Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (12): 1697-1707 .doi: https://doi.org/10.1007/s10483-006-1212-1

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NONLINEAR GALERKIN MIXED ELEMENT METHODS FOR STATIONARY INCOMPRESSIBLE MAGNETOHYDRODYNAMICS

LUO Zhen-dong, MAO Yun-kui, ZHU Jiang   

    1. School of Science, Beijing Jiaotong University, Beijing 100044, P. R. China;
    2. Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, P. R. China
  • Received:2005-03-01 Revised:2006-07-26 Online:2006-12-18 Published:2006-12-18
  • Contact: LUO Zhen-dong

Abstract: A nonlinear Galerkin mixed element (NGME) method for the stationary incompressible magnetohydrodynamics equations is presented. And the existence and error estimates of the NGME solution are derived.

Key words: equation of magnetohydrodynamics, nonlinear Galerkin mixed element method, error estimation

2010 MSC Number: 

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