Journal of Computational & Applied Research in Mechanical Engineering (JCARME)

Document Type : Research Paper

Author

Zuliang Lu* ¹^{, 2}

¹ School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing 404000, P.R.China

² College of Civil Engineering and Mechanics, Xiangtan University, Xiangtan 411105, P.R.China.

https://doi.org/10.22061/jcarme.2012.40

Abstract

In this paper, a positive definite semi-discrete mixed finite element method was presented for two-dimensional parabolic equations. In the new positive definite systems, the gradient equation and flux equations were separated from their scalar unknown equations. Also, the existence and uniqueness of the semi-discrete mixed finite element solutions were proven. Error estimates were also obtained for the semi-discrete schemes.Finally, a numerical example was presented to show theoretical results.

Graphical Abstract

Keywords

dor

20.1001.1.22287922.2012.2.1.3.2

Main Subjects

Finite Elements Method (FEM)

References

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