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MultiScale Asymptotic Analysis Method with High Accuracy for the Second Order Elliptic Equation with Oscillating Periodic Coefficients in Perforated Domain

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成果类型:
期刊论文、会议论文
作者:
Liu, Xiao-qi*;Zhu, Qi-Ding
通讯作者:
Liu, Xiao-qi
作者机构:
[Liu, Xiao-qi] Cent South Univ Forestry & Technol, Inst Math & Phys, Changsha 410004, Hunan, Peoples R China.
[Zhu, Qi-Ding] Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Peoples R China.
通讯机构:
[Liu, Xiao-qi] C
Cent South Univ Forestry & Technol, Inst Math & Phys, Changsha 410004, Hunan, Peoples R China.
语种:
英文
关键词:
multiscale;asymptotic expansion;homogenization;high accuracy;perforated domain;projective interpolation
期刊:
2009 INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND COMPUTATIONAL INTELLIGENCE, VOL I, PROCEEDINGS
年:
2009
卷:
1
页码:
225-230
会议名称:
International Conference on Artificial Intelligence and Computational Intelligence
会议时间:
NOV 07-08, 2009
会议地点:
Shanghai, PEOPLES R CHINA
会议主办单位:
[Liu, Xiao-qi] Cent South Univ Forestry & Technol, Inst Math & Phys, Changsha 410004, Hunan, Peoples R China.^[Zhu, Qi-Ding] Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Peoples R China.
会议赞助商:
Shanghai Univ Elect Power, IEEE, Springer, APNNA, NSFC
出版地:
10662 LOS VAQUEROS CIRCLE, PO BOX 3014, LOS ALAMITOS, CA 90720-1264 USA
出版者:
IEEE COMPUTER SOC
ISBN:
978-0-7695-3816-7
基金类别:
National Nature Science of China [10671065]; Science Foundation of Central South University of Forestry and Technology [06Y048]
机构署名:
本校为第一且通讯机构
院系归属:
理学院
摘要:
We consider the Neumman boundary value problem of second order elliptic equation with oscillating periodic coefficients in perforated domains. It is very difficult to solve the problem by using numerical methods directly, such as finite element method and finite difference method, due to the huge computing scaling. Using homogenization method, two-scale asymptotic expansion and projective interpolation, a high accuracy algorithm and its error estimate are reported. The rigorous proofs of the results are proposed. ...

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