In this paper, a new numerical scheme which combines the multiscale asymptotic method and the Laplace transformation, is presented for solving the 3-D dual-phase-lagging equation in composite materials. The convergence results of the truncated first-order and second-order multiscale approximate solutions are given rigorously. The numerical experiments are carried out to validate the theoretical results of this paper. It is pointed out that the proposed method allows us to choose a relative coarse grid and solve problems in parallel, and therefore it can greatly save computer memory storage and CPU time.

中文翻译：

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复合材料双相滞后热传导方程的多尺度并行算法

提出了一种结合多尺度渐近方法和拉普拉斯变换的新数值格式，用于求解复合材料中的3-D双相滞后方程。严格给出了截断的一阶和二阶多尺度近似解的收敛结果。通过数值实验验证了本文的理论结果。需要指出的是，提出的方法可以选择一个相对粗糙的网格并并行解决问题，因此可以大大节省计算机内存和CPU时间。