| 非协调有限元与本征值下界 |
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| 引用本文： | 杨一都,林群,闭海,李琴. 非协调有限元与本征值下界[J]. 数学的实践与认识, 2010, 40(10) |
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| 作者姓名： | 杨一都 林群 闭海 李琴 |
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| 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.
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| 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 |
Nonconforming Finite Element and Lower Eigenvalue Approximation |
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| YANG Yi-du,LIN Qun,BI Hai,LI Qin. Nonconforming Finite Element and Lower Eigenvalue Approximation[J]. Mathematics in Practice and Theory, 2010, 40(10) |
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| Authors: | YANG Yi-du LIN Qun BI Hai LI Qin |
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| 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. |
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| Keywords: | nonconforming finite elements eigenvalue expansion vertex-edge interpolation singular eigenfunction integral identity |
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