@Article{AAMM-15-1,
author = {Zengtao, Chen and Wang, Fajie},
title = {Localized Method of Fundamental Solutions for Acoustic Analysis Inside a Car Cavity with Sound-Absorbing Material},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2023},
volume = {15},
number = {1},
pages = {182--201},
abstract = {<p style="text-align: justify;">This paper documents the first attempt to apply a localized method of fundamental solutions (LMFS) to the acoustic analysis of car cavity containing sound-absorbing materials. The LMFS is a recently developed meshless approach with the
merits of being mathematically simple, numerically accurate, and requiring less computer time and storage. Compared with the traditional method of fundamental solutions (MFS) with a full interpolation matrix, the LMFS can obtain a sparse banded
linear algebraic system, and can circumvent the perplexing issue of fictitious boundary encountered in the MFS for complex solution domains. In the LMFS, only circular
or spherical fictitious boundary is involved. Based on these advantages, the method
can be regarded as a competitive alternative to the standard method, especially for
high-dimensional and large-scale problems. Three benchmark numerical examples
are provided to verify the effectiveness and performance of the present method for the
solution of car cavity acoustic problems with impedance conditions.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2021-0197},
url = {https://global-sci.com/article/72830/localized-method-of-fundamental-solutions-for-acoustic-analysis-inside-a-car-cavity-with-sound-absorbing-material}
}