| 一维有限元分层快速高精度算法 |
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| 引用本文： | 曹礼群. 一维有限元分层快速高精度算法[J]. 湘潭大学自然科学学报, 1993, 15(2): 1-7 |
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| 作者姓名： | 曹礼群 |
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| 作者单位： | 湘潭大学数学系 |
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| 摘 要： | 本文利用一维有限元空间的正交分解理论,提出并分析了所谓分层快速高精度算法.采用这一方法,无需求解有限元离散方程,只需分层地解子系统,结点上超收敛估计可分层得到,数例表明该方法的有效性。
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| 关 键 词： | 有限元 分层 快速 高精度算法 |
THE HIERARCHICAL FAST FINITE ELEMENT METHOD WITH HIGH ACCURACY IN ONE DIMENSION |
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| Cao Liqun. THE HIERARCHICAL FAST FINITE ELEMENT METHOD WITH HIGH ACCURACY IN ONE DIMENSION[J]. Natural Science Journal of Xiangtan University, 1993, 15(2): 1-7 |
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| Authors: | Cao Liqun |
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| Affiliation: | Department of Mathematics |
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| Abstract: | Using orthogonal splitting theory of finite element space,weprovide the hierarchical fast finite element method with high accuracy inone dimension.Only we need to solve the subsystems hierarchically, nee-dless to solve the algebraic system of equations,which arise from the dis-cretization of two-point boundary value problems via finite element met-hods.Numerical example is presented which illustrate the theoreticallypredicted the results. |
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| Keywords: | FEM hierarchical fast high accuracy |
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