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Source term identification for an axisymmetric inverse heat conduction problem. (English) Zbl 1189.65215
Summary: We consider an inverse heat source problem of determining the heat source term from the final temperature history of a cylinder. This problem is ill-posed. A simplified Tikhonov regularization method is applied to formulate regularized solution, which is stably convergent to the exact one with a logarithmic type error estimate.
MSC:
65M32Inverse problems (IVP of PDE, numerical methods)
35R30Inverse problems for PDE
65M30Improperly posed problems (IVP of PDE, numerical methods)
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