混合有限元离散解的代数分析
发布时间：2018-09-09 13:49
【摘要】：本文运用代数理论,给出了离散混合变分问题存在唯一解的新的证明方法。罗振东用代数方法证明了混合有限元解的存在唯一性,但其条件过强,证明方法不够完整。本篇论文改进了其证明方法,使其代数结构更加完整和清晰。
[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.
【学位授予单位】：郑州大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：O241.82
本文编号：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.
【学位授予单位】：郑州大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：O241.82
【参考文献】
相关期刊论文 前1条
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
，本文编号：2232566
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