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Temporal splitting algorithms for non-stationary multiscale problems
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DOI：10.1016/j.jcp.2021.110375.png)
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摘要
En 中文
In this paper, we study temporal splitting algorithms for multiscale problems. The exact fine-grid spatial problems typically require some reduction in degrees of freedom. Multiscale algorithms are designed to represent the fine-scale details on a coarse grid and, thus, reduce the problems' size. When solving time-dependent problems, one can take advantage of the multiscale decomposition of the solution and perform temporal splitting by solving smaller-dimensional problems, which is studied in the paper. In the proposed approach, we consider the temporal splitting based on various low dimensional spatial approximations. Because a multiscale spatial splitting gives a good decomposition of the solution space, one can achieve an efficient implicit-explicit temporal discretization. We present a recently developed theoretical result in [15] and adopt in this paper for multiscale problems. Numerical results are presented to demonstrate the efficiency of the proposed splitting algorithm. (C) 2021 Published by Elsevier Inc.
Keyword:
Multiscale
GMsFEM
Splitting
Porous media
Three-layer
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期刊
IF:
3.8
论文数:
1.6W
被引数:
7.4W
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