TY - JOUR
T1 - A Multiscale Parallel Algorithm for Parabolic Integro-Differential Equation in Composite Media
AU - Zhai , Fangman
AU - Cao , Liqun
JO - International Journal of Numerical Analysis and Modeling
VL - 4
SP - 542
EP - 562
PY - 2022
DA - 2022/06
SN - 19
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/20658.html
KW - Parabolic integro-differential equation, the multiscale asymptotic method, Laplace transformation, composite media.
AB - <p style="text-align: justify;">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.</p>