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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

6 Issues per year


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Online
ISSN
1569-3945
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Volume 18, Issue 9 (Jan 2011)

Issues

Some regularization methods for a thermoacoustic inverse problem

Barbara Kaltenbacher
  • Institut für Mathematik und Wissenschaftliches Rechnen, Universität Graz, Heinrichstr. 36, A-8010 Graz, Austria.
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/ Wolfgang Polifke
  • Fachgebiet für Thermodynamik, Technische Universität München, Boltzmannstr. 15, D-85748 Garching, Germany.
  • Email:
Published Online: 2011-04-02 | DOI: https://doi.org/10.1515/jiip.2011.017

Abstract

In this paper we consider the thermoacoustic inverse problem of identifying the oscillatory heat release from pressure measurements. We consider the spatially onedimensional and time harmonic case. Three different regularization methods for the stable solution of this ill-posed inverse problem are proposed: Lavrent'ev's method, regularization by discretization, and a method based on an explicit formula combined with regularized numerical differentiation. For these methods, the results of numerical experiments are documented.

Keywords.: Combustion; thermoacoustic inverse problem; regularization; Volterra integral equation

About the article

Received: 2010-09-28

Published Online: 2011-04-02

Published in Print: 2011-03-01


Citation Information: Journal of Inverse and Ill-posed Problems, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/jiip.2011.017. Export Citation

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