Morley元误差估计的进一步结果

FURTHER RESULT OF ERROR ESTIMATES FOR MORLEY′S ELEMENT

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摘要Ｍｏｒｌｅｙ元经典误差估计需要真解ｕ∈Ｈ４，这一要求偏高．在ｕ∈Ｈ３和ｆ∈Ｌ２的条件下，石钟慈给出能量模误差估计为Ｏ（ｈ（｜ｕ｜３＋ｈ｜ｆ｜０）），但ｕ∈Ｈ３的匹配情况是ｆ∈Ｈ－１，本文考虑这种情况，给出了Ｍｏｒｌｅｙ元新的能量模误差估计式． Suppose the analytic solution of plate bending problem u∈H 3(Ω)∩H 2 0(Ω) and the load term f∈H -1 (Ω) ,the error estimates in energy norm for Morley′s element is given,which has not been reported before.

作者陈绍春李清善

机构地区郑州大学系统科学与数学系

出处《郑州大学学报（自然科学版）》 CAS 1998年第3期1-4,共4页 Journal of Zhengzhou University (Natural Science)

基金国家自然科学基金河南省自然科学基金

关键词 Morley元能量模误差估计有限元非协调板元 Morley′s element energy norm error estimates

分类号 O242.21 [理学—计算数学] TB115 [理学—应用数学]

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参考文献5

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共引文献44

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郑州大学学报（自然科学版）

1998年第3期

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Morley元误差估计的进一步结果

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