非协调有限元与本征值下界  

Nonconforming Finite Element and Lower Eigenvalue Approximation

作　　者：杨一都[1] 林群[2] 闭海[1] 李琴[1] 

机构地区：[1]贵州师范大学数学与计算机科学学院,贵州贵阳550001 [2]中国科学院数学与系统科学研究院,北京100190

出　　处：《数学的实践与认识》2010年第10期250-254,共5页Mathematics in Practice and Theory

摘　　要：与协调有限元相比,非协调有限元常常给出本征值下界.这种现象已经由很多数值例子观察到.但是理论上的证明最近才做的更多.以Morley非协调元作为更简单的范例,来说明这种理论为何成功.Compared with the conforming finite elements, the nonconforming finite elements often give lower eigenvalues. Such phenomena have already been observed by many numerical examples. However, theoretical proofs have just been done more and more recently. This paper takes the morley nc^nconforming finite element as a simpler example to show why the theory works successfully.

关 键 词：非协调有限元 本征值展开式 点-边插值 奇异本征函数 积分恒等式 

分 类 号：O175.2[理学—数学]