Zhiming GAO
Zhiming GAO
Assistant Professor, Institute of Applied Physics and Computational Mathematics
Verified email at iapcm.ac.cn - Homepage
Title
Cited by
Cited by
Year
A linearity-preserving cell-centered scheme for the heterogeneous and anisotropic diffusion equations on general meshes
Z Gao, J Wu
International Journal for Numerical Methods in Fluids 67 (12), 2157-2183, 2011
592011
Linearity preserving nine-point schemes for diffusion equation on distorted quadrilateral meshes
J Wu, Z Dai, Z Gao, G Yuan
Journal of Computational Physics 229 (9), 3382-3401, 2010
502010
A small stencil and extremum-preserving scheme for anisotropic diffusion problems on arbitrary 2D and 3D meshes
Z Gao, J Wu
Journal of Computational Physics 250, 308-331, 2013
492013
A second-order positivity-preserving finite volume scheme for diffusion equations on general meshes
Z Gao, J Wu
SIAM Journal on Scientific Computing 37 (1), A420-A438, 2015
392015
Theoretical and numerical research of wire array Z-pinch and dynamic hohlraum at IAPCM
N Ding, Y Zhang, D Xiao, J Wu, Z Dai, L Yin, Z Gao, S Sun, C Xue, C Ning, ...
Matter and Radiation at Extremes 1 (3), 135-152, 2016
342016
Interpolation-based second-order monotone finite volume schemes for anisotropic diffusion equations on general grids
J Wu, Z Gao
Journal of Computational Physics 275, 569-588, 2014
282014
Shape optimization for Stokes flow
Z Gao, Y Ma, H Zhuang
Applied Numerical Mathematics 58 (6), 827-844, 2008
202008
Shape optimization for Navier–Stokes flow
ZM Gao, YC Ma, HW Zhuang
Inverse Problems in Science and Engineering 16 (5), 583-616, 2008
182008
A stabilized linearity-preserving scheme for the heterogeneous and anisotropic diffusion problems on polygonal meshes
J Wu, Z Gao, Z Dai
Journal of Computational Physics 231 (21), 7152-7169, 2012
162012
Shape sensitivity analysis for a Robin problem via minimax differentiability
Z Gao, Y Ma
Applied mathematics and computation 181 (2), 1090-1105, 2006
162006
Optimal shape design for Stokes flow via minimax differentiability
Z Gao, Y Ma, H Zhuang
Mathematical and computer modelling 48 (3-4), 429-446, 2008
142008
Shape gradient of the dissipated energy functional in shape optimization for the viscous incompressible flow
Z Gao, Y Ma
Applied Numerical Mathematics 58 (11), 1720-1741, 2008
132008
Optimal shape design for the time‐dependent Navier–Stokes flow
Z Gao, Y Ma, H Zhuang
International journal for numerical methods in fluids 57 (10), 1505-1526, 2008
132008
A nine-point scheme with explicit weights for diffusion equations on distorted meshes
J Wu, Z Gao
Applied numerical mathematics 61 (7), 844-867, 2011
122011
A stabilized extremum‐preserving scheme for nonlinear parabolic equation on polygonal meshes
G Peng, Z Gao, X Feng
International Journal for Numerical Methods in Fluids 90 (7), 340-356, 2019
102019
Convergence analysis of mixed finite element approximations to shape gradients in the Stokes equation
S Zhu, Z Gao
Computer Methods in Applied Mechanics and Engineering 343, 127-150, 2019
82019
A vertex‐centered linearity‐preserving discretization of diffusion problems on polygonal meshes
J Wu, Z Gao, Z Dai
International Journal for Numerical Methods in Fluids 81 (3), 131-150, 2016
82016
The cell functional minimization scheme for the anisotropic diffusion problems on arbitrary polygonal grids
L Yin, J Wu, Z Gao
ESAIM: Mathematical Modelling and Numerical Analysis 49 (1), 193-220, 2015
72015
Shape optimization in the Navier‐Stokes flow with thermal effects
W Yan, Z Gao
Numerical Methods for Partial Differential Equations 30 (5), 1700-1715, 2014
62014
Shape identification for convection–diffusion problem based on the continuous adjoint method
W Yan, J Hou, Z Gao
Applied Mathematics Letters 64, 74-80, 2017
52017
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