Year: 2020
Author: Shangyuan Zhang, Yufeng Nie
International Journal of Numerical Analysis and Modeling, Vol. 17 (2020), Iss. 6 : pp. 858–871
Abstract
A fast algorithm for the nonlocal unsteady problems was proposed, which can be employed in the numerical simulation of nonlocal diffusion and peridynamic. The surrogate model constructed by the proper orthogonal decomposition (POD) speeds up the process of solving equations by reducing the order of linear equations. Then, the accuracy and efficiency of the proposed algorithm was verified by numerical experiments. The results showed that this approach ensures accuracy while reduces the computational burden of the nonlocal model.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2020-IJNAM-18355
International Journal of Numerical Analysis and Modeling, Vol. 17 (2020), Iss. 6 : pp. 858–871
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Nonlocal diffusion peridynamic fast algorithm POD model reduction.