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Effects of Implementation Quasiinvertion and Optimization Methods for Nonlinear Boundary Inverse Heat Conduction Problems

Sergii Pidlisnyi, Marko M. Mäkelä, Yuri Nikulin, Effects of Implementation Quasiinvertion and Optimization Methods for Nonlinear Boundary Inverse Heat Conduction Problems. TUCS Technical Reports 1083, TUCS, 2013.

Abstract:

In this paper we consider heat treatment by using the concentrated energy fluxes (laser). We estimate the solutions of the nonlinear boundary inverse heat conduction problems by using quasiinvertion and optimization methods. The results were obtained by using both exact and noisy input data. In order to increase result stability a smoothing filter was used for noisy input data. We analyse and compare results for different shapes of laser treatment such as: trapezoidal shape, sinusoidal shape and triangular one with low-angle anterior front.

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BibTeX entry:

@TECHREPORT{tPiMxNi13a,
  title = {Effects of Implementation Quasiinvertion and Optimization Methods for Nonlinear Boundary Inverse Heat Conduction Problems},
  author = {Pidlisnyi, Sergii and Mäkelä, Marko M. and Nikulin, Yuri},
  number = {1083},
  series = {TUCS Technical Reports},
  publisher = {TUCS},
  year = {2013},
  keywords = {inverse problem, quasiinvertion method, optimization methods, laser treatment, nonlinear heat conduction problem},
  ISBN = {978-952-12-2907-7},
}

Belongs to TUCS Research Unit(s): Turku Optimization Group (TOpGroup)

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