Year: 2008
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 2 : pp. 239–254
Abstract
It is well known that many problems of practical importance in science and engineering have multiple-scale solutions. Moreover, the calculations of numerical methods for these problems is very intensive, even if using some multi-scale procedures. It is therefore important to seek efficient calculation methods. In this paper, superconvergent techniques are used in existing multiscale methods to improve the calculation efficiency. Furthermore, based on comprehensive analysis, the order of the error estimates between the numerical approximation and the exact solution is verified to be improved.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2008-IJNAM-809
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 2 : pp. 239–254
Published online: 2008-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: elliptic equations superconvergent technique periodic microstructure multi-scale methods asymptotic expansion homogenization.