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All published works
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Title
Year
Authors
+
Convergence analysis of finite element method for incompressible magnetohydrodynamics system with variable density
2025
Qianqian Ding
Mingxia Li
+
Second Order Unconditionally Convergent Fully Discrete Scheme for Incompressible Vector Potential MHD System
2024
Qianqian Ding
Xiaonian Long
Shipeng Mao
Ruijie Xi
+
PDF
Chat
Stability analysis of second order fully discrete scheme for magneto-thermal coupling system
2024
Xiaonian Long
Qianqian Ding
+
Error analysis of a fully discrete projection method for magnetohydrodynamic system
2022
Qianqian Ding
Xiaoming He
Xiaonian Long
Shipeng Mao
+
Convergence analysis of a conservative finite element scheme for the thermally coupled incompressible inductionless MHD problem
2022
Xiaonian Long
Qianqian Ding
+
PDF
Chat
A Mixed Finite Element Method for Stationary Magneto-Heat Coupling System with Variable Coefficients
2022
Qianqian Ding
Xiaonian Long
Shipeng Mao
+
PDF
Chat
Convergence analysis of a fully discrete finite element method for thermally coupled incompressible MHD problems with temperature-dependent coefficients
2022
Qianqian Ding
Xiaonian Long
Shipeng Mao
+
A Second Order Unconditionally Convergent Finite Element Method for the Thermal Equation with Joule Heating Problem
2022
Xiaonian Long
Qianqian Ding
+
Convergence analysis of Crank-Nicolson extrapolated fully discrete scheme for thermally coupled incompressible magnetohydrodynamic system
2020
Qianqian Ding
Xiaonian Long
Shipeng Mao
Common Coauthors
Coauthor
Papers Together
Xiaonian Long
8
Shipeng Mao
5
Mingxia Li
1
Xiaoming He
1
Ruijie Xi
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
PDF
Chat
Some mathematical questions related to the mhd equations
1983
Michel Sermange
Roger TĂ©mam
7
+
Mixed Finite Element Methods and Applications
2013
Daniele Boffi
Franco Brezzi
Michel Fortin
7
+
Stable finite element methods preserving $$\nabla \cdot \varvec{B}=0$$ â · B = 0 exactly for MHD models
2016
Kaibo Hu
Yicong Ma
Jinchao Xu
7
+
Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations
2014
Yinnian He
7
+
Finite Element Approximation of the Nonstationary NavierâStokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
1982
John G. Heywood
Rolf Rannacher
6
+
A SET OF SYMMETRIC QUADRATURE RULES ON TRIANGLES AND TETRAHEDRA
2009
Linbo
Zhang
Tao Tao
Cui
Hui Hui
Liu Liu
5
+
PDF
Chat
Finite Element Methods for Maxwell's Equations
2003
Peter Monk
5
+
PDF
Chat
Weighted regularization of Maxwell equations in polyhedral domains
2002
Martin Costabel
Monique Dauge
4
+
PDF
Chat
A semi-implicit energy conserving finite element method for the dynamical incompressible magnetohydrodynamics equations
2018
Huadong Gao
Weifeng Qiu
4
+
Second order unconditionally convergent and energy stable linearized scheme for MHD equations
2017
Guodong Zhang
Jinjin Yang
Chunjia Bi
4
+
Singularities of Electromagnetic Fields¶in Polyhedral Domains
2000
Martin Costabel
Monique Dauge
4
+
Convergent finite element discretization of the multi-fluid nonstationary incompressible magnetohydrodynamics equations
2010
ÄœubomĂr BaĆas
Andreas Prohl
4
+
The initial value problem for a generalized Boussinesq model
1999
SebastiĂĄn Lorca
José Luiz Boldrini
3
+
PDF
Chat
Error estimates of finite element methods for nonstationary thermal convection problems with temperature-dependent coefficients
2005
Masahisa Tabata
Daisuke Tagami
3
+
Convergence analysis of Crank-Nicolson extrapolated fully discrete scheme for thermally coupled incompressible magnetohydrodynamic system
2020
Qianqian Ding
Xiaonian Long
Shipeng Mao
3
+
Numerical analysis of the CrankâNicolson extrapolation time discrete scheme for magnetohydrodynamics flows
2015
Yuhong Zhang
Yanren Hou
Shan Li
3
+
Long-term dissipativity of time-stepping algorithms for an abstract evolution equation with applications to the incompressible MHD and Navier-Stokes equations
1996
F. Armero
J.C. Simo
3
+
PDF
Chat
Compact sets in the spaceL p (O,T; B)
1986
Jacques Simon
2
+
PDF
Chat
Singularities of Corner Problems and Problems of Corner Singularities
1999
Monique Dauge
2
+
Magnetostatic and Electrostatic Problems in Inhomogeneous Anisotropic Media with Irregular Boundary and Mixed Boundary Conditions
1997
Paolo Fernandes
Gianni Gilardi
2
+
Thermally coupled magnetohydrodynamics flow
1994
A. J. Meir
2
+
On the regularity criteria for weak solutions to the magnetohydrodynamic equations
2007
He Cheng
Yun Wang
2
+
Stationary Stokes and NavierâStokes Systems on Two- or Three-Dimensional Domains with Corners. Part I. Linearized Equations
1989
Monique Dauge
2
+
Stationary Solutions for Generalized Boussinesq Models
1996
SebastiĂĄn Lorca
José Luiz Boldrini
2
+
Efficient splitting schemes for magneto-hydrodynamic equations
2016
Heejun Choi
Jie Shen
2
+
A semiâdiscrete defect correction finite element method for unsteady incompressible magnetohydrodynamics equations
2017
Zhiyong Si
Cui Liu
Yunxia Wang
2
+
PDF
Chat
Convergence analysis of a fully discrete finite element method for thermally coupled incompressible MHD problems with temperature-dependent coefficients
2022
Qianqian Ding
Xiaonian Long
Shipeng Mao
2
+
NUMERICAL MATHEMATICS AND SCIENTIFIC COMPUTATION
2005
1
+
Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods
2010
John N. Shadid
Roger P. Pawlowski
Jeffrey W. Banks
Luis ChacĂłn
Paul Lin
Raymond S. Tuminaro
1
+
Convergence analysis of three finite element iterative methods for the 2D/3D stationary incompressible magnetohydrodynamics
2014
Xiaojing Dong
Yinnian He
Yan Zhang
1
+
The â·B=0 Constraint in Shock-Capturing Magnetohydrodynamics Codes
2000
G. TĂłth
1
+
Analysis of an iterative method for variable density incompressible fluids
2009
Elva Ortega-Torres
Pablo Braz e Silva
Marko Antonio Rojas-Medar
1
+
PDF
Chat
Finite element approximation to infinite Prandtl number Boussinesq equations with temperature-dependent coefficientsâThermal convection problems in a spherical shell
2005
Masahisa Tabata
1
+
PDF
Chat
Numerical solution of the Navier-Stokes equations
1968
Alexandre J. Chorin
1
+
PDF
Chat
Convergence of the Discontinuous Galerkin Method for Discontinuous Solutions
2005
Noel J. Walkington
1
+
Optimal error analysis of an unconditionally stable BDF2 finite element approximation for the 3D incompressible MHD equations with variable density
2024
Shiren Li
Li Yuan
1
+
PDF
Chat
The MHD KelvinâHelmholtz Instability. II. The Roles of Weak and Oblique Fields in Planar Flows
1997
T. W. Jones
Joseph B. Gaalaas
Dongsu Ryu
Adam Frank
1
+
On the Divergenceâfree Condition and Conservation Laws in Numerical Simulations for Supersonic Magnetohydrodynamical Flows
1998
Wenlong Dai
Paul R. Woodward
1
+
A stabilized finite element method for the incompressible magnetohydrodynamic equations
2000
Jean-Frédéric Gerbeau
1
+
The two-dimensional magnetohydrodynamic KelvinâHelmholtz instability: Compressibility and large-scale coalescence effects
2003
Hubert Baty
Rony Keppens
Pierre Comte
1
+
PDF
Chat
A Comparison between DivergenceâCleaning and StaggeredâMesh Formulations for Numerical Magnetohydrodynamics
2004
Dinshaw S. Balsara
Jong-Soo Kim
1
+
PDF
Chat
Merging the Bramble-Pasciak-Steinbach and the Crouzeix-Thomée criterion for $H^1$-stability of the $L^2$-projection onto finite element spaces
2001
Carsten Carstensen
1
+
Uniqueness criterion of weak solutions for the dissipative quasi-geostrophic equations in OrliczâMorrey spaces
2013
Sadek Gala
Maria Alessandra Ragusa
Yoshihiro Sawano
Hitoshi Tanaka
1
+
Stability and Convergence of the CrankâNicolson/AdamsâBashforth scheme for the TimeâDependent NavierâStokes Equations
2007
Yinnian He
Weiwei Sun
1
+
PDF
Chat
Robust preconditioners for incompressible MHD models
2016
Yicong Ma
Kaibo Hu
Xiaozhe Hu
Jinchao Xu
1
+
PDF
Chat
On the approximation of the unsteady Navier-Stokes equations by finite element projection methods
1998
JeanâLuc Guermond
L. Quartapelle
1
+
PDF
Chat
On the stability of the $L^2$ projection in $H^1(\Omega)$
2001
James H. Bramble
Joseph E. Pasciak
Olaf Steinbach
1
+
A coupled system arising in magnetohydrodynamics
1999
Jean-Frédéric Gerbeau
Claude Le Bris
1
+
An exactly divergence-free finite element method for a generalized Boussinesq problem
2013
Ricardo OyarzĂșa
Tong Qin
Dominik Schötzau
1
+
On the Cauchy problem for the compressible Hall-magneto-hydrodynamics equations
2016
Zhaoyin Xiang
1