@Article{NMTMA-17-1,
author = {Chen, C.S. and Karageorghis, Andreas and Min, Lei},
title = {Local MFS Matrix Decomposition Algorithms for Elliptic BVPs in Annuli},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2024},
volume = {17},
number = {1},
pages = {93--120},
abstract = {<p style="text-align: justify;">We apply the local method of fundamental solutions (LMFS) to boundary
value problems (BVPs) for the Laplace and homogeneous biharmonic equations in
annuli. By appropriately choosing the collocation points, the LMFS discretization
yields sparse block circulant system matrices. As a result, matrix decomposition
algorithms (MDAs) and fast Fourier transforms (FFTs) can be used for the solution
of the systems resulting in considerable savings in both computational time and
storage requirements. The accuracy of the method and its ability to solve large scale
problems are demonstrated by applying it to several numerical experiments.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2023-0045},
url = {https://global-sci.com/article/91254/local-mfs-matrix-decomposition-algorithms-for-elliptic-bvps-in-annuli}
}