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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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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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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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A Localized Collocation Method Based on Nonsingular Fundamental Solutions for Steady-State Heat Conduction Analysis in Heterogeneous Materials

International Journal of Computational Methods
This paper further develops a localized nonsingular method of fundamental solutions (LNMFS) for effectively solving heat conduction problems in functionally graded materials (FGMs). In this numerical framework, the LNMFS approach is proposed as a solution for the inhomogeneous boundary value problems, where a pseudo-spectral Chebyshev collocation ...
Shuainan Liu   +3 more
openaire   +1 more source

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. The subproblems are solved using the Method of Fundamental Solutions, which is a truly meshless method.
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Local method of fundamental solutions formulations for polyharmonic BVPs

Journal of Computational Science
Andreas Karageorghis   +2 more
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Neural network-driven adaptive parameter selection for the Local Method of Fundamental Solutions

Engineering Analysis with Boundary Elements
L. Han   +5 more
openaire   +1 more source

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