Document Type : Research Paper
School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing 404000, P.R.China
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.
- Parabolic equations
- Positive definite systems
- Semi-discrete mixed finite element methods
- Error estimates
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