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Some regularization methods for a thermoacoustic inverse problem
-
Barbara Kaltenbacher
and
Wolfgang Polifke
Published/Copyright:
April 2, 2011
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.
Received: 2010-09-28
Published Online: 2011-04-02
Published in Print: 2011-March
© de Gruyter 2011
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Keywords for this article
Combustion;
thermoacoustic inverse problem;
regularization;
Volterra integral equation
Articles in the same Issue
- Recent advances in analytical and numerical methods in inverse problems for PDEs (minisymposium report)
- On a class of finite difference methods for ill-posed Cauchy problems with noisy data
- Numerical algorithm for two-dimensional inverse acoustic problem based on Gel'fand–Levitan–Krein equation
- Some regularization methods for a thermoacoustic inverse problem
- Application of inversion methods in solving ill-posed problems for magnetic parameter identification of steel hull vessel
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