混合有限元離散解的代數(shù)分析
發(fā)布時間:2018-09-09 13:49
【摘要】:本文運用代數(shù)理論,給出了離散混合變分問題存在唯一解的新的證明方法。羅振東用代數(shù)方法證明了混合有限元解的存在唯一性,但其條件過強,證明方法不夠完整。本篇論文改進(jìn)了其證明方法,使其代數(shù)結(jié)構(gòu)更加完整和清晰。
[Abstract]:In this paper, a new proof method for the existence of unique solution of discrete mixed variational problems is given by using algebraic theory. Luo Zhendong proved the existence and uniqueness of mixed finite element solution by algebraic method, but its condition is too strong and the proof method is not complete. This paper improves its proof method to make its algebraic structure more complete and clear.
【學(xué)位授予單位】:鄭州大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2015
【分類號】:O241.82
本文編號:2232566
[Abstract]:In this paper, a new proof method for the existence of unique solution of discrete mixed variational problems is given by using algebraic theory. Luo Zhendong proved the existence and uniqueness of mixed finite element solution by algebraic method, but its condition is too strong and the proof method is not complete. This paper improves its proof method to make its algebraic structure more complete and clear.
【學(xué)位授予單位】:鄭州大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2015
【分類號】:O241.82
【參考文獻(xiàn)】
相關(guān)期刊論文 前1條
1 Yan-min Zhao;Fen-ling Wang;Dong-yang Shi;;EQ~(rot)_1 Nonconforming Finite Element Method for Nonlinear Dual Phase Lagging Heat Conduction Equations[J];Acta Mathematicae Applicatae Sinica(English Series);2013年01期
,本文編號:2232566
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