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 |
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| container_title | Engineering analysis with boundary elements |
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| creator | Hon, Y C Wei, T |
| description | 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. |
| doi_str_mv | 10.1016/S0955-7997(03)00102-4 |
| format | Article |
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| title | A fundamental solution method for inverse heat conduction problem |
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