| 强阻尼波动方程的H1-Galerkin混合有限元超收敛分析 |
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| 引用本文： | 石东洋,唐启立,董晓靖.强阻尼波动方程的H1-Galerkin混合有限元超收敛分析[J].计算数学,2012,34(3):317-328. |
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| 作者姓名： | 石东洋 唐启立 董晓靖 |
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| 作者单位： | 郑州大学数学系, 郑州 450001 |
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| 基金项目： | 国家自然科学基金项目，高等学校博士学科点专项科研基金项目(20094101110006)资助课题 |
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| 摘 要： | 研究了强阻尼波动方程的H1-Galerkin混合有限元方法的超收敛性. 借助于协调线性三角形元已有的分析估计式, 直接利用插值算子代替原始变量 u 的 Ritz 投影和应力变量 p 的 Ritz-Volterra 投影,对半离散和全离散格式, 得到了u在 H1(Ω) 模和 p 在 H(div;Ω) 模意义下比以往文献高一阶的超逼近和超收敛结果.
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| 关 键 词： | 强阻尼波动方程 H1-Galerkin 混合有限元方法 超逼近 超收敛 |
| 收稿时间： | 2012-03-14; |
SUPERCONVERGENCE ANALYSIS OF H1-GALERKIN MIXED FINITE ELEMENT METHOD FOR STRONGLY DAMPED WAVE EQUATIONS |
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| Shi Dongyang
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Tang Qili
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Dong Xiaojing.SUPERCONVERGENCE ANALYSIS OF H1-GALERKIN MIXED FINITE ELEMENT METHOD FOR STRONGLY DAMPED WAVE EQUATIONS[J].Mathematica Numerica Sinica,2012,34(3):317-328. |
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| Authors: | Shi Dongyang Tang Qili Dong Xiaojing |
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| Institution: | Department of Mathematics, Zhengzhou University, Zhengzhou 450001, China |
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| Abstract: | In this paper, the superconvergence analysis of H1-Galerkin mixed finite element method for strongly damped wave equations is studied. By virtue of the technique of interpolation operator instead of Ritz projection of the original variable u and Ritz-Volterra projection of the stress variable p, the superclose and superconvergence results in H1(Ω) norm for u and H(div;Ω) norm for p for both semidiscrete and fully discrete schemes are derived through applying some error estimates of conforming linear triangular finite element. |
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| Keywords: | Strongly damped wave equations H1-Galerkin mixed finite element method" target="_blank">H1-Galerkin mixed finite element method')" href="#">H1-Galerkin mixed finite element method Superclose Superconvergence |
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