Zhiming Gao

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All published works

Action	Title	Year	Authors
+ PDF Chat	An extrapolation-driven network architecture for physics-informed deep learning	2024	Yong Wang Yanzhong Yao Zhiming Gao
+	Modeling Radiation Belt Dynamics Using a Positivity‐Preserving Finite Volume Method on General Meshes	2024	Peng Peng Xin Tao Zong Peng Yan Jiang Zhiming Gao Di Yang J. M. Albert A. A. Chan
+ PDF Chat	A practical PINN framework for multi-scale problems with multi-magnitude loss terms	2024	Yong Wang Yanzhong Yao Jiawei Guo Zhiming Gao
+	A virtual element method‐based positivity‐preserving conservative scheme for convection–diffusion problems on polygonal meshes	2022	Meihua Sheng Di Yang Zhiming Gao
+	The positivity‐preserving finite volume scheme with fixed stencils for anisotropic diffusion problems on general polyhedral meshes	2022	Di Yang Zhiming Gao Guoxi Ni
+	The positivity‐preserving finite volume scheme with fixed stencils for anisotropic diffusion problems on general polyhedral meshes	2022	Di Yang Zhiming Gao Guoxi Ni
+	The VEM-based positivity-preserving conservative scheme for radiation diffusion problems on generalized polyhedral meshes	2022	Di Yang Meihua Sheng Zhiming Gao Guoxi Ni
+ PDF Chat	A Positivity-Preserving Finite Volume Scheme for Nonequilibrium Radiation Diffusion Equations on Distorted Meshes	2022	Di Yang Gang Peng Zhiming Gao
+	A posteriori element residual error estimations for the cell functional minimization scheme	2022	Li Yin Zhiming Gao Yanzhao Cao
+	An extremum‐preserving finite volume scheme for three‐temperature radiation diffusion equations	2022	Gang Peng Zhiming Gao Xinlong Feng
+ PDF Chat	Efficient Monte Carlo algorithm of time-dependent particle transport problem in multi-physics coupling calculation	2022	Shangguan Danhua Wei-Hua Yan Junxia Wei Zhiming Gao Yi-Bing Chen Zhicheng Ji
+	The cell-centered positivity-preserving finite volume scheme for 3D anisotropic diffusion problems on distorted meshes	2021	Gang Peng Zhiming Gao Wenjing Yan Xinlong Feng
+	An extremum-preserving finite volume scheme for convection-diffusion equation on general meshes	2020	Gang Peng Zhiming Gao Xinlong Feng
+	A novel cell-centered finite volume scheme with positivity-preserving property for the anisotropic diffusion problems on general polyhedral meshes	2020	Gang Peng Zhiming Gao Xinlong Feng
+	A positivity-preserving finite volume scheme for three-temperature radiation diffusion equations	2020	Gang Peng Zhiming Gao Wenjing Yan Xinlong Feng
+	A positivity-preserving nonlinear finite volume scheme for radionuclide transport calculations in geological radioactive waste repository	2019	Gang Peng Zhiming Gao Wenjing Yan Xinlong Feng
+	Method of Order Reduction for the High-Dimensional Convection-Diffusion-Reaction Equation with Robin Boundary Conditions Based on MQ RBF-FD	2019	Jingwei Li Zhiming Gao Xinlong Feng Yinnian He
+	A stabilized extremum‐preserving scheme for nonlinear parabolic equation on polygonal meshes	2019	Gang Peng Zhiming Gao Xinlong Feng
+	A Family of Linearity-Preserving Schemes for Anisotropic Diffusion Problems on General Grids	2016	Longshan Luo Jiming Wu Zhiming Gao
+	Shape identification for convection–diffusion problem based on the continuous adjoint method	2016	Wenjing Yan Jiangyong Hou Zhiming Gao
+	A vertex‐centered linearity‐preserving discretization of diffusion problems on polygonal meshes	2015	Jiming Wu Zhiming Gao Zihuan Dai
+	A Second-Order Positivity-Preserving Finite Volume Scheme for Diffusion Equations on General Meshes	2015	Zhiming Gao Jiming Wu
+	A Linearity-Preserving Cell-Centered Scheme for the Anisotropic Diffusion Equations	2014	Zhiming Gao Jiming Wu
+	A small stencil and extremum-preserving scheme for anisotropic diffusion problems on arbitrary 2D and 3D meshes	2013	Zhiming Gao Jiming Wu
+	A stabilized linearity-preserving scheme for the heterogeneous and anisotropic diffusion problems on polygonal meshes	2012	Jiming Wu Zhiming Gao Zihuan Dai
+	A nine-point scheme with explicit weights for diffusion equations on distorted meshes	2011	Jiming Wu Zhiming Gao
+ PDF Chat	A linearity‐preserving cell‐centered scheme for the heterogeneous and anisotropic diffusion equations on general meshes	2010	Zhiming Gao Jiming Wu
+	A new stabilized finite element method for optimal control for a Ladyzhenskaya model for unsteady flows	2010	Zhiming Gao Fande Kong Yichen Ma
+	Linearity preserving nine-point schemes for diffusion equation on distorted quadrilateral meshes	2010	Jiming Wu Zihuan Dai Zhiming Gao Guangwei Yuan
+ PDF Chat	Shape optimization for Navier–Stokes flow	2008	Zhiming Gao Y. C. Hongwei Zhuang
+ PDF Chat	Optimal shape design for the time‐dependent Navier–Stokes flow	2007	Zhiming Gao Yichen Ma Hongwei Zhuang
+	Optimal shape design for Stokes flow via minimax differentiability	2007	Zhiming Gao Yichen Ma Hongwei Zhuang
+ PDF Chat	Shape Hessian for generalized Oseen flow by differentiability of a minimax: A Lagrangian approach	2007	Zhiming Gao Yichen Ma Hongwei Zhuang
+	Optimal Shape Design for the Viscous Incompressible Flow	2007	Zhiming Gao Yichen Ma
+	Optimal Shape Design for Stokes Flow Via Minimax Differentiability	2007	Zhiming Gao Y. C. Hongwei Zhuang
+	Optimal Shape Design for the Time-dependent Navier--Stokes Flow	2006	Zhiming Gao Yichen Ma Hongwei Zhuang
+	Shape Optimization for Navier-Stokes Flow	2006	Zhiming Gao Yichen Ma Hongwei Zhuang
+ PDF Chat	A perturbational h4 exponential finite difference scheme for the convective diffusion equation	1992	G.Q Chen Zhiming Gao Zhichao Yang

Common Coauthors

Coauthor	Papers Together
Jiming Wu	9
Xinlong Feng	8
Hongwei Zhuang	7
Yichen Ma	6
Di Yang	6
Gang Peng	4
Gang Peng	4
Wenjing Yan	4
Guoxi Ni	3
Y. C.	2
Zihuan Dai	2
Meihua Sheng	2
Yong Wang	2
Yanzhong Yao	2
Peng Peng	1
Jingwei Li	1
Yinnian He	1
Zhichao Yang	1
Yi-Bing Chen	1
Guangwei Yuan	1
Fande Kong	1
Shangguan Danhua	1
Yichen Ma	1
Junxia Wei	1
Zong Peng	1
Li Yin	1
Wei-Hua Yan	1
Yanzhao Cao	1
Zihuan Dai	1
Jiangyong Hou	1
Longshan Luo	1
Xin Tao	1
G.Q Chen	1
Yan Jiang	1
J. M. Albert	1
A. A. Chan	1
Jiawei Guo	1
Zhicheng Ji	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A Second-Order Positivity-Preserving Finite Volume Scheme for Diffusion Equations on General Meshes	2015	Zhiming Gao Jiming Wu	12
+	Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes	2008	Konstantin Lipnikov D. Svyatskiy Yuri Vassilevski	11
+ PDF Chat	A linearity‐preserving cell‐centered scheme for the heterogeneous and anisotropic diffusion equations on general meshes	2010	Zhiming Gao Jiming Wu	11
+ PDF Chat	Schéma volumes finis monotone pour des opérateurs de diffusion fortement anisotropes sur des maillages de triangles non structurés	2005	Christophe Le Potier	11
+	Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes	2007	Konstantin Lipnikov Mikhail Shashkov D. Svyatskiy Yuri Vassilevski	9
+ PDF Chat	Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem	1999	Yves Coudière Jean‐Paul Vila Philippe Villedieu	9
+	Linearity preserving nine-point schemes for diffusion equation on distorted quadrilateral meshes	2010	Jiming Wu Zihuan Dai Zhiming Gao Guangwei Yuan	8
+	A small stencil and extremum-preserving scheme for anisotropic diffusion problems on arbitrary 2D and 3D meshes	2013	Zhiming Gao Jiming Wu	7
+	A stabilized linearity-preserving scheme for the heterogeneous and anisotropic diffusion problems on polygonal meshes	2012	Jiming Wu Zhiming Gao Zihuan Dai	6
+	A family of monotone methods for the numerical solution of three-dimensional diffusion problems on unstructured tetrahedral meshes	2007	Ivan Kapyrin	6
+	Monotone Finite Volume Scheme for Three Dimensional Diffusion Equation on Tetrahedral Meshes	2016	Xiang Lai Zhiqiang Sheng Guangwei Yuan	5
+	A cell-centered diffusion scheme on two-dimensional unstructured meshes	2006	J. Breil Pierre‐Henri Maire	5
+ PDF Chat	Preserving monotonicity in anisotropic diffusion	2007	Prateek Sharma G. W. Hammett	4
+	Solving Diffusion Equations with Rough Coefficients in Rough Grids	1996	Mikhail Shashkov Stanly Steinberg	4
+	A decoupled and positivity-preserving discrete duality finite volume scheme for anisotropic diffusion problems on general polygonal meshes	2018	Shuai Su Qiannan Dong Jiming Wu	4
+	Differencing of the diffusion equation in Lagrangian hydrodynamic codes	1981	David Kershaw	4
+	Anderson Acceleration for Nonlinear Finite Volume Scheme for Advection-Diffusion Problems	2013	Konstantin Lipnikov D. Svyatskiy Yuri Vassilevski	4
+	A stabilized extremum‐preserving scheme for nonlinear parabolic equation on polygonal meshes	2019	Gang Peng Zhiming Gao Xinlong Feng	4
+	On the accuracy of a nonlinear finite volume method for the solution of diffusion problems using different interpolations strategies	2013	LAURA ELYSE SOUZA DE QUEIROZ M. R. Souza Fernando Raul Licapa Contreras P Lyra Darlan Karlo Elisiário de Carvalho	4
+	A CELL-CENTERED SECOND-ORDER ACCURATE FINITE VOLUME METHOD FOR CONVECTION–DIFFUSION PROBLEMS ON UNSTRUCTURED MESHES	2004	Enrico Bertolazzi Gianmarco Manzini	4
+	A Second-Order Maximum Principle Preserving Finite Volume Method for Steady Convection-Diffusion Problems	2005	Enrico Bertolazzi Gianmarco Manzini	4
+ PDF Chat	Piecewise linear transformation in diffusive flux discretization	2014	D. Vidović Milan Dotlić M. Pušić Boris Pokorni	4
+	An efficient cell-centered diffusion scheme for quadrilateral grids	2008	M. M. Basko J. A. Maruhn An. Tauschwitz	3
+ PDF Chat	Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes	2005	Franco Brezzi Konstantin Lipnikov Mikhail Shashkov	3
+	Enforcing positivity with conservation for nine-point scheme of nonlinear diffusion equations	2012	Yanzhong Yao Guangwei Yuan	3
+	Analysis of the monotonicity conditions in the mimetic finite difference method for elliptic problems	2011	Konstantin Lipnikov Gianmarco Manzini D. Svyatskiy	3
+	On optimum design in fluid mechanics	1974	Olivier Pironneau	3
+	The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes	2011	Zhiqiang Sheng Guangwei Yuan	3
+ PDF Chat	Discrete maximum principle for Galerkin approximations of the Laplace operator on arbitrary meshes	2004	Erik Burman Alexandre Ern	3
+ PDF Chat	A positivity-preserving pyramid scheme for anisotropic diffusion problems on general hexahedral meshes with nonplanar cell faces	2018	Shuai Wang Xudeng Hang Guangwei Yuan	3
+ PDF Chat	Shape optimization for Navier–Stokes flow	2008	Zhiming Gao Y. C. Hongwei Zhuang	3
+	Anderson acceleration and application to the three-temperature energy equations	2017	Hengbin An Xiaowei Jia Homer F. Walker	3
+	Directional derivative of a minimax function	1985	Rafaël Correa Alberto Seeger	3
+ PDF Chat	Correction non linéaire et principe du maximum pour la discrétisation d'opérateurs de diffusion avec des schémas volumes finis centrés sur les mailles	2010	Christophe Le Potier	3
+	A Finite Volume Scheme Preserving Maximum Principle for the System of Radiation Diffusion Equations with Three-Temperature	2019	Yunlong Yu Xingding Chen Guangwei Yuan	3
+	Lectures on optimization : theory and algorithms	1978	Jean Céa	2
+	On the number of B π′-characters in a nilpotent π-block	2007	Jinke Hai Yixin Zhu	2
+	None	2002	James M. Hyman Jim E. Morel Mikhail Shashkov Stanly Steinberg	2
+	A Multigrid Newton–Krylov Method for Multimaterial Equilibrium Radiation Diffusion	1999	William J. Rider D. A. Knoll Gordon L. Olson	2
+ PDF Chat	Galerkin Finite Element Methods for Parabolic Problems.	1985	Rolf Rannacher Vidar Thomée	2
+	A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES	2005	Franco Brezzi Konstantin Lipnikov Valeria Simoncini	2
+	Approximation of diffusion operators with discontinuous tensor coefficients on distorted meshes	2003	F. Hermeline	2
+	A nine-point scheme with explicit weights for diffusion equations on distorted meshes	2011	Jiming Wu Zhiming Gao	2
+	Optimal shape design for Stokes flow via minimax differentiability	2007	Zhiming Gao Yichen Ma Hongwei Zhuang	2
+ PDF Chat	Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces	2009	Robert Eymard Thierry Gallouët R. Herbin	2
+	Calculating the vertex unknowns of nine point scheme on quadrilateral meshes for diffusion equation	2008	Guangwei Yuan Zhiqiang Sheng	2
+	P 1-Nonconforming Quadrilateral Finite Volume Methods for the Semilinear Elliptic Equations	2011	Xinlong Feng Rongfei Li Yinnian He Demin Liu	2
+	Analysis and construction of cell-centered finite volume scheme for diffusion equations on distorted meshes	2009	Qiang Zhao Guangwei Yuan	2
+ PDF Chat	A Limited Memory Algorithm for Bound Constrained Optimization	1995	Richard H. Byrd Peihuang Lu Jorge Nocedal Ciyou Zhu	2
+	Finite volume element methods for nonequilibrium radiation diffusion equations	2013	Xiukun Zhao Yanli Chen Yanni Gao Changhua Yu Yonghai Li	2