Results 231 to 240 of about 42,506 (251)

A Localized Space-Time Method of Fundamental Solutions for Diffusion and Convection-Diffusion Problems

Advances in Applied Mathematics and Mechanics, 2020
Summary: In this paper, a localized space-time method of fundamental solutions (LSTMFS) is proposed to solve the diffusion and convection-diffusion problems. The proposed LSTMFS only requires some arbitrarily-distributed nodes inside the space-time domain and along its boundary.
Wang, Fajie, Fan, Chia-Ming, Zhang, Chuanzeng, Lin, Ji   +3 more
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THE LOCALIZED METHOD OF FUNDAMENTAL SOLUTIONS FOR PLANAR GROUNDWATER FLOW PROBLEMS

SGEM International Multidisciplinary Scientific GeoConference� EXPO Proceedings, 2023
The method of fundamental solutions is a meshless method that belongs to the Trefftz class of numerical methods. The method needs only the boundary to be defined using the set of boundary collocation nodes; it is mathematically effortless to program.
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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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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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A localized meshless collocation method based on fundamental solutions for 3D uncoupled transient thermoelastic problems

International Journal of Heat and Mass Transfer
Linlin Sun, Zhen Ji, Qing Zhang, Xing Wei   +3 more
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Three-dimensional numerical wave tank containing submerged breakwaters based on the localized method of fundamental solutions

Mathematics and Computers in Simulation
Lanlan Li, Zhuojia Fu, Ming Qin, Shuainan Liu, Weihong Zeng, Xiaoting Liu   +5 more
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A Localized Method of Fundamental Solutions for the Stokes Equations

Advances in Science and Technology
The Method of Fundamental Solution applied to the Stokes equation is investigated. Instead of using the classical approach, the problem is split into several subproblems defined on much smaller subdomains. Each local problem is solved by the Method of Fundamental Solutions.
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Localized method of fundamental solutions for three-dimensional inhomogeneous elliptic problems: theory and MATLAB code

Computational Mechanics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gu, Yan, Fan, Chia-Ming, Qu, Wenzhen, Wang, Fajie, Zhang, Chuanzeng   +4 more
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STOKES EQUATION SOLUTION USING THE LOCALIZED METHOD OF FUNDAMENTAL SOLUTIONS WITH A GLOBAL BASIS

WIT Transactions on Engineering Sciences, 2023
JURAJ MUŽÍK, FILIP CIGÁŇ
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The Usage of the Method of Fundamental Solution for Twisting Composite Rod as a Basis of the Local Analysis

Solid State Phenomena, 2014
The paper presents a resilient torsion of composite bars, which has a cross-section of a circle with a central circular fiber. Composite material is material with heterogeneous structure. It is composed of two or more components with different properties.
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