| 论非常规有限元与其常规对偶有限元的谱等价性 |
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| 引用本文： | 黄建国,沐建飞. 论非常规有限元与其常规对偶有限元的谱等价性[J]. 应用数学和力学, 2000, 21(8): 823-828 |
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| 作者姓名： | 黄建国 沐建飞 |
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| 作者单位： | 上海交通大学应用数学系, 上海 200240 |
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| 基金项目： | 国家自然科学基金资助项目!(1990 10 18) |
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| 摘 要： | 以一个广义协调元为例证明了非常规有限元与其常规对偶有限元刚度矩阵的谱等价性。该结果对非常规有限元的区域分解并行算法研究有重要作用。
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| 关 键 词： | 非常规有限元 广义协调元 谱等价 |
| 收稿时间： | 1999-04-28 |
| 修稿时间： | 1999-04-28 |
On the Spectral Equivalence of Unconventional Finite Elements and Their Conventional Relatives |
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| HUANG Jian-guo,MU Jian-fei. On the Spectral Equivalence of Unconventional Finite Elements and Their Conventional Relatives[J]. Applied Mathematics and Mechanics, 2000, 21(8): 823-828 |
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| Authors: | HUANG Jian-guo MU Jian-fei |
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| Affiliation: | Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200240, P R China |
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| Abstract: | With a generalized conforming element as a typical example, the spectral equivalence of unconventional finite elements and their conventional relatives is proved. This result is very important for the construction of domain decomposition parallel algorithms for unconventional finite elements. |
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| Keywords: | unconventional finite element generalized conforming element spectral equivalence |
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