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[-] G. Hu, Z. Hu, and F. Yang. An h-adaptive finite volume solver for reactive Euler equations on complex domain. Preprint.
[-] J. Wang and G. Hu. A mechanism-informed reinforcement learning framework for shape optimization of airfoils. Preprint. [ DOI ]
[-] H. Zhan, L. Jia, H. Li, and G. Hu. A novel tetrahedral spectral element method for Kohn-Sham model: For general tetrahedral meshes. Under review.
[-] H. Zhan, C. Liu, and G. Hu. TSEMLib: a tetrahedral spectral element method based C++ library for high-order numerical solutions of PDEs. Under review.
[-] H. Zhan, T. Wang, and G. Hu. An unconditionally energy-stable and orthonormality-preserving scheme for the Kohn-Sham gradient flow based model based on a tetrahedral spectral element method. Under review.
[-] J. Wu, Z. Cui, L. Yang, and G. Hu. Towards an efficient pde approach for demagnetizing field calculation in computational micromagnetics: a gradient recovery technique. Under review.
[-] G. Hu, H. Xie, F. Xu, and G. Zhao. A nonnested augmented subspace method for Kohn-Sham equation. Under review.
[-] Z. Cai, Y. Chen, Y. Di, G. Hu, R. Li, W. Liu, H. Wang, F. Yang, C. Yao, and H. Zhan. AFEPack: a general-purpose C++ library for numerical solutions of partial differential equations. Communications in Computational Physics, Under review(2nd round).
[-] Z. Cui, J. Wu, L. Yang, and G. Hu. A TreeCode algorithm for the Poisson equation in a general domain with unstructured mesh. Under review (2nd round).
[-] Y. Kuang, Y. Shen, and G. Hu. Towards chemical accuracy using a multi-mesh adaptive finite element method in all-electron density functional theory. Journal of Computational Physics, Under review (2nd round).
[-] J. Wang and G. Hu. Towards the efficient calculation of quantity of interest from steady Euler equations II: a CNNs-based automatic implementation. Communications in Computational Physics, Accepted.
[-] J. Wang and G. Hu. Towards the efficient calculation of quantity of interest from steady Euler equations I: a dual-consistent DWR-based h-adaptive Newton-GMG solver. Communications in Computational Physics, Accepted.
[-] Guanghui Hu, Ruo Li, and Xucheng Meng. A numerical study of integrated linear reconstruction for steady euler equations based on finite volume scheme. Advances in Applied Mathematics and Mechanics, 16(2):279--304, 2023. [ DOI ]
[-] Y. Shen, T. Wang, J. Zhou, and G. Hu. A convergence analysis of a structure-preserving gradient flow method for the all-electron Kohn-Sham model. Numerical Mathematics: Theory, Methods and Applications, 16(3):597--621, 2023. [ DOI ]
[-] G. Hu, T. Wang, and J. Zhou. A linearized structure-preserving numerical scheme for a gradient flow model of the Kohn-Sham density functional theory. East Asian Journal on Applied Mathematics, 13(2):299--319, 2023. [ DOI ]
[-] Y. Gu, Z. Gao, G. Hu, P. Li, and Q. Fu. High order well-balanced positivity-preserving scale-invariant AWENO scheme for Euler systems with gravitational field. Journal of Computational Physics, 488, 2023. [ DOI ]
[-] T. Wang, J. Zhou, and G. Hu. An SAV method for imaginary time gradient flow model in density functional theory. Advances in Applied Mathematics and Mechanics, 15(3):719--736, 2023. [ DOI ]
[-] N. Wang, Y. Zhang, W. Wang, Z. Ye, H. Chen, G. Hu, and D. Ouyang. How can machine learning and multiscale modeling benefit ocular drug development? Advanced Drug Delivery Reviews, 196, 2023. [ DOI ]
[-] X. Meng, Y. Gu, and G. Hu. A fourth-order unstructured NURBS-enhanced finite volume WENO scheme for steady Euler equations in curved geometries. Communications on Applied Mathematics and Computation, 5(1):315--342, 2023. [ DOI ]
[-] H. Zhan and G. Hu. A novel tetrahedral spectral element method for Kohn-Sham model. Journal of Computational Physics, 474:111831, 2023. [ DOI ]
[-] C. Liu and G. Hu. An MP-DWR method for h-adaptive finite element methods. Numerical Algorithms, 94:1309--1329, 2023. [ DOI ]
[-] G. Hu, H. Xie, and F. Xu. On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation. Journal of Computational Physics, 472, 2023. [ DOI ]
[-] H. Chen, G. Hu, and D. Ouyang. A numerical study of the distribution of chemotherapeutic drug carmustine in brain glioblastoma. Drug Delivery and Translational Research, 12(7):1697--1710, 2022. [ DOI ]
[-] H. Zhan, Z. Cai, and G. Hu. The Wigner function of ground state and one-dimensional numerics. Journal of Computational Physics, 449:110780, 2022. [ DOI ]
[-] 詹泓飞, 蔡振宁, 胡光辉. 基于虚时间演化与谱方法的一类基态Wigner函数计算方法. 《计算物理》, 39(6):651--665, 2022. [ DOI ]
[-] X. Meng and G. Hu. A NURBS-enhanced finite volume method for steady Euler equations with goal-oriented h-adaptivity. Communications in Computational Physics, 32(2):490--523, 2022. [ DOI ]
[-] B. Gao, G. Hu, Y. Kuang, and X. Liu. An orthogonalization-free parallelizable framework for all-electron calculations in density functional theory. SIAM Journal on Scientific Computing, 44(3):B723--B745, 2022. [ DOI ]
[-] Y. Gu, Z. Gao, G. Hu, P. Li, and L. Wang. High order finite difference alternative WENO scheme for multi-component flows. Journal of Scientific Computing, 89(3), 2021. [ DOI ]
[-] G. Hu, R. Li, and X. Zhang. A novel stabilized Galerkin meshless method for steady incompressible Navier–Stokes equations. Engineering Analysis with Boundary Elements, 133:95--106, 2021. [ DOI ]
[-] Y. Gu, Z. Gao, G. Hu, P. Li, and L. Wang. A robust high order alternative WENO scheme for the five-equation model. Journal of Scientific Computing, 88(1), 2021. [ DOI ]
[-] L. Yang, J. Chen, and G. Hu. A framework of the finite element solution of the Landau-Lifshitz-Gilbert equation on tetrahedral meshes. Journal of Computational Physics, 431:110142, 2021. [ DOI ]
[-] 况阳, 申烨丹, 胡光辉. 科恩-沈方程与含时科恩-沈方程的一个自适应有限元数值方法. 《数值计算与计算机应用》, 42(1):33--55, 2021. [ DOI ]
[-] H. Bian, Y. Shen, and G. Hu. An h-adaptive finite element solution of the relaxation non-equilibrium model for gravity-driven fingers. Advances in Applied Mathematics and Mechanics, 13(6):1418--1440, 2021. [ DOI ]
[-] G. Bao, R. Delgadillo, G. Hu, D. Liu, and S. Luo. Modeling and computation of nano-optics. CSIAM Transactions on Applied Mathematics, 1(4):616--638, 2020. [ DOI ]
[-] Y. Di, G. Hu, R. Li, and F. Yang. On accurately resolving detonation dynamics by adaptive finite volume method on unstructured grids. Communications in Computational Physics, 29(2):445--471, 2020. [ DOI ]
[-] L. Yang, Y. Shen, Z. Hu, and G. Hu. An implicit solver for the time-dependent Kohn-Sham equation. Numerical Mathematics: Theory, Methods and Applications, 14(1):261--284, 2020. [ DOI ]
[-] Y. Kuang and G. Hu. On stabilizing and accelerating SCF using ITP in solving Kohn-Sham equation. Communications in Computational Physics, 28(3):999--1018, 2020. [ DOI ]
[-] L. Yang and G. Hu. An adaptive finite element solver for demagnetization field calculation. Advances in Applied Mathematics and Mechanics, 11(5):1048--1063, 2019. [ DOI ]
[-] Z. Hu and G. Hu. An efficient steady-state solver for microflows with high-order moment model. Journal of Computational Physics, 392:462--482, 2019. [ DOI ]
[-] Y. Shen, Y. Kuang, and G. Hu. An asymptotics-based adaptive finite element method for Kohn–Sham equation. Journal of Scientific Computing, 79(1):464--492, 2019. [ DOI ]
[-] G.-H. Hu, S.-L. Lei, and S.-W. Vong. Preface. Numerical Mathematics: Theory, Methods and Applications, 11(4):I--II, 2018. [ DOI ]
[-] X. Meng and G. Hu. A NURBS-enhanced finite volume solver for steady Euler equations. Journal of Computational Physics, 359:77--92, 2018. [ DOI ]
[-] G. Hu, H. Xie, and F. Xu. A multilevel correction adaptive finite element method for Kohn–Sham equation. Journal of Computational Physics, 355:436--449, 2018. [ DOI ]
[-] Y. Kuang and G. Hu. An adaptive fem with itp approach for steady schrödinger equation. International Journal of Computer Mathematics, 95(1):187--201, 2018. [ DOI ]
[-] G. Hu, X. Meng, and T. Tang. On robust and adaptive finite volume methods for steady Euler equations. volume 237, pages 21--40. Springer New York LLC, 2018. [ DOI ]
[-] L. Chen, G. Hu, and R. Li. Integrated linear reconstruction for finite volume scheme on arbitrary unstructured grids. Communications in Computational Physics, 24(2):454--480, 2018. [ DOI ]
[-] Z. Gao and G. Hu. High order well-balanced weighted compact nonlinear schemes for shallow water equations. Communications in Computational Physics, 22(4):1049--1068, 2017. [ DOI ]
[-] Y. Gu and G. Hu. A third order adaptive ader scheme for one dimensional conservation laws. Communications in Computational Physics, 22(3):829--851, 2017. [ DOI ]
[-] G. Hu. A numerical study of 2D detonation waves with adaptive finite volume methods on unstructured grids. Journal of Computational Physics, 331:297--311, 2017. [ DOI ]
[-] G. Hu, S.-L. Lei, and S.-W. Vong. Preface. East Asian Journal on Applied Mathematics, 7(4):I--II, 2017. [ DOI ]
[-] Z. Gao and G. Hu. High order well-balanced weighted compact nonlinear schemes for the gas dynamic equations under gravitational fields. East Asian Journal on Applied Mathematics, 7(4):697--713, 2017. [ DOI ]
[-] G. Hu, X. Meng, and N. Yi. Adjoint-based an adaptive finite volume method for steady Euler equations with non-oscillatory k-exact reconstruction. Computers and Fluids, 139:174--183, 2016. [ DOI ]
[-] G. Hu and N. Yi. An adaptive finite volume solver for steady Euler equations with non-oscillatory k-exact reconstruction. Journal of Computational Physics, 312:235--251, 2016. [ DOI ]
[-] G. Bao, G. Hu, and D. Liu. Towards translational invariance of total energy with finite element methods for Kohn-Sham equation. Communications in Computational Physics, 19(1):1--23, 2016. [ DOI ]
[-] G. Bao, G. Hu, and D. Liu. Real-time adaptive finite element solution of time-dependent Kohn-Sham equation. Journal of Computational Physics, 281:743--758, 2015. [ DOI ]
[-] G.-H. Hu, S.L. Lei, and S.-W. Vong. Preface. East Asian Journal on Applied Mathematics, 4(1):i--ii, 2014. [ DOI ]
[-] G. Hu. An adaptive finite volume method for 2D steady Euler equations with WENO reconstruction. Journal of Computational Physics, 252:591--605, 2013. [ DOI ]
[-] G. Bao, G. Hu, and D. Liu. Numerical solution of the Kohn-Sham equation by finite element methods with an adaptive mesh redistribution technique. Journal of Scientific Computing, 55(2):372--391, 2013. [ DOI ]
[-] G. Hu, Z. Qiao, and T. Tang. Moving finite element simulations for reaction-diffusion systems. Advances in Applied Mathematics and Mechanics, 4(3):365--381, 2012. [ DOI ]
[-] G. Bao, G. Hu, D. Liu, and S. Luo. Multi-physical modeling and multi-scale computation of nano-optical responses. In Jichun Li, Hongtao Yang, and Eric Machorro, editors, Recent Advances in Scientific Computing and Applications, Contemporary Mathematics, volume 586, pages 21--40. American Mathematical Society, 2012. [ DOI ]
[-] G. Bao, G. Hu, and D. Liu. An h-adaptive finite element solver for the calculations of the electronic structures. Journal of Computational Physics, 231(14):4967--4979, 2012. [ DOI ]
[-] G. Hu and P.A. Zegeling. Simulating finger phenomena in porous media with a moving finite element method. Journal of Computational Physics, 230(8):3249--3263, 2011. [ DOI ]
[-] G. Hu, R. Li, and T. Tang. A robust WENO type finite volume solver for steady Euler equations on unstructured grids. Communications in Computational Physics, 9(3):627--648, 2011. [ DOI ]
[-] G. Hu, R. Li, and T. Tang. A robust high-order residual distribution type scheme for steady Euler equations on unstructured grids. Journal of Computational Physics, 229(5):1681--1697, 2010. [ DOI ]
[-] G. Hu. Numerical solutions of the steady Euler equations on unstructured grids. PhD thesis, Hong Kong Baptist University, 2010.
- The Best Thesis Award of Hong Kong Mathematical Society.
[-] G. Hu. Stablized hybrid lower order quadrilateral elements for reissner-midline plates and convergence analysis (in chinese). Master thesis, Sichuan University, 2006.
[-] G. Hu and X. Xie. On choices of stress modes for lower order quadrilateral Reissner-Mindlin plate elements. Numerical Mathematics, A Journal of Chinese Universities, 15(2):120--126, 2006.

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