Inverse heat conduction: ill-posed problems by Beck J.V., Blackwell B., St.Clair C.R.

Inverse heat conduction: ill-posed problems



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Inverse heat conduction: ill-posed problems Beck J.V., Blackwell B., St.Clair C.R. ebook
Publisher: Wiley
Format: djvu
Page: 327
ISBN: 0471083194,


Matrix A is extremely ill-conditioned due to the ill-posed nature of the IHCP. ITERATIVE METHODS FOR SOLVING INVERSE AND ILL-POSED PROBLEMS WITH DATA GIVEN ON THE PART OF THE BOUNDARY book download Download ITERATIVE METHODS FOR SOLVING INVERSE AND ILL-POSED PROBLEMS WITH DATA GIVEN ON THE PART OF THE BOUNDARY with periodic boundary conditions. Key words: heat transfer, inverse problem, homotopy perturbation .. Adaptive wavelet methods and sparsity reconstruction for inverse heat conduction problems. Key Words: backward heat conduction problem, inverse problem, regular- ization , integral equation, ill-posed. The inverse heat conduction problem (IHCP) is a very important problem in This problem is known to be extremly ill-posed: a small perturbation in the data. Journal of Inverse and Ill-posed Problems,19(1):25-48, 2011. For an introduction to regularization techniques for such ill-posed problems see [ 18,25]. Abstract: Inverse problems related to heat conduction, especially inverse heat conduction problems and their steady-state, i.e., the Cauchy problem for the Laplace equation, backward heat conduction problems, unknown source identification for us in theoretic research.The main contents of this thesis consist of four chapters. A standard inverse heat conduction problem (IHCP) is to compute the unknown . [1] Beck, J.V., Blackwell, B., St.Clair, C.R., Inverse Heat Conduction: Ill Posed Problems,. Molabahrami, A weighted algorithm based on the homotopy analysis method: Application to inverse heat conduction problems A. An inverse heat conduction problem is concerned with the determination of the un- . Currents in Impedance Tomography. First publications on inverse and ill-posed problems date back to the first half of .. In the second chapter we mainly consider two backward heat conduction problems in two symmetric regions. Practical inverse problems Inverse Heat Conduction Problems Some typical inverse and ill-posed problems are. R., “Inverse heat conduction: Ill posed problems,” New York, John Wiley & Sons, 1985.