@Article{AAMM-13-2,
author = {Wang, Lei},
title = {A Kernel-Independent Treecode for General Rotne-Prager-Yamakawa Tensor},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2021},
volume = {13},
number = {2},
pages = {296--310},
abstract = {<p style="text-align: justify;">A particle-cluster treecode based on barycentric Lagrange interpolation is presented for fast summation of hydrodynamic interactions through general Rotne-Prager-Yamakawa tensor in 3D. The interpolation nodes are taken to be Chebyshev points of the 2nd kind in each cluster. The barycentric Lagrange interpolation is scale-invariant that promotes the treecode&#39;s efficiency. Numerical results show that the treecode CPU time scales like $\mathcal{O}(N \log N)$, where $N$ is the number of beads in the system. The kernel-independent treecode is a relatively simple algorithm with low memory consumption, and this enables a straightforward OpenMP parallelization.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2019-0322},
url = {https://global-sci.com/article/72968/a-kernel-independent-treecode-for-general-rotne-prager-yamakawa-tensor}
}