High Order Well-Balanced Weighted Compact Nonlinear Schemes for Shallow Water Equations, Communications in Computational Physics, Vol. 22, pp. 1049-1068, 2017
  10. Yaguang Gu, and Guanghui Hu*, A third order adaptive ADER scheme for one dimensional conservation laws, Communications in Computational Physics, Vol. 22, pp. 829-851, 2017
  11. Guanghui Hu*, A numerical study of 2D detonation waves with adaptive finite volume methods on unstructured grids, Journal of Computational Physics, Vol. 331, pp. 297-311, 2017
  12. Guanghui Hu*, Xucheng Meng, and Nianyu Yi, Adjoint-based an adaptive finite volume method for 2D steady Euler equations with non-oscillatory k-exact reconstruction, Computers & Fluids, Vol. 139, pp. 174-183, 2016
  13. Guanghui Hu*, and Nianyu Yi, An adaptive finite volume solver for steady Euler equations with non-oscillatory k-exact reconstruction, Journal of Computational Physics, Vol. 312, pp. 235-251, 2016
  14. Gang Bao, Guanghui Hu*, and Di Liu, Towards Translational Invariance of Total Energy with Finite Element Methods for Kohn-Sham Equation, Communications in Computational Physics, Vol. 19, pp. 1-23, 2016
  15. Gang Bao, Guanghui Hu*, and Di Liu, Real-Time Adaptive Finite Element Solution of Time-Dependent Kohn-Sham Equation, Journal of Computational Physics, Vol. 281, pp. 743-758, 2015
  16. Guanghui Hu*, An Adaptive Finite Volume Method for 2D Steady Euler Equations with WENO Reconstruction, Journal of Computational Physics, Vol. 252, pp. 591 – 605, 2013
  17. Gang Bao, Guanghui Hu*, and Di Liu, Numerical solution of the Kohn-Sham equation by finite element methods with an adaptive mesh redistribution technique, Journal of Scientific Computing, Vol. 55, Issue 2, pp. 372 – 391, 2013
  18. Gang Bao, Guanghui Hu*, and Di Liu, An h-adaptive finite element solver for the calculations of the electronic structures, Journal of Computational Physics, Vol. 231, pp. 4967-4979, 2012
  19. Guanghui Hu, Zhonghua Qiao, and Tao Tang, Moving finite element simulations for reaction-diffusion systems, Advances in Applied Mathematics and Mechanics, Vol. 4, pp. 365-381, 2012
  20. Guanghui Hu*, and Paul Zegeling, Simulating finger phenomena in porous media with a moving finite element method, Journal of Computational Physics, Vol. 230, pp. 3249-3263, 2011.
  21. Guanghui Hu*, Ruo Li, and Tao Tang, A robust WENO type finite volume solver for steady Euler equations on unstructured grids, Communications in Computational Physics, Vol. 9, No. 3, pp. 627-648, 2011.
  22. Guanghui Hu, Ruo Li, and Tao Tang, A robust high-order residual distribution type scheme for steady Euler equations on unstructured grids, Journal of Computational Physics, Vol. 229, pp. 1681-1697, 2010.
  23. Guanghui Hu, and Xiaoping Xie, On choices of stress modes for lower order quadrilateral Reissner-Mind lin plate elements, Numerical Mathematics: A Journal of Chinese Universities(English Series), Vol. 15, No. 2, (May 2006), pp. 120–126

Refereed Conference Papers:

  1. Guanghui Hu, Xucheng Meng, and Tao Tang, On robust and adaptive finite volume methods for steady Euler equations, Springer Proceedings in Mathematics and Statistics, in press.
  2. Gang Bao, Guanghui Hu, and Di Liu, and Songting Luo, Multi-physical modeling and multi-scale computation of nano-optical response, Recent Advances in Scientific Computing and Applications (J. C. Li, H. T. Yang, and E. Machorro eds.), Contemporary Mathematics, Vol. 586, pp. 43 – 55, American Mathematical Society, 2012

Special Issues

  1. Special Issue for the 2017 Workshop on Computational Mathematics and Scientific Computing, Numerical Mathematics: Theory, Methods and Applications, in preparation. Edited by Guanghui Hu, Siulong Lei, and Seakweng Vong.
  2. Special Issue for the EASIAM Annual Conference 2016, East Asian Journal on Applied Mathematics, in press. Edited by Guanghui Hu, Siulong Lei, and Seakweng Vong.
  3. Special Issue for the Fourth Workshop on Numerical Algebra and High Performance Computation, East Asian Journal on Applied Mathematics, Vol. 4, No. 1, February 2014. Edited by Guanghui Hu, Siulong Lei, and Seakweng Vong

Software:

  1. AFEABIC: AFEABIC (Adaptive Finite Element AB-Initio Calculation) is designed for the numerical simulations of the electronic structures. The aim of this project is to present an efficient and adaptive finite element solver for the density functional theory and the time-dependent density functional theory. This C++ library is under development, and will be released under GPL when it is ready.
  2. AFVCFD: AFVCFD (Adaptive Finite Volume for Computational Fluid Dynamics) is designed for the numerical simulations for Euler and Navier-Stokes systems. The adaptive finite volume methods have been available in current version for steady/unsteady Euler equations. This C++ library is under development, and will be released under GPL when it is ready.

Theses:

  1. Guanghui Hu, Numerical simulations of the steady Euler equations on unstructured grids, Doctoral Thesis, Hong Kong Baptist University, 2009.
    The Best Thesis Award of Hong Kong Mathematical Society, 2010.
  2. Guanghui Hu, Stabilized hybrid lower order quadrilateral elements for Reissner-Mindlin plates and convergence analysis (in Chinese). Master Thesis, Sichuan University, 2006.

Services

University Serives

Professional Services


Contact Details

Faculty of Science and Technology
University of Macau, E11
Avenida da Universidade, Taipa,
Macau, China

Room: E11-3070
Telephone: (853) 8822-8544
Fax: (853) 8822-2426
Email: garyhu
Personal Homepage: http://www.math.msu.edu/~ghhu