TY - JOUR
T1 - A POD-Based Fast Algorithm for the Nonlocal Unsteady Problems
AU - Zhang , Shangyuan
AU - Nie , Yufeng
JO - International Journal of Numerical Analysis and Modeling
VL - 6
SP - 858
EP - 871
PY - 2020
DA - 2020/10
SN - 17
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/18355.html
KW - Nonlocal diffusion, peridynamic, fast algorithm, POD, model reduction.
AB - <p style="text-align: justify;">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.</p>