Year: 2022
Author: Fangman Zhai, Liqun Cao
International Journal of Numerical Analysis and Modeling, Vol. 19 (2022), Iss. 4 : pp. 542–562
Abstract
This paper studies the multiscale algorithm for parabolic integro-differential equations in composite media combining with Laplace transformation. The new contributions reported in this study are threefold: the convergence estimates with an explicit rate for the multiscale solutions of the equations in general domains are proved, the boundary layer solution is defined and the multiscale finite element algorithm which is suitable for parallel computation is presented. Numerical simulations are then carried out to validate the theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2022-IJNAM-20658
International Journal of Numerical Analysis and Modeling, Vol. 19 (2022), Iss. 4 : pp. 542–562
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Parabolic integro-differential equation the multiscale asymptotic method Laplace transformation composite media.