31.G. D. Zhang, Y. Huang, X. He, X.Yang, Efficient fully discrete and decoupled scheme with unconditional energy stability and second-order accuracy for micropolar Navier–Stokes equations. Computer Methods in Applied Mechanics and Engineering, 436: 117692,2025 30.G. D. Zhang, X. He, X. Yang, Efficient Fully Discrete Finite Element Scheme for the Ferrohydrodynamic Rosensweig Model and Simulations of Ferrofluid Rotational Flow Problems. SIAM Journal on Scientific Computing, 47(1): B28-B58,2025 29. J.Chen, Y. Jiang, G.D.Zhang*, Decoupled and unconditionally stable iteration method for stationary Navier-Stokes equations, International Journal for Numerical Methods in Fluids,96(10):1680-1693,2024. 28.G. D. Zhang, X. He, X. Yang, A Unified Framework of the SAV-ZEC Method for a Mass-Conserved Allen–Cahn Type Two-Phase Ferrofluid Flow Model, SIAM Journal on Scientific Computing, 46(2): B77-B106, 2024. 27.G. D. Zhang, X. Yang, Error estimates with low-order polynomial dependence for the fully-discrete finite element invariant energy quadratization scheme of the Allen-Cahn equation, Mathematical Models &Methods in Applied Sciences, 33(12): 2463-2505,2023. 26.H. Su, G. D. Zhang*, Energy stable schemes with second order temporal accuracy and decoupled structure for diffuse interface model of two-phase magnetohydrodynamics，Communications in Nonlinear Science and Numerical Simulation,119: 107126, 2023. 25.G. D. Zhang, X. He, X. Yang, Reformulated weak formulation and efficient fully discrete finite element method for a two-phase ferrohydrodynamics Shliomis model, SIAM Journal on Scientific Computing, 45(3): B253-B282, 2023. 24.G. D. Zhang, M. Yang, Y. He, Block preconditioners for energy stable schemes of magnetohydrodynamics equations, Numerical Methods for Partial Differential Equations, 39(1): 501-522, 2023. 23.H. Su, G. D. Zhang*, Highly efficient and energy stable schemes for the 2D/3D diffuse interface model of two-phase magnetohydrodynamics, Journal of Scientific Computing, 90: 1-31, 2022. 22.Y. He, G. D. Zhang, J. Zou, Fully discrete finite element approximation of the MHD flow, Computational Methods in Applied Mathematics, 22(2): 357-388, 2022. 21.G. D. Zhang, X. He, X. Yang, A fully decoupled linearized finite element method with second-order temporal accuracy and unconditional energy stability for incompressible MHD equations, Journal of Computational Physics, 448: 110752, 2022. 20.G. D. Zhang, X. Yang, Efficient and Stable Schemes for the Magnetohydrodynamic Potential Model, Communications in Computational Physics, 30(3): 771-798,2021. 19.G. D. Zhang, X. He, X. Yang, Decoupled, linear, and unconditionally energy stable fully discrete finite element numerical scheme for a two-phase ferrohydrodynamics model, SIAM Journal on Scientific Computing, 43(1): B167-B193, 2021. 18.K. Wang, G. D. Zhang*, Unconditionally energy stable, splitting schemes for magnetohydrodynamic equations, International Journal for Numerical Methods in Fluids, 93(5): 1396-1418, 2021. 17.G. D. Zhang, C. Chen, Uniformly robust preconditioners for incompressible MHD system, Journal of Computational and Applied Mathematics, 379: 112914, 2020. 16.X. Yang, G. D. Zhang, Convergence analysis for the invariant energy quadratization (IEQ) schemes for solving the Cahn–Hilliard and Allen–Cahn equations with general nonlinear potential, Journal of Scientific Computing, 82: 1-28,2020. 15.G. D. Zhang, X. He, X. Yang, Fully decoupled, linear and unconditionally energy stable time discretization scheme for solving the magneto-hydrodynamic equations, Journal of Computational and Applied Mathematics, 369: 112636, 2020. 14.G. D. Zhang, X. He, X. Yang, A decoupled, linear and unconditionally energy stable scheme with finite element discretizations for magneto-hydrodynamic equations, Journal of Scientific Computing, 81(3): 1678-1711, 2019. 13.X. Yang, G. D.Zhang*, X. He, Convergence analysis of an unconditionally energy stable projection scheme for magneto-hydrodynamic equations, Applied Numerical Mathematics, 136: 235-256, 2019. 12.C. Chen, X. Zhang, G. D Zhang, Y. Zhang, A two-grid finite element method for nonlinear parabolic integro-differential equations, International Journal of Computer Mathematics, 96(10): 2010-2023, 2019. 11.G. D. Zhang, J. Yang, C. Bi, Second order unconditionally convergent and energy stable linearized scheme for MHD equations, Advances in Computational Mathematics, 44: 505-540, 2018. 10.J. Yang, Y. He, G. D. Zhang, On an efficient second order backward difference Newton scheme for MHD system, Journal of Mathematical Analysis and Applications, 458(1): 676-714, 2018. 9.G. D. Zhang, Y. He, Decoupled schemes for unsteady MHD equations. I. Time discretization, Numerical Methods for Partial Differential Equations, 33(3): 956-973, 2017. 8.Y. Ma, J. Xu, G. D. Zhang, Error estimates for a structure preserving discretization of an incompressible MHD system, arXiv preprint arXiv:1608.03034, 2016 7.G. D. Zhang, Y. Zhang, Y. He, Two-level coupled and decoupled parallel correction methods for stationary incompressible magnetohydrodynamics, Journal of Scientific Computing, 65: 920-939, 2015. 6.G. D. Zhang, Y. He, Unconditional convergence of the Euler semi-implicit scheme for the 3D incompressible MHD equations: numerical implementation, International Journal of Numerical Methods for Heat & Fluid Flow, 25(8): 1912-1923, 2015. 5.G. D. Zhang, X. Dong, Y. An, H. Liu, New conditions of stability and convergence of Stokes and Newton iterations for Navier-Stokes equations, Applied Mathematics and Mechanics, 36(7): 863-872, 2015. 4.G. D. Zhang, Y. He, Decoupled schemes for unsteady MHD equations II: Finite element spatial discretization and numerical implementation, Computers & Mathematics with Applications, 69(12): 1390-1406, 2015. 3.G. D. Zhang, Y. He, D. Yang, Analysis of coupling iterations based on the finite element method for stationary magnetohydrodynamics on a general domain, Computers & Mathematics with Applications, 68(7): 770-788, 2014. 2.G. D. Zhang, Y. He, Y. Zhang, Streamline diffusion finite element method for stationary incompressible magnetohydrodynamics, Numerical Methods for Partial Differential Equations, 30(6): 1877-1901, 2014. 1.G. D. Zhang, H.-R.Sun, Multiple solutions for a fourth-order difference boundary value problem with parameter via variational approach, Applied Mathematical Modelling, 36(9): 4385-4392, 2012. |
