Convergence analysis for the invariant energy quadratization (IEQ) schemes for solving the Cahn–Hilliard and Allen–Cahn equations with general nonlinear potential X Yang, GD Zhang Journal of scientific computing 82, 1-28, 2020 | 95 | 2020 |
A fully decoupled linearized finite element method with second-order temporal accuracy and unconditional energy stability for incompressible MHD equations GD Zhang, X He, X Yang Journal of computational physics 448, 110752, 2022 | 62 | 2022 |
Convergence analysis of an unconditionally energy stable projection scheme for magneto-hydrodynamic equations X Yang, GD Zhang, X He Applied Numerical Mathematics 136, 235-256, 2019 | 57 | 2019 |
A two-grid finite element method for nonlinear parabolic integro-differential equations C Chen, X Zhang, G Zhang, Y Zhang International Journal of Computer Mathematics 96 (10), 2010-2023, 2019 | 56 | 2019 |
Decoupled schemes for unsteady MHD equations II: Finite element spatial discretization and numerical implementation GD Zhang, Y He Computers & Mathematics with Applications 69 (12), 1390-1406, 2015 | 53 | 2015 |
Second order unconditionally convergent and energy stable linearized scheme for MHD equations GD Zhang, J Yang, C Bi Advances in Computational Mathematics 44, 505-540, 2018 | 49 | 2018 |
Analysis of coupling iterations based on the finite element method for stationary magnetohydrodynamics on a general domain GD Zhang, Y He, D Yang Computers & Mathematics with Applications 68 (7), 770-788, 2014 | 48 | 2014 |
A decoupled, linear and unconditionally energy stable scheme with finite element discretizations for magneto-hydrodynamic equations GD Zhang, XM He, XF Yang Journal of scientific computing 81 (3), 1678-1711, 2019 | 45 | 2019 |
Fully decoupled, linear and unconditionally energy stable time discretization scheme for solving the magneto-hydrodynamic equations GD Zhang, X He, X Yang Journal of computational and applied mathematics 369, 112636, 2020 | 39 | 2020 |
Decoupled, linear, and unconditionally energy stable fully discrete finite element numerical scheme for a two-phase ferrohydrodynamics model GD Zhang, X He, X Yang SIAM Journal on Scientific Computing 43 (1), B167-B193, 2021 | 36 | 2021 |
Unconditional convergence of the Euler semi-implicit scheme for the 3D incompressible MHD equations: numerical implementation GD Zhang, Y He International Journal of Numerical Methods for Heat & Fluid Flow 25 (8 …, 2015 | 32 | 2015 |
Numerical approximations of the Cahn-Hilliard and Allen-Cahn equations with general nonlinear potential using the invariant energy quadratization approach X Yang, G Zhang arXiv preprint arXiv:1712.02760, 2017 | 31 | 2017 |
Streamline diffusion finite element method for stationary incompressible magnetohydrodynamics GD Zhang, Y He, Y Zhang Numerical Methods for Partial Differential Equations 30 (6), 1877-1901, 2014 | 30 | 2014 |
Decoupled schemes for unsteady MHD equations. I. Time discretization GD Zhang, Y He Numerical Methods for Partial Differential Equations 33 (3), 956-973, 2017 | 24 | 2017 |
Two-level coupled and decoupled parallel correction methods for stationary incompressible magnetohydrodynamics GD Zhang, Y Zhang, Y He Journal of Scientific Computing 65, 920-939, 2015 | 24 | 2015 |
On an efficient second order backward difference Newton scheme for MHD system J Yang, Y He, G Zhang Journal of Mathematical Analysis and Applications 458 (1), 676-714, 2018 | 19 | 2018 |
Highly efficient and energy stable schemes for the 2D/3D diffuse interface model of two-phase magnetohydrodynamics H Su, GD Zhang Journal of Scientific Computing 90, 1-31, 2022 | 18 | 2022 |
Energy stable schemes with second order temporal accuracy and decoupled structure for diffuse interface model of two-phase magnetohydrodynamics H Su, GD Zhang Communications in Nonlinear Science and Numerical Simulation 119, 107126, 2023 | 11 | 2023 |
Uniformly robust preconditioners for incompressible MHD system GD Zhang, C Chen Journal of Computational and Applied Mathematics 379, 112914, 2020 | 10 | 2020 |
Reformulated weak formulation and efficient fully discrete finite element method for a two-phase ferrohydrodynamics Shliomis model G Zhang, X He, X Yang SIAM Journal on Scientific Computing 45 (3), B253-B282, 2023 | 9 | 2023 |