A new positive definite semi-discrete mixed finite element solution for parabolic equations

نویسندگان
Lu*, Zuliang ID 1

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

doi
10.22061/jcarme.2012.40
چکیده

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.

کلیدواژه‌ها
Parabolic equations, Positive definite systems, Semi-discrete mixed finite element methods, Error estimates