full
search.png

Search

close.png

Cancel

arrow
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

Preview Purchase PDF 1774 22441

Cited by

google scholar semantic scholar
Export citation
  • 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

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{IJNAM-5-239, author = {P. Chen, W. Allegretto and Y. Lin}, 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 AU - P. Chen, W. Allegretto & Y. Lin 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 and Y. Lin. (2008). Superconvergent Techniques in Multi-Scale Methods. International Journal of Numerical Analysis and Modeling. 5 (2). 239-254. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard