Zhiyong Si

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All published works

Action	Title	Year	Authors
+	Second-order modified characteristics FEMs for the time-dependent thermally coupled incompressible MHD equations	2024	Zhiyong Si Jingyun Lu Yunxia Wang
+ PDF Chat	A Crank–Nicolson leap-frog scheme for the unsteady incompressible magnetohydrodynamics equations	2024	Zhiyong Si Mingyi Wang Yunxia Wang
+	A generalized scalar auxiliary variable method for the time-dependent Ginzburg-Landau equations	2024	Zhiyong Si
+	A Note on the Calculation of Vertex Energy of Graphs Based on Estrada-Benzi Approach	2024	Yang Yang Yanyan Song Zhiyong Si Haiyan Qiao
+	A convex splitting method for the time-dependent Ginzburg-Landau equation	2023	Yunxia Wang Zhiyong Si
+	A consistent projection finite element method for the non-stationary incompressible thermally coupled MHD equations	2023	Zhiyong Si Akang Hou Yunxia Wang
+	A rotational velocity‐correction projection method for the Kelvin–Voigt viscoelastic fluid equations	2022	Zhiyong Si Qing Wang Yunxia Wang
+	Unconditional stability and error estimates of the modified characteristics FEMs for the time-dependent thermally coupled incompressible MHD equations	2022	Zhiyong Si Jingyun Lu Yunxia Wang
+	A generalized scalar auxiliary variable method for the time-dependent Ginzburg-Landau equations	2022	Zhiyong Si
+	Unconditional stability and error estimates of FEMs for the electro-osmotic flow in micro-channels	2022	Zhiyong Si Dongdong He
+	A Crank-Nicolson leap-frog scheme for the unsteady incompressible magnetohydrodynamics equations	2022	Zhiyong Si Mingyi Wang Yunxia Wang
+	A consistent projection finite element method for the incompressible MHD equations	2019	Yang Yang Zhiyong Si
+	Unconditional optimal error estimate of the projection/Lagrange-Galerkin finite element method for the Boussinesq equations	2019	Zhiyong Si Yanfang Lei Tong Zhang
+	Unconditional stability and error estimates of the modified characteristics FEMs for the time-dependent incompressible MHD equations	2018	Yang Yang Zhiyong Si
+	A decoupling penalty finite element method for the stationary incompressible MagnetoHydroDynamics equation	2018	Deng Ji-en Zhiyong Si
+ PDF Chat	Partitioned penalty methods for the transport equation in the evolutionary Stokes–Darcy‐transport problem	2018	Vincent J. Ervin Michaela Kubacki William Layton Marina Moraiti Zhiyong Si Cătălin Trenchea
+	Error estimate of a fully discrete defect correction finite element method for unsteady incompressible Magnetohydrodynamics equations	2017	Yanfang Lei Yang Yang Zhiyong Si
+	A semi‐discrete defect correction finite element method for unsteady incompressible magnetohydrodynamics equations	2017	Zhiyong Si Cui Liu Yunxia Wang
+	Defect correction finite element method for the stationary incompressible Magnetohydrodynamics equation	2016	Zhiyong Si Shujie Jing Yunxia Wang
+ PDF Chat	On Limiting Behavior of Contaminant Transport Models in Coupled Surface and Groundwater Flows	2015	Vincent J. Ervin Michaela Kubacki William Layton Marina Moraiti Zhiyong Si Cătălin Trenchea
+	Unconditional stability and error estimates of modified characteristics FEMs for the Navier–Stokes equations	2015	Zhiyong Si Jilu Wang Weiwei Sun
+	Local Multilevel Method on Adaptively Refined Meshes for Elliptic Problems with Smooth Complex Coefficients	2015	Shishun Li Xinping Shao Zhiyong Si
+	Decoupled two‐grid finite element method for the time‐dependent natural convection problem I: Spatial discretization	2015	Tong Zhang Jinyun Yuan Zhiyong Si
+	Several iterative schemes for the stationary natural convection equations at different <scp>R</scp>ayleigh numbers	2014	Pengzhan Huang Wenqiang Li Zhiyong Si
+	A New Error Analysis of Characteristics-Mixed FEMs for Miscible Displacement in Porous Media	2014	Jilu Wang Zhiyong Si Weiwei Sun
+	Modified Characteristics Gauge–Uzawa Finite Element Method for Time Dependent Conduction–Convection Problems	2013	Zhiyong Si Xiaogang Song Pengzhan Huang
+	Fully discrete local discontinuous Galerkin method for solving the fractional telegraph equation	2013	Leilei Wei Huiya Dai Dingling Zhang Zhiyong Si
+	A defect-correction method for unsteady conduction–convection problems II: Time discretization	2011	Zhiyong Si Yinnian He Tong Zhang
+	A stabilized Oseen iterative finite element method for stationary conduction–convection equations	2011	Pengzhan Huang Tong Zhang Zhiyong Si
+	A stabilised characteristic finite element method for transient Navier–Stokes equations	2010	Tong Zhang Zhiyong Si Yinnian He
+	New one- and two-level Newton iterative mixed finite element methods for stationary conduction–convection problems	2010	Zhiyong Si Yueqiang Shang Tong Zhang
+	A Newton iterative mixed finite element method for stationary conduction–convection problems	2010	Zhiyong Si Tong Zhang Kun Wang
+	The semi-discrete streamline diffusion finite element method for time-dependented convection–diffusion problems	2008	Zhiyong Si Xinlong Feng Abdurishit Abduwali

Common Coauthors

Coauthor	Papers Together
Tong Zhang	4
Tong Zhang	3
Yunxia Wang	3
Pengzhan Huang	3
Yunxia Wang	2
Weiwei Sun	2
Cătălin Trenchea	2
Marina Moraiti	2
Michaela Kubacki	2
Vincent J. Ervin	2
Yanfang Lei	2
William Layton	2
Yang Yang	2
Jingyun Lu	2
Yinnian He	2
Jilu Wang	2
Yunxia Wang	2
Yunxia Wang	1
Cui Liu	1
Mingyi Wang	1
Mingyi Wang	1
Yanyan Song	1
Xiaogang Song	1
Haiyan Qiao	1
Huiya Dai	1
Akang Hou	1
Deng Ji-en	1
Yueqiang Shang	1
Dingling Zhang	1
Shishun Li	1
Xinlong Feng	1
Jinyun Yuan	1
Abdurishit Abduwali	1
Shujie Jing	1
Leilei Wei	1
Xinping Shao	1
Yunxia Wang	1
Wenqiang Li	1
Kun Wang	1
Yang Yang	1
Yang Yang	1
Qing Wang	1
Dongdong He	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	New development in freefem++	2012	Frédéric Hecht	13
+	Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations	2014	Yinnian He	11
+	Defect correction finite element method for the stationary incompressible Magnetohydrodynamics equation	2016	Zhiyong Si Shujie Jing Yunxia Wang	9
+	Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures	1982	Jim Douglas Thomas F. Russell	8
+ PDF Chat	Some mathematical questions related to the mhd equations	1983	Michel Sermange Roger Témam	7
+	Error analysis for finite element methods for steady natural convection problems	1990	J. M. Boland William Layton	7
+	Convergence of three iterative methods based on the finite element discretization for the stationary Navier–Stokes equations	2008	Yinnian He Jian Li	7
+	Two-Level Newton Iterative Method for the 2D/3D Stationary Incompressible Magnetohydrodynamics	2014	Xiaojing Dong Yinnian He	7
+	On the transport-diffusion algorithm and its applications to the Navier-Stokes equations	1982	Olivier Pironneau	6
+	Stability and Convergence of the Crank–Nicolson/Adams–Bashforth scheme for the Time‐Dependent Navier–Stokes Equations	2007	Yinnian He Weiwei Sun	5
+	Convergence analysis of three finite element iterative methods for the 2D/3D stationary incompressible magnetohydrodynamics	2014	Xiaojing Dong Yinnian He Yan Zhang	5
+	A defect-correction method for unsteady conduction–convection problems II: Time discretization	2011	Zhiyong Si Yinnian He Tong Zhang	5
+	A Modified Characteristic Finite Element Method for a Fully Nonlinear Formulation of the Semigeostrophic Flow Equations	2009	Xiaobing Feng Michael Neilan	5
+	A New Error Analysis of Characteristics-Mixed FEMs for Miscible Displacement in Porous Media	2014	Jilu Wang Zhiyong Si Weiwei Sun	5
+	A simplified two-level method for the steady Navier–Stokes equations	2007	Yinnian He Aiwen Wang	4
+ PDF Chat	Numerical solution of the Navier-Stokes equations	1968	Alexandre J. Chorin	4
+	Adaptive refinement for convection-diffusion problems based on a defect-correction technique and finite difference method	1997	Owe Axelsson Maria P. Nikolova	4
+	Unconditional stability and error estimates of modified characteristics FEMs for the Navier–Stokes equations	2015	Zhiyong Si Jilu Wang Weiwei Sun	4
+	Die Anwendung der Iterierten Defektkorrektur auf Variationsmethoden für elliptische Randwertprobleme	1983	Reinhard Frank Jörg Hertling J. Monnet	4
+	A semi‐discrete defect correction finite element method for unsteady incompressible magnetohydrodynamics equations	2017	Zhiyong Si Cui Liu Yunxia Wang	4
+	Error estimate of a fully discrete defect correction finite element method for unsteady incompressible Magnetohydrodynamics equations	2017	Yanfang Lei Yang Yang Zhiyong Si	4
+	New one- and two-level Newton iterative mixed finite element methods for stationary conduction–convection problems	2010	Zhiyong Si Yueqiang Shang Tong Zhang	4
+	A defect–correction parameter-uniform numerical method for a singularly perturbed convection–diffusion problem in one dimension	2006	J.L. Gracia Eugene O’Riordan	4
+	Streamline diffusion finite element method for stationary incompressible magnetohydrodynamics	2014	Guodong Zhang Yinnian He Yan Zhang	4
+	An Analysis of a Defect-Correction Method for a Model Convection-Diffusion Equation	1989	Vincent J. Ervin William Layton	4
+	A defect correction method for the time‐dependent Navier‐Stokes equations	2008	A. Labovschii	4
+	Modified Characteristics Gauge–Uzawa Finite Element Method for Time Dependent Conduction–Convection Problems	2013	Zhiyong Si Xiaogang Song Pengzhan Huang	4
+	Iterated Defect Correction for the Solution of Singular Initial Value Problems	2001	Othmar Koch Ewa Weinmüller	4
+	Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization	1982	John G. Heywood Rolf Rannacher	4
+	Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires (II)	1969	Roger Témam	3
+ PDF Chat	Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media	2013	Buyang Li Weiwei Sun	3
+	Second order unconditional linear energy stable, rotational velocity correction method for unsteady incompressible magneto-hydrodynamic equations	2022	Ke Zhang Haiyan Su Xinlong Feng	3
+	A consistent projection finite element method for the incompressible MHD equations	2019	Yang Yang Zhiyong Si	3
+	Unconditional convergence of the Euler semi-implicit scheme for the 3D incompressible MHD equations	2015	Guodong Zhang Yinnian He	3
+	A Newton iterative mixed finite element method for stationary conduction–convection problems	2010	Zhiyong Si Tong Zhang Kun Wang	3
+	Modified Lagrange–Galerkin methods of first and second order in time for convection–diffusion problems	2011	Rodolfo Bermejo Laura Saavedra	3
+	Thermally coupled magnetohydrodynamics flow	1994	A. J. Meir	3
+	Two-dimensional non-linear inverse heat conduction problem based on the singular value decomposition	2008	Juan Andrés Martín García José María Gutiérrez Cabeza Alfonso Corz Rodríguez	3
+ PDF Chat	A summary of numerical methods for time-dependent advection-dominated partial differential equations	2001	Richard E. Ewing Hong Wang	3
+	Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations	2012	Buyang Li Weiwei Sun	3
+	Optimal Error Estimates of Linearized Crank-Nicolson Galerkin FEMs for the Time-Dependent Ginzburg--Landau Equations in Superconductivity	2014	Huadong Gao Buyang Li Weiwei Sun	2
+	Pointwise error estimates of finite element approximations to the Stokes problem on convex polyhedra	2012	Johnny Guzmán Dmitriy Leykekhman	2
+	Mathematical and numerical analysis of the time-dependent Ginzburg–Landau equations in nonconvex polygons based on Hodge decomposition	2016	Buyang Li Zhimin Zhang	2
+ PDF Chat	A Single-Step Characteristic-Curve Finite Element Scheme of Second Order in Time for the Incompressible Navier-Stokes Equations	2008	Hirofumi Notsu Masahisa Tabata	2
+ PDF Chat	IMPACT OF TEMPERATURE-DEPENDENT RESISTIVITY AND THERMAL CONDUCTION ON PLASMOID INSTABILITIES IN CURRENT SHEETS IN THE SOLAR CORONA	2012	Lei Ni I. I. Roussev Jun Lin Udo Ziegler	2
+	An Optimal-Order Estimate for Eulerian–Lagrangian Localized Adjoint Methods for Variable-Coefficient Advection-Reaction Problems	1996	Richard E. Ewing Hong Wang	2
+	Large Solutions to the Initial-Boundary Value Problem for Planar Magnetohydrodynamics	2003	Dehua Wang	2
+	Approximation of the global attractor for the incompressible Navier-Stokes equations	2000	Adrian T. Hill	2
+	An efficient fully linearized semi-implicit Galerkin-mixed FEM for the dynamical Ginzburg–Landau equations of superconductivity	2015	Huadong Gao Weiwei Sun	2
+ PDF Chat	A new approach for numerical simulation of the time-dependent Ginzburg–Landau equations	2015	Buyang Li Zhimin Zhang	2