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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.
openaire   +1 more source

Preconditioning for near-contacts in large 2D Stokes flows: a locally compressed method of fundamental solutions

We tackle two key difficulties in the simulation of the viscous hydrodynamics of a large dense collection of rigid particles: (i) the poor convergence rate of an iterative solution of the discretized linear system as particle gaps shrink, and (ii) the large number of unknowns needed to accurately discretize the resulting lubrication-driven flows.
Broms, Anna   +2 more
openaire   +1 more source

Local method of fundamental solutions formulations for polyharmonic BVPs

Journal of Computational Science
Andreas Karageorghis   +2 more
openaire   +1 more source

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

A novel computational framework based on localized method of fundamental solution for heat conduction in anisotropic and nonhomogeneous multi-materials

International Journal of Heat and Mass Transfer
Wenzhi Xu   +4 more
openaire   +1 more source

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