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Volume 4, Issue 1
Multiscale Analysis and Computation for Parabolic Equations with Rapidly Oscillating Coefficients in

LIQUN CAO, FANGMAN ZHAI, AND YAU SHU WONG

Int. J. Numer. Anal. Mod. B, 4 (2013), pp. 50-79

Published online: 2013-04

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  • Abstract
This paper presents the multiscale analysis and computation for parabolic equations with rapidly oscillating coefficients in general domains. The major contributions of this study are twofold. First, we define the boundary layer solution and the convergence rate with ε^{1/2} for the multiscale asymptotic solutions in general domains. Secondly, a highly accurate computational algorithm is developed. Numerical simulations are then carried out to validate the theoretical results.
  • Keywords

Parabolic equation with rapidly oscillating coefficients homogenization multiscale analysis finite element method

  • AMS Subject Headings

65F10 65W05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAMB-4-50, author = {LIQUN CAO, FANGMAN ZHAI, AND YAU SHU WONG}, title = {Multiscale Analysis and Computation for Parabolic Equations with Rapidly Oscillating Coefficients in}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2013}, volume = {4}, number = {1}, pages = {50--79}, abstract = {This paper presents the multiscale analysis and computation for parabolic equations with rapidly oscillating coefficients in general domains. The major contributions of this study are twofold. First, we define the boundary layer solution and the convergence rate with ε^{1/2} for the multiscale asymptotic solutions in general domains. Secondly, a highly accurate computational algorithm is developed. Numerical simulations are then carried out to validate the theoretical results.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/246.html} }
TY - JOUR T1 - Multiscale Analysis and Computation for Parabolic Equations with Rapidly Oscillating Coefficients in AU - LIQUN CAO, FANGMAN ZHAI, AND YAU SHU WONG JO - International Journal of Numerical Analysis Modeling Series B VL - 1 SP - 50 EP - 79 PY - 2013 DA - 2013/04 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnamb/246.html KW - Parabolic equation with rapidly oscillating coefficients KW - homogenization KW - multiscale analysis KW - finite element method AB - This paper presents the multiscale analysis and computation for parabolic equations with rapidly oscillating coefficients in general domains. The major contributions of this study are twofold. First, we define the boundary layer solution and the convergence rate with ε^{1/2} for the multiscale asymptotic solutions in general domains. Secondly, a highly accurate computational algorithm is developed. Numerical simulations are then carried out to validate the theoretical results.
LIQUN CAO, FANGMAN ZHAI, AND YAU SHU WONG. (2013). Multiscale Analysis and Computation for Parabolic Equations with Rapidly Oscillating Coefficients in. International Journal of Numerical Analysis Modeling Series B. 4 (1). 50-79. doi:
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