Error Analysis of Euler Semi-implicit Scheme for the Nonstationary Magneto-hydrodynamics Problem with Temperature Dependent Parameters
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[1] P. Davidson. An Introduction to Magnetohydrodynamics , 2001 .
[2] Leo G. Rebholz,et al. Decoupled, Unconditionally Stable, Higher Order Discretizations for MHD Flow Simulation , 2017, J. Sci. Comput..
[3] Yinnian He. Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations , 2015 .
[4] A. Meir,et al. Analysis and Numerical Approximation of a Stationary MHD Flow Problem with Nonideal Boundary , 1999 .
[5] O. Isik,et al. Numerical analysis of Backward-Euler discretization for simplified magnetohydrodynamic flows , 2015 .
[6] Masahisa Tabata,et al. MHF Preprint Series Kyushu University 21 st Century COE Program Development of Dynamic Mathematics with High Functionality Error estimates of finite element methods for nonstationary thermal convection problems with temperature-dependent coefficients , 2004 .
[7] Edward A. Spiegel,et al. Rayleigh‐Bénard Convection: Structures and Dynamics , 1998 .
[8] Vivette Girault,et al. Finite Element Methods for Navier-Stokes Equations - Theory and Algorithms , 1986, Springer Series in Computational Mathematics.
[9] José Luiz Boldrini,et al. Stationary solutions for generalized boussinesq models , 1995 .
[10] Dehua Wang,et al. Large Solutions to the Initial-Boundary Value Problem for Planar Magnetohydrodynamics , 2003, SIAM J. Appl. Math..
[11] Sang Dong Kim,et al. Newton's algorithm for magnetohydrodynamic equations with the initial guess from Stokes-like problem , 2017, J. Comput. Appl. Math..
[12] S. Ravindran. Partitioned time-stepping scheme for an MHD system with temperature-dependent coefficients , 2018, IMA Journal of Numerical Analysis.
[13] Timothy A. Davis,et al. Algorithm 832: UMFPACK V4.3---an unsymmetric-pattern multifrontal method , 2004, TOMS.
[14] Matthias Wiedmer,et al. Finite element approximation for equations of magnetohydrodynamics , 2000, Math. Comput..
[15] Jean-Frédéric Gerbeau,et al. A stabilized finite element method for the incompressible magnetohydrodynamic equations , 2000, Numerische Mathematik.
[16] M. Gunzburger,et al. On the existence, uniqueness, and finite element approximation of solutions of the equations of stationary, incompressible magnetohydrodynamics , 1991 .
[17] Florentina Tone,et al. On the Long-Time H2-Stability of the Implicit Euler Scheme for the 2D Magnetohydrodynamics Equations , 2009, J. Sci. Comput..
[18] A. Bermúdez,et al. Analysis of two stationary magnetohydrodynamics systems of equations including Joule heating , 2010 .
[19] R. Salvi. Navier-Stokes Equations: Theory and Numerical Methods , 2018 .
[20] A plane problem of incompressible magnetohydrodynamics with viscosity and resistivity depending on the temperature , 2004 .
[21] A. Prohl. Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system , 2008 .
[22] Dominik Schötzau,et al. An exactly divergence-free finite element method for a generalized Boussinesq problem , 2014 .
[23] Frédéric Hecht,et al. New development in freefem++ , 2012, J. Num. Math..
[24] A. Meir. Thermally coupled, stationary, incompressible MHD flow; existence, uniqueness, and finite element approximation , 1995 .
[25] D. Schötzau,et al. A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics , 2010 .
[26] Eric Ronald Priest,et al. Advances in solar system magnetohydrodynamics , 1991 .
[27] A Dual Mixed Formulation for Non-isothermal Oldroyd-Stokes Problem , 2011 .