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Volume 5, Issue 2
Superconvergent Techniques in Multi-Scale Methods

P. Chen, W. Allegretto & Y. Lin

Int. J. Numer. Anal. Mod., 5 (2008), pp. 239-254.

Published online: 2008-05

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  • 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.

  • Keywords

elliptic equations, superconvergent technique, periodic microstructure, multi-scale methods, asymptotic expansion, homogenization.

  • AMS Subject Headings

35R35, 49J40, 60G40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-5-239, author = {}, title = {Superconvergent Techniques in Multi-Scale Methods}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2008}, volume = {5}, number = {2}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/809.html} }
TY - JOUR T1 - Superconvergent Techniques in Multi-Scale Methods JO - International Journal of Numerical Analysis and Modeling VL - 2 SP - 239 EP - 254 PY - 2008 DA - 2008/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/809.html KW - elliptic equations, superconvergent technique, periodic microstructure, multi-scale methods, asymptotic expansion, homogenization. AB -

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.

P. Chen, W. Allegretto & Y. Lin. (1970). Superconvergent Techniques in Multi-Scale Methods. International Journal of Numerical Analysis and Modeling. 5 (2). 239-254. doi:
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