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 -

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.