A fundamental solution method for inverse heat conduction problem

In this paper, we develop a new meshless and integration-free numerical scheme for solving an inverse heat conduction problem. The numerical scheme is developed based on the use of the fundamental solution as a radial basis function. To regularize the resultant ill-conditioned linear system of equat...

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Veröffentlicht in:Engineering analysis with boundary elements 2004-05, Vol.28 (5), p.489-495
Hauptverfasser: Hon, Y C, Wei, T
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we develop a new meshless and integration-free numerical scheme for solving an inverse heat conduction problem. The numerical scheme is developed based on the use of the fundamental solution as a radial basis function. To regularize the resultant ill-conditioned linear system of equations, we apply successfully both the Tikhonov regularization technique and the L-curve method to obtain a stable numerical approximation to the solution. The approach is readily extendable to solve high-dimensional problems under irregular domain.
ISSN:0955-7997
DOI:10.1016/S0955-7997(03)00102-4