Guanghui HU
胡光輝 Associate Professor |

Academic Qualifications

- Ph.D in Computational Mathematics, Hong Kong Baptist University, 2010
- M.Sc in Computational Mathematics, Sichuan University, 2006
- B.Sc in Computational Mathematics, Sichuan University, 2003

Working Experiences

- Associate Professor at Department of Mathematics, Faculty of Science and Technology, University of Macau, August 2018 to present.
- Assistant Professor at Department of Mathematics, Faculty of Science and Technology, University of Macau, August 2012 to August 2018.
- Visiting Research Associate at Department of Mathematics, Michigan State University, January 2010 to August 2012.

Teaching

Teaching in Spring Semester in 2019

- For undergraduates, MATH2004, Mathematical Analysis II
- For postgraduates, MATH7019, Topics in Partial Differential Equations

Former Undergraduate Courses

- Mathematical Analysis I (University of Macau)
- Mathematical Analysis II (University of Macau)
- Numerical Analysis (ESFSM)
- Calculus II (Michigan State University)

Former Postgraduate Courses

- Topics in Partial Differential Equations (University of Macau)
- Numerical Methods for Differential Equations (University of Macau)
- Advanced Mathematics (University of Macau)

PhD Students

- Mr. Duo Zhang (From Sept. 2019, co-supervisor)
- Mr. Hongfei Zhan (2018-present)
- Mr. Yang Kuang (2016-present)
- Ms. Huanying Bian (2016-present)
- Ms. Yedan Shen (2015-present)
- Mr. Xucheng Meng (2014-2018), postdoc at University of South Carolina.

Master Students

- Mr. Hongyu Chen (2018-present)
- Mr. Jiachang Liu (2018-present)
- Ms. Ting Wang (2016-present)
- Mr. Chon Wa Sou (2014-2018), Sacred Heart Canossian College
- Ms. Huanying Bian (2014-2016), PhD student of University of Macau
- Mr. Yaguang Gu (2013-2016), PhD student of Hong Kong Baptist University
- Mr. Yang Kuang (2013-2016), PhD student of University of Macau
- Ms. Yedan Shen (2013-2015), PhD student of University of Macau

Undergraduate Students

- Mr. Man Nok Lou, Final Year Project (2019)
- Mr. Sihong Pan, Summer Project & Final Year Project (2018)
- Mr. Tianbo Liu, Honor Project & Finaly Year Project (2015)

Research

Research Interests

- Adaptive and high order finite volume methods for compressible computational fluid dynamics;
- Adaptive finite element methods for density functional theory/time-dependent density functional theory;
- Adaptive methods for partial differential equations, related numerical analysis and high-performance computing.

External Grants:

- 含时密度泛函理论时域快速算法研究及在高阶谐波生成模拟中的应用探讨,
**PI**, National Natural Science Foundation of China (NSFC-11871489), 2019-2022. - Numerical Methods for real-time time-dependent density functional theory and applications,
**PI**, The Science and Technology Development Fund (FDCT-029/2016/A1), 2016-2019. - 含时密度泛函理论的时域快速算法研究,
**PI**, National Natural Science Foundation of China (NSFC-11401608), 2015-2017. - Adaptive High-Order Finite Volume Methods for Euler Equations,
**PI**, The Science and Technology Development Fund (FDCT-050/2014/A1), 2014-2016. - Efficient Numerical Methods for Kohn-Sham Equation,
**PI**, The Science and Technology Development Fund (FDCT-085/2012/A3), 2013-2015.

Internal Grants:

- Efficient Adaptive Numerical Methods for Euler Equations and Applications,
**PI**, University of Macau (MYRG2017-00189-FST), 2018-2020. - Faculty Teaching & Research Enhancement Fund (FTREF),
**PI**, 2015 - Numerical Methods for Real-Time Time-Dependent Density Functional Theory,
**PI**, University of Macau (MYRG2014-00111-FST), 2014-2017. - Adaptive and High-Order Numerical Methods for Steady Euler Equations,
**PI**, University of Macau (MYRG2014-00109-FST), 2014-2017. - Efficient Numerical Methods for Kohn-Sham Equation,
**PI**, University of Macau (MRG/016/HGH/2013/FST), 2013-2015. - Adaptive Numerical Methods for Euler Equations,
**PI**, University of Macau (SRG024-FST12-HGH), 2012-2013.

Awards

- FST Teaching Excellence Award 2017/2018 of Faculty of Science and Technology at University of Macau, 2018.
- The Best Thesis Award of Hong Kong Mathematical Society, 2010
- The First Prize Winner of the Third Student Paper Competition for Young Computational Mathematicians, China Society for Computational Mathematics, 2007
- The First Prize Winner of the First National Post-Graduates Mathematical Contest in Modeling, 2004

Publications

* for corresponding author, and __xxx__ for students supervised.

Refereed Journal Articles

__Yang Kuang__and**Guanghui Hu***,*On stabilizing and accelerating SCF using ITP in solving Kohn-Sham equation,*preprint.- Lei Yang and
**Guanghui Hu***,*An adaptive finite element solver for demagnetization field calculation,*Advances in Applied Mathematics and Mechanics, under review (2nd round). - Zhicheng Hu and
**Guanghui Hu***,*An efficient steady-state solver for microflows with high-order moment model*, Journal of Computational Physics, under revision (1st round). __Yedan Shen__,__Yang Kuang__, and**Guanghui Hu***,*An asymptotic-based adaptive finite element method for Kohn-Sham equation*, Journal of Scientific Computing, in press.**Guanghui Hu**, Hehu Xie, and Fei Xu,*A multilevel correction type adaptive finite element method for Kohn-Sham models*, Journal of Computational Physics, Vol. 355, pp. 346-449, 2018.__Xucheng Meng__, and**Guanghui Hu***,*A NURBS-enhanced finite volume solver for steady Euler equations*, Journal of Computational Physics, Vol. 359, pp. 77-92, 2018.- Li Chen,
**Guanghui Hu***, and Ruo Li,*Integrated Linear Reconstruction for Finite Volume Scheme on Arbitrary Unstructured Grids*, Communications in Computational Physics, Vol. 24(2), pp. 454-480, 2018. __Yang Kuang__, and**Guanghui Hu***,*Adaptive finite element solution of steady Schrodinger equation by imaginary time propagation approach*, International Journal of Computer Mathematics, Vol. 95(1), pp. 187-201, 2018.- 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, Vol. 7(4), pp. 697-713, 2017. - 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 __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**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**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**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- 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 - 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 **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- 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 - 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 **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**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.**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.**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.**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:

**Guanghui Hu**,__Xucheng Meng__, and Tao Tang,*On robust and adaptive framework of finite volume solutions of steady Euler equations*, Springer Proceedings in Mathematics and Statistics, Theory, Numerics and Applications of Hyperbolic Problems II, Springer International Publishing, pp. 21-40, 2018- 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

*Special Issue for The 2017 Workshop on Computational Mathematics and Scientific Computing*, Numerical Mathematics: Theory, Methods and Applications, Vol. 11(4), 2018. Edited by**Guanghui Hu**, Siulong Lei, and Seakweng Vong.*Special Issue for the EASIAM Annual Conference 2016*, East Asian Journal on Applied Mathematics, Vol. 7(4), 2017, Edited by**Guanghui Hu**, Siulong Lei, and Seakweng Vong.*Special Issue for the Fourth Workshop on Numerical Algebra and High Performance Computation*, East Asian Journal on Applied Mathematics, Vol. 4(1), 2014, Edited by**Guanghui Hu**, Siulong Lei, and Seakweng Vong.

Software:

**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.**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:

- 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.** - 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

- Affiliate of Cheng Yu Tung College (2015-present)
- Member of Faculty Association of University of Macau (2013-present)
- Member of Board of Internal Examiner Committee (BSc in Mathematics)
- Member of Management Committee (BSc in Mathematics)
- Member of Student Selection Panel (BSc in Mathematics: Mathematics and Applications)
- Chair of the Committee of Final Year Project
- Program Discipline Leader of Numerical Analysis and Computation
- Examiner for Joint Admission Examination for Macao Four Higher-Education Institutions
- Member of Selection Panel of Mainland China Undergraduate Student Admission in Mathematics: Education Stream.
- Member of Master Student Recruitment Committee (2013)

Professional Services

- Associate Editor of Advances in Applied Mathematics and Mechanics, 2018-present.
- Organizer of a Minisymposium for International Congress on Industrial and Applied Mathematics, Valencia, Spain, 2019.
- Member of Local (Macao) Organizing Committee of 2018 Joint Annual Conference of Physical Societies in Guangdong-Hong Kong-Macao Greater Bay Area, Macau, 2018
- Co-Chair of local organizing committee for The 2017 Workshop on Computational Mathematics and Scientific Computing, 2017
- Member of local organizing committee for 10th International Conference on Computational Physics, 2017
- Member of local organizing committee for International Conference on Differential Geometry, 2016
- Member of local organizing committee for EASIAM Conference, 2016
- Member of local organizing committee for Workshop on Computational and Applied Mathematics, 2015
- Member of local organizing committee for 4th Workshop on Numerical Algebra and High Performance Computing, 2012
- Invited special issue editor of East Asian Journal on Applied Mathematics
- Invited special issue editor of Numerical Mathematics: Theory, Methods and Applications
- Referee for the following journals: Multiscale Modeling and Simulation, Journal of Scientific Computing, Finite Elements in Analysis and Design, Parallel Computing, Communications in Computational Physics, Journal of Computational Physics, Advances in Applied Mathematics and Mechanics, Numerical Mathematics: Theory, Methods and Applications.
- Organizer of one-week courses on Numerical Partial Differential Equations at University of Macau during the summers of 2015 and 2016. The course attracted the students from Hong Kong University of Science and Technology, Hong Kong Baptist University, Sichuan University, Zhejiang University, University of Macau, etc.
- Co-organizer of activities of RIPS-HK program at Macau including Half-Day UG Student Workshop, and campus tour etc. In 2015 and 2016. RIPS-HK program is a summer undergraduate research program jointly organized by HKUST mathematical department and IPAM at UCLA.

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: https://ghhu.github.io