張杰華, 韓明華

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長方體有限元的一個(gè)校正弱估計(jì)

張杰華, 韓明華

(凱里學(xué)院 教育科學(xué)學(xué)院, 貴州 凱里, 556000)

次長方體有限元; 三維投影型插值校正; 弱估計(jì)

1 三維投影型插值算子

下面介紹本文需要用到的三維投影型插值算子[3, 16].

由Parseval等式(參見文獻(xiàn)[4]中第1.4節(jié)), 有:

3 弱估計(jì)

有了以上準(zhǔn)備, 下面討論有限元解的校正弱估計(jì).

類似的, 可有:

同理可有:

于是利用簡單校正格式:

證畢.

4 主要結(jié)論

所以, 得出如下主要結(jié)論:

證明 首先, 由投影插值定理[3-4, 11], 有:

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[9] Si Zhiyong, He Yinnian, Wang Kun. A Defect-Correction Method For Unsteady Conduction Convection Problems I: Spatial Discretization[J]. Science China: Mathematics, 2011, 54(1): 185-204.

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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

凱里學(xué)院院級(jí)規(guī)劃課題資助項(xiàng)目(z1019)

張杰華(1981-), 男, 講師, 碩士, 主要從事有限元超收斂理論研究. E-mail: xtsowxf2006@163.com

(責(zé)任編校:劉曉霞)