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A new positive definite semi-discrete mixed finite element solution for parabolic equations
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نویسنده
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Lu Zuliang
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منبع
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journal of computational and applied research in mechanical engineering - 2012 - دوره : 2 - شماره : 1 - صفحه:23 -28
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چکیده
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Abstractin 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.
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کلیدواژه
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Parabolic equations ,Positive definite systems ,Semi-discrete mixed finite element methods ,Error estimates
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آدرس
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School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing 404000, P.R.China., چین
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پست الکترونیکی
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zulianglux@126.com
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Authors
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