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Domain-Decomposition Localized Method of Fundamental Solutions for Large-Scale Heat Conduction in Anisotropic Layered Materials

Advances in Applied Mathematics and Mechanics, 2022
Summary: The localized method of fundamental solutions (LMFS) is a relatively new meshless boundary collocation method. In the LMFS, the global MFS approximation which is expensive to evaluate is replaced by local MFS formulation defined in a set of overlapping subdomains.
Liu, Shuainan, Fu, Zhuojia, Gu, Yan
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Localized Method of Fundamental Solutions for Acoustic Analysis Inside a Car Cavity with Sound-Absorbing Material

Advances in Applied Mathematics and Mechanics, 2023
Summary: 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 ...
Chen, Zengtao, Wang, Fajie
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Localized method of fundamental solutions for two- and three-dimensional transient convection-diffusion-reaction equations

Engineering Analysis with Boundary Elements, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Shuainan   +3 more
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Localized method of fundamental solutions for interior Helmholtz problems with high wave number

Engineering Analysis with Boundary Elements, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenzhen Qu, Chia-Ming Fan, Yan Gu
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Localized method of fundamental solutions for solving two-dimensional Laplace and biharmonic equations

Engineering Analysis with Boundary Elements, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
C.M. Fan   +3 more
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Analysis of an augmented moving least squares approximation and the associated localized method of fundamental solutions

Computers & Mathematics with Applications, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenzhen Qu, Chia-Ming Fan, Xiaolin Li
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Localized method of fundamental solutions for large-scale modeling of two-dimensional elasticity problems

Applied Mathematics Letters, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yan Gu, Chia-Ming Fan, Rui-Ping Xu
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On the augmented moving least squares approximation and the localized method of fundamental solutions for anisotropic heat conduction problems

Engineering Analysis with Boundary Elements, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Xiaolin, Li, Shuling
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Analysis of three-dimensional interior acoustic fields by using the localized method of fundamental solutions

Applied Mathematical Modelling, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenzhen Qu   +3 more
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Localized method of fundamental solutions for three-dimensional inhomogeneous elliptic problems: theory and MATLAB code

Computational Mechanics, 2019
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Gu, Yan   +4 more
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