长方体有限元的一个校正弱估计

张杰华, 韩明华



长方体有限元的一个校正弱估计

张杰华, 韩明华

(凯里学院 教育科学学院, 贵州 凯里, 556000)

次长方体有限元; 三维投影型插值校正; 弱估计

1 三维投影型插值算子

下面介绍本文需要用到的三维投影型插值算子[3, 16].

由Parseval等式(参见文献[4]中第1.4节), 有:

3 弱估计

有了以上准备, 下面讨论有限元解的校正弱估计.

类似的, 可有:

同理可有:

于是利用简单校正格式:

证毕.

4 主要结论

所以, 得出如下主要结论:

证明 首先, 由投影插值定理[3-4, 11], 有:

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A weak correction estimate of block finite element

ZHANG Jie-hua, HAN Ming-hua

(Institute of Educational Science, Kaili University, Kaili 556000, China)

block finite element of degree; three dimensions projection interpolation correction; weak estimate

O 242.21

1672-6146(2012)01-0014-05

10.3969/j.issn.1672-6146.2012.01.005

2011-12-09

凯里学院院级规划课题资助项目(z1019)

张杰华(1981-), 男, 讲师, 硕士, 主要从事有限元超收敛理论研究. E-mail: xtsowxf2006@163.com

(责任编校:刘晓霞)