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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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Yan Gu   +4 more
semanticscholar   +3 more sources

Localized method of fundamental solutions for large-scale modelling of three-dimensional anisotropic heat conduction problems – Theory and MATLAB code

Computers & Structures, 2019
The method of fundamental solutions (MFS) belongs to the family of meshless boundary collocation methods and now has been successfully tried for many kinds of engineering problems.
Yan Gu, C. Fan, Wenzhen Qu, Fajie Wang
semanticscholar   +2 more sources

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
The augmented moving least squares (AMLS) approximation is a meshless scheme to construct continuous functions by using fundamental solutions as basis functions.
Xiaolin Li, Shuling Li
semanticscholar   +3 more sources

A Localized Multi-Level Method of Fundamental Solutions Applied to Steady Heat Transfer Problems

Key Engineering Materials
A special localization technique is presented for solving steady heat transfer problems, in which the thermal conductivity may depend on space variables. The original problem is split into several subproblems defined on much smaller subdomains.
Csaba Gáspár
semanticscholar   +2 more sources

The localized method of fundamental solutions for 2D and 3D second-order nonlinear boundary value problems

Engineering Analysis with Boundary Elements, 2022
Shengdong Zhao   +3 more
semanticscholar   +3 more sources

Global rapid thermomechanical decoupling method based on adaptive localized method of fundamental solutions and sparse embedded FBG in thermal protection materials for aerospace vehicles

International Journal of Thermal Sciences
Xiangyu Wei   +8 more
semanticscholar   +2 more sources

Three-dimensional numerical wave tank containing submerged breakwaters based on the localized method of fundamental solutions

Mathematics and Computers in Simulation
Lanlan Li   +5 more
semanticscholar   +2 more sources

Approximation of three‐dimensional nonlinear wave equations by fundamental solutions and weighted residuals process

Mathematical methods in the applied sciences, 2023
In this paper, the localized method of fundamental solutions (LMFS) with coupling the dual reciprocity method (DRM) is applied to simulate three‐space dimensional nonlinear wave equations.
F. Safari
semanticscholar   +1 more source

Green's functions for a two-temperature model of rarefied polyatomic gases: Theory and applications via method of fundamental solutions

The Physics of Fluids
We derive the closed-form fundamental solutions (Green's functions) of a linearized two-temperature model that captures heat transfer in rarefied polyatomic gases by treating translational and internal energy modes separately.
Ankit Farkya, Anil Kumar, A. Rana
semanticscholar   +1 more source

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.
openaire   +1 more source

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