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非协调有限元与本征值下界
Nonconforming Finite Element and Lower Eigenvalue Approximation
【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.
【Abstract】 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 nonconforming finite element as a simpler example to show why the theory works successfully.
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2010年10期
- 【分类号】O175.2
- 【被引频次】1
- 【下载频次】134