Mixed Finite Element approximation of an MHD problem involving conducting and insulating regions: the 2D case
ESAIM: M2AN, 36 3 (2002) 517-536
Published online: 2002-08-15
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
The modified characteristics FEMs for the incompressible vector potential MagnetoHydroDynamics system
Zhiyong Si, Puxuan Xu, Yunxia Wang and Hongwei WangCommunications in Nonlinear Science and Numerical Simulation 152 109150 (2026)
https://doi.org/10.1016/j.cnsns.2025.109150
A gauge-Uzawa finite element method for the incompressible vector potential magnetohydrodynamics system
Zhiyong Si, Shengguang Chen and Yunxia WangCommunications in Nonlinear Science and Numerical Simulation 152 109199 (2026)
https://doi.org/10.1016/j.cnsns.2025.109199
Error estimates of semi-implicit numerical scheme for a diffuse interface model of two-phase magnetohydrodynamic flows
Dongmei Duan, Fuzheng Gao, Jinjin Yang and Xiaoming HeJournal of Computational and Applied Mathematics 465 116580 (2025)
https://doi.org/10.1016/j.cam.2025.116580
Modeling of fluid‐rigid body interaction in an electrically conducting fluid
Jan Scherz and Anja SchlömerkemperGAMM-Mitteilungen 47 (3) (2024)
https://doi.org/10.1002/gamm.202470012
Existence results for a class of two-fold saddle point parabolic differential equations
Ramiro Acevedo, Wilson Anacona and Christian GómezLithuanian Mathematical Journal 63 (4) 417 (2023)
https://doi.org/10.1007/s10986-023-09616-w
Fluid-Rigid Body Interaction in an Incompressible Electrically Conducting Fluid
Barbora Benešová, Šárka Nečasová, Jan Scherz and Anja SchlömerkemperSIAM Journal on Mathematical Analysis 55 (2) 929 (2023)
https://doi.org/10.1137/22M148255X
Fluid–rigid body interaction in a compressible electrically conducting fluid
Jan ScherzMathematische Nachrichten 296 (12) 5513 (2023)
https://doi.org/10.1002/mana.202200345
A rotational velocity-correction projection method for unsteady incompressible magnetohydrodynamics equations
Jixiang Guan, Shujie Jing and Zhiyong SiComputers & Mathematics with Applications 80 (5) 809 (2020)
https://doi.org/10.1016/j.camwa.2020.04.017
A modified characteristics projection finite element method for unsteady incompressible Magnetohydrodynamics equations
Shujie Jing, Jixiang Guan and Zhiyong SiAIMS Mathematics 5 (4) 3922 (2020)
https://doi.org/10.3934/math.2020254
Unconditional stability and error estimates of the modified characteristics FEMs for the time-dependent incompressible MHD equations
Yang Yang and Zhiyong SiComputers & Mathematics with Applications 77 (1) 263 (2019)
https://doi.org/10.1016/j.camwa.2018.09.031
hp-Finite element solution of coupled stationary magnetohydrodynamics problems including magnetostrictive effects
D. Jin, P.D. Ledger and A.J. GilComputers & Structures 164 161 (2016)
https://doi.org/10.1016/j.compstruc.2015.11.008
Low‐Order Nonconforming Mixed Finite Element Methods for Stationary Incompressible Magnetohydrodynamics Equations
Dongyang Shi, Zhiyun Yu and Livija CveticaninJournal of Applied Mathematics 2012 (1) (2012)
https://doi.org/10.1155/2012/825609
A New Class of Stabilized WEB-Spline-Based Mesh-Free Finite Elements for the Approximation of Maxwell Equations
Sudhakar Chaudhary and V. V. K. Srinivas KumarNumerical Functional Analysis and Optimization 33 (3) 264 (2012)
https://doi.org/10.1080/01630563.2011.650306
An interior penalty Galerkin method for the MHD equations in heterogeneous domains
J.-L. Guermond, R. Laguerre, J. Léorat and C. NoreJournal of Computational Physics 221 (1) 349 (2007)
https://doi.org/10.1016/j.jcp.2006.06.045
Mixed finite element approximation of incompressible MHD problems based on weighted regularization
Urs Hasler, Anna Schneebeli and Dominik SchötzauApplied Numerical Mathematics 51 (1) 19 (2004)
https://doi.org/10.1016/j.apnum.2004.02.005
Mixed finite elements for incompressible magneto-hydrodynamics
Anna Schneebeli and Dominik SchötzauComptes Rendus. Mathématique 337 (1) 71 (2003)
https://doi.org/10.1016/S1631-073X(03)00256-5
Mixed finite element approximation of an MHD problem involving conducting and insulating regions: The 3D case
J. L. Guermond and P. D. MinevNumerical Methods for Partial Differential Equations 19 (6) 709 (2003)
https://doi.org/10.1002/num.10067
A new Finite Element Method for magneto-dynamical problems: two-dimensional results
J.L. Guermond, J. Léorat and C. NoreEuropean Journal of Mechanics - B/Fluids 22 (6) 555 (2003)
https://doi.org/10.1016/S0997-7546(03)00054-2
(2003)
https://doi.org/10.2514/6.2003-6921
Mixed Finite Element approximation of an MHD problem involving conducting and insulating regions: the 2D case
Jean Luc Guermond and Peter D. MinevESAIM: Mathematical Modelling and Numerical Analysis 36 (3) 517 (2002)
https://doi.org/10.1051/m2an:2002024