TWO-SCALE FEM FOR ELLIPTIC MIXED BOUNDARY VALUE PROBLEMS WITH SMALL PERIODIC COEFFICIENTS 被引量：13

TWO-SCALE FEM FOR ELLIPTIC MIXED BOUNDARY VALUE PROBLEMS WITH SMALL PERIODIC COEFFICIENTS

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摘要 Presents a study which proposed a dual approximate expression of the exact solution for mixed boundary value problems of second order elliptic partial differential equation with small periodic coefficients. Dual approximate error estimates; Main results. Presents a study which proposed a dual approximate expression of the exact solution for mixed boundary value problems of second order elliptic partial differential equation with small periodic coefficients. Dual approximate error estimates; Main results.

作者 Jin-ru Chen Jun-zhi Cui

机构地区 School of Mathematics and Computer Sciences ICMSEC

出处《Journal of Computational Mathematics》 SCIE EI CSCD 2001年第5期549-560,共12页 计算数学（英文）

基金 the National Natural Science Foundation of China under grants 19901014 and 19932030 and the GAS K.C.Wong Poet-doctoral Resear

关键词 two-scale FEM mixed boundary value small periodic coefficients two-scale FEM mixed boundary value small periodic coefficients

分类号 O241.8 [理学—计算数学]

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参考文献12

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共引文献16

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同被引文献21

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引证文献13

1王自强,宋士仓,曹俊英.小周期复合材料热传导问题的双尺度渐近展开及收敛性分析[J].高校应用数学学报（A辑）,2008,23(2):145-152. 被引量：7
2王自强,张儒良,曹俊英.复合材料热传导问题的一种新的双尺度有限元分析[J].贵州科学,2010,28(2):17-21. 被引量：1
3HE WenMing1,2 & CUI JunZhi3 1Department of Mathematics,Wenzhou University,Wenzhou 325035,China,2School of Aeronautics and Astronautics,Zhejiang University,Hangzhou 310027,China,3LSEC,ICMSEC,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China.Error estimate of the homogenization solution for elliptic problems with small periodic coefficients on L~∞(Ω)[J].Science China Mathematics,2010,53(5):194-215. 被引量：4
4王自强,曹俊英,宋士仓.具有震荡系数的半线性抛物型方程的多尺度渐近展开及其收敛性分析[J].贵州大学学报（自然科学版）,2008,25(2):111-113. 被引量：2
5王自强,尹文双,张恩宾.平面复合材料热传导问题的一个新的多尺度渐近展开式[J].湖北民族学院学报（自然科学版）,2008,26(4):391-394. 被引量：1
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二级引证文献19

1王自强,尹文双,张恩宾.平面复合材料热传导问题的一个新的多尺度渐近展开式[J].湖北民族学院学报（自然科学版）,2008,26(4):391-394. 被引量：1
2杨建宏,欧阳洁.快速振荡系数抛物型方程的小波多尺度数值模拟[J].计算机工程与设计,2009,30(22):5044-5047.
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5孙艳萍,宋士仓.周期复合材料振荡系数双曲问题的Galerkin多尺度有限元方法[J].河南工程学院学报（自然科学版）,2010,22(3):54-60.
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2001年第5期

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