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Zbl 1155.65376
Yi, Z.; Murio, D.A.
(Yi, Kevin)
Identification of source terms in 2-D IHCP. (English)
[J] Comput. Math. Appl. 47, No. 10-11, 1517-1533 (2004). ISSN 0898-1221

Summary: We introduce a stable numerical space marching scheme based on discrete mollification -- implemented as an automatic adaptive filter -- for the approximate identification of temperature, temperature gradient, and source terms in the two-dimensional inverse heat conduction problem (IHCP).\par The stability and error analysis of the algorithm, together with some numerical examples, are provided.

MSC 2000:: *65M32 Inverse problems
80A23 Inverse problems (thermodynamics)
31A25 Boundary value and inverse problems (two-dim.potential theory)
47A52 Ill-posed problems etc.
80M20 Finite difference methods

Keywords: discrete mollification; identification of source terms; finite differences; space marching schemes; parabolic equations; two-dimensional inverse heat conduction problem IHCP

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Zentralblatt MATH Berlin [Germany]