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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، اسفند 2012، صفحه 25-30 اصل مقاله (148.62 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22061/jcarme.2012.40 | ||
| نویسنده | ||
| Zuliang Lu* | ||
| School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing 404000, 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 | ||
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