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证明偶次Argyris型元适定性的新方法
引用本文:郝晓斌,石东伟,石东洋. 证明偶次Argyris型元适定性的新方法[J]. 河南科学, 2011, 29(5): 505-507
作者姓名:郝晓斌  石东伟  石东洋
作者单位:1. 河南工程学院数理科学系,郑州,451191
2. 河南科技学院数学系,河南,新乡,453003
3. 郑州大学数学系,郑州,450052
基金项目:国家自然科学基金资助项目,河南工程学院博士基金项目
摘    要:由于偶次(6次)的Argyris元自由度较多,导致其适定性的验证比较繁琐.通过建立新的坐标系,给出了一个验证其插值适定性的简单方法,并可推广到更高次的情况.

关 键 词:Argyris元  偶次  适定性

A New Method for Proving the Well-Posedness of Even Order Argyris Type Triangular Elements
Hao Xiaobin,Shi Dongwei,Shi Donngyan. A New Method for Proving the Well-Posedness of Even Order Argyris Type Triangular Elements[J]. Henan Science, 2011, 29(5): 505-507
Authors:Hao Xiaobin  Shi Dongwei  Shi Donngyan
Affiliation:1.Department of Mathematical and Physical Sciences,Henan Engineering Institute,Zhengzhou 451191,China; 2.Department of Mathematics,Henan Institute of Science and Technology,Xinxiang 453003,Henan China; 3.Department of Mathematics,Zhengzhou University,Zhengzhou 450052,China)
Abstract:For even order Argyris type triangular element(order six),the verification of well-posedness is a complex question,because this element has more freedom degrees.By establishing the new coordinate system,a simple method is developed to prove the well-posedness of the interpolations and this method can be generalized to the higher order Argyris elements.
Keywords:Argyris element  even order  well-posedness
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