| 二阶椭圆问题新的混合元格式 |
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| 引用本文： | 陈绍春,陈红如.二阶椭圆问题新的混合元格式[J].计算数学,2010,32(2):213-218. |
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| 作者姓名： | 陈绍春 陈红如 |
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| 作者单位： | 郑州大学数学系,郑州,450001 |
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| 摘 要： | 本文基于二阶椭圆问题一种新的混合变分形式,给出同时满足强椭圆性和B-B条件的任意次的求解格式.理论分析表明这些单元论证简单而且用了较少的自由度达到最优误差估计.同时我们还给出了它们在各向异性网格下的误差估计.
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| 关 键 词： | 二阶椭圆问题 新的混合变分格式 各向异性误差估计 |
| 收稿时间： | 2009-09-20 |
NEW MIXED ELEMENT SCHEMES FOR SECOND ORDER ELLIPTIC PROBLEM |
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| Chen Shaochun,Chen Hongru.NEW MIXED ELEMENT SCHEMES FOR SECOND ORDER ELLIPTIC PROBLEM[J].Mathematica Numerica Sinica,2010,32(2):213-218. |
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| Authors: | Chen Shaochun Chen Hongru |
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| Institution: | Department of Mathematics, Zhengzhou University, Zhengzhou 450001, China |
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| Abstract: | In this paper, based on a new mixed variational form for second order elliptic problem, we present some new solving schemes of any order which satisfy strongly elliptic condition and B-B condition. Theory analysis show that these schemes are simple and convenient. Moreover, we obtain optimal error estimates on the anisotropic meshes.
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| Keywords: | Second elliptic problem New mixed variational form Anisotropic error estimate |
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