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| Boundary Identification for a Blast Furnace |
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Citation： |
Yongji TAN,Rui HE.Boundary Identification for a Blast Furnace[J].Chinese Annals of Mathematics B,2007,28(5):571~582 |
| Page view： 1177
Net amount： 994 |
Authors： |
Yongji TAN; Rui HE |
Foundation： |
the National Natural Science Foundation of China (No. 10431030) |
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| Abstract： |
In this paper, the authors discuss an inverse boundary problem for the axi-symmetric steady-state heat equation, which arises in monitoring the boundary corrosion for the blast-furnace. Measure temperature at some locations are used to identify the shape of the corrosion boundary. The numerical inversion is complicated and consuming since the wear-line varies during the process and the boundary in the heat problem is not fixed. The authors suggest a method that the unknown boundary can be represented by a given curve plus a small perturbation, then the equation can be solved with fixed boundary, and a lot of computing time will be saved. A method is given to solve the inverse problem by minimizing the sum of the squared residual at the measuring locations, in which the direct problems are solved by axi-symmetric fundamental solution method. The numerical results are in good agreement with test model data as well as industrial data, even in severe corrosion case. |
Keywords： |
Inverse problem, Axi-Symmetric fundamental solution, Perturbation method |
Classification： |
11R70, 11R11, 11R27 |
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