Multiscale and Projective Interpolation Method with High Accuracy for Two Point Boundary Value Problem with Small Periodic Coefficients

Author

Wen, Yi-jun ; Liu, Xiao-Qi

Author_Institution

Sch. of Sci., Central South Univ. of Forestry & Technol., Changsha, China

Volume

1

fYear

2009

fDate

7-8 Nov. 2009

Firstpage

220

Lastpage

224

Abstract

We study two point boundary value problem with small periodic coefficients. It is difficult to obtain the numerical solution of the problem with high accuracy by using finite element method directly. A multiscale finite element method with high accuracy and its error estimate are presented by using homogenization method and multiscale asymptotic expansion and projective interpolation. The rigorous proofs of the results are proposed. Numerical results are presented to illustrate the theoretical results.

Keywords

boundary-value problems; finite element analysis; interpolation; multiscale asymptotic expansion; multiscale interpolation method; projective interpolation method; two point boundary value problem; Additives; Artificial intelligence; Boundary value problems; Computational intelligence; Equations; Finite element methods; Forestry; Interpolation; Mathematics; Physics; asymptotic expansion; high accuracy; homogenization; multiscale; projective interpolation;

fLanguage

English

Publisher

ieee

Conference_Titel

Artificial Intelligence and Computational Intelligence, 2009. AICI '09. International Conference on

Conference_Location

Shanghai

Print_ISBN

978-1-4244-3835-8

Electronic_ISBN

978-0-7695-3816-7

Type

conf

DOI

10.1109/AICI.2009.451

Filename

5376100