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Lu*, Zuliang. (1391). A new positive definite semi-discrete mixed finite element solution for parabolic equations. فناوری آموزش, 2(1), 25-30. doi: 10.22061/jcarme.2012.40
Zuliang Lu*. "A new positive definite semi-discrete mixed finite element solution for parabolic equations". فناوری آموزش, 2, 1, 1391, 25-30. doi: 10.22061/jcarme.2012.40
Lu*, Zuliang. (1391). 'A new positive definite semi-discrete mixed finite element solution for parabolic equations', فناوری آموزش, 2(1), pp. 25-30. doi: 10.22061/jcarme.2012.40
Lu*, Zuliang. A new positive definite semi-discrete mixed finite element solution for parabolic equations. فناوری آموزش, 1391; 2(1): 25-30. doi: 10.22061/jcarme.2012.40

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

Journal of Computational & Applied Research in Mechanical Engineering (JCARME)
مقاله 3، دوره 2، شماره 1، شهریور 2012، صفحه 25-30    اصل مقاله (148.62 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22061/jcarme.2012.40
نویسنده
Zuliang Lu*1، 2
1School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing 404000, P.R.China
2College of Civil Engineering and Mechanics, Xiangtan University, Xiangtan 411105, P.R.China.
تاریخ دریافت: 15 فروردین 1391،  تاریخ بازنگری: 31 خرداد 1391،  تاریخ پذیرش: 06 تیر 1391 
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
مراجع
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