LUO Zhen-dong, MAO Yun-kui, ZHU Jiang. Petrov-Galerkin Least Squares Mixed Element Method for the Stationary Incompressible Magnetohydrodynamics[J]. Applied Mathematics and Mechanics, 2007, 28(3): 359-368.
Citation: LUO Zhen-dong, MAO Yun-kui, ZHU Jiang. Petrov-Galerkin Least Squares Mixed Element Method for the Stationary Incompressible Magnetohydrodynamics[J]. Applied Mathematics and Mechanics, 2007, 28(3): 359-368.

Petrov-Galerkin Least Squares Mixed Element Method for the Stationary Incompressible Magnetohydrodynamics

  • Received Date: 2005-03-01
  • Rev Recd Date: 2007-01-16
  • Publish Date: 2007-03-15
  • A Galerkin-Petrov least squares mixed finite element method for the stationary magnetohy-drodynamics problems was introduced and the existence and error estimates of the Galerkin-Petrov least squares mixed finite element solution were derived.The combination among mixed finite element spaces of this method dose not demand the discrete Babuska-Brezzi stability conditions so that the mixed finite element spaces could be arbitrarily chosen and the error estimates with optimal order could be obtained.
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