| 一个各向异性插值定理及其在二阶问题混合元中的应用 |
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| 引用本文： | 宋士仓,陈绍春. 一个各向异性插值定理及其在二阶问题混合元中的应用[J]. 高等学校计算数学学报, 2004, 26(3): 230-240 |
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| 作者姓名： | 宋士仓 陈绍春 |
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| 作者单位： | 郑州大学数学系,郑州,450052;郑州大学数学系,郑州,450052 |
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| 基金项目： | 国家自然科学基金资助项目(10171092)，河南省自然科学基金项目. |
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| 摘 要： | At first this paper presents an interpolate theorem with anisotropic property, which can be applied to estimate the interpolate error based on different directions. Then a discrete mixed form for the second order elliptic problem is constructed.The gradient vector is approximated by non-full piesewise double quadratic polynomials, the function u by piecewise constants only. The advantage is that this scheme is still convergent without regularity assumption of subdivision to domain Ω.
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| 关 键 词： | 二阶 定理 插值 各向异性 |
AN ANISOTROPIC INTERPOLATE THEOREM AND ITS APPLICATIONS TO THE MIXED FORM OF SECOND ORDER ELLIPTIC PROBLEM |
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| Song Shicang Chen Shaochun. AN ANISOTROPIC INTERPOLATE THEOREM AND ITS APPLICATIONS TO THE MIXED FORM OF SECOND ORDER ELLIPTIC PROBLEM[J]. Numerical Mathematics A Journal of Chinese Universities, 2004, 26(3): 230-240 |
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| Authors: | Song Shicang Chen Shaochun |
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| Abstract: | |
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| Keywords: | anisotropic property interpolate approximation second order ellip-tic problem mixed element. |
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