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

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

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Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(3): 359-368

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.

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

1.
School of Science, Beijing Jiaotong University, Beijing 100044, P. R. China;

Received Date: 2005-03-01
Rev Recd Date: 2007-01-16
Publish Date: 2007-03-15

Abstract

Abstract

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.
- equation of magnetohydrodynamics,
- mixed element method,
- Galerkin-Petrov-least squares method,
- error estimate

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References(15)

References

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