Local MFS Matrix Decomposition Algorithms for Elliptic BVPs in Annuli

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-02-01 DOI:10.4208/nmtma.oa-2023-0045

C.S. Chen,Andreas Karageorghis, Min Lei

引用次数: 0

Abstract

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.

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环形椭圆BVP的局部MFS矩阵分解算法

我们将基本解局部法（LMFS）应用于拉普拉斯方程和同质双谐波方程的边界值问题（BVPs）。通过适当选择配位点，LMFS离散化得到稀疏的分块环形系统矩阵。因此，可以使用矩阵分解算法（MDA）和快速傅立叶变换（FFT）来求解系统，从而大大节省了计算时间和存储需求。通过将该方法应用于几个数值实验，证明了该方法的准确性及其解决大型问题的能力。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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