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

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Abstract:

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. This leads to a Seidel-like iterative technique, which mimics the classical Schwarz overlapping method. The problems associated with large, dense and ill-conditioned matrices are avoided. The method is embedded into a multi-level context, which significantly reduces the computational complexity.

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Periodical:

Key Engineering Materials (Volume 1033)

Pages:

93-104

DOI:

https://doi.org/10.4028/p-NN3rBx

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Cite this paper

Online since:

November 2025

Authors:

Csaba Gáspár*

Keywords:

Heat Transfer, Localization, Method of Fundamental Solutions, Multi-Level Methods, Schwarz Alternating Method

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© 2025 Trans Tech Publications Ltd. All Rights Reserved

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* - Corresponding Author

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