@Article{CiCP-15-365,
author = {Hualong Feng, Amlan Barua, Shuwang Li and Xiaofan Li},
title = {A Parallel Adaptive Treecode Algorithm for Evolution of Elastically Stressed Solids},
journal = {Communications in Computational Physics},
year = {2014},
volume = {15},
number = {2},
pages = {365--387},
abstract = {<p style="text-align: justify;">The evolution of precipitates in stressed solids is modeled by coupling a
quasi-steady diffusion equation and a linear elasticity equation with dynamic boundary conditions. The governing equations are solved numerically using a boundary
integral method (BIM). A critical step in applying BIM is to develop fast algorithms to
reduce the arithmetic operation count of matrix-vector multiplications. In this paper,
we develop a fast adaptive treecode algorithm for the diffusion and elasticity problems
in two dimensions (2D). We present a novel source dividing strategy to parallelize the
treecode. Numerical results show that the speedup factor is nearly perfect up to a
moderate number of processors. This approach of parallelization can be readily implemented in other treecodes using either uniform or non-uniform point distribution. We
demonstrate the effectiveness of the treecode by computing the long-time evolution of
a complicated microstructure in elastic media, which would be extremely difficult with
a direct summation method due to CPU time constraint. The treecode speeds up computations dramatically while fulfilling the stringent precision requirement dictated by
the spectrally accurate BIM.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.220812.220513a},
url = {http://global-sci.org/intro/article_detail/cicp/7098.html}
}