各向异性有限元的证明及应用 |
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引用本文: | 王云鹏.各向异性有限元的证明及应用[J].新乡学院学报(自然科学版),2009,26(6):5-6. |
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作者姓名: | 王云鹏 |
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作者单位: | 新乡学院,数学系,河南,新乡,453003 |
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摘 要: | 证明了在各向异性网格下,双线性元插值的各向异性特征,分析了二阶双曲方程的双线性元解的收敛性,得出了超逼近结果。
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关 键 词: | 各向异性 二阶双曲方程 超逼近 |
The Proof and Application of Anisotropic Finite Element |
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Authors: | WANG Yun-peng |
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Institution: | WANG Yun-peng (Department of Mathematics, Xinxiang University, Xinxiang 453003, China) |
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Abstract: | The interpolation's anisotropy of bilinear finite element is proved on anisotropic rectangular meshes. The solution of a second-order hyperbolic equation is analyzed and superconvergence property is derived. |
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Keywords: | anisotropy second-order hyperbolic equation superclose |
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