TY - JOUR
T1 - Some regularization methods for a thermoacoustic inverse problem
AU - Kaltenbacher, Barbara
AU - Polifke, Wolfgang
PY - 2011/3
Y1 - 2011/3
N2 - In this paper we consider the thermoacoustic inverse problem of identifying the oscillatory heat release from pressure measurements. We consider the spatially one-dimensional 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.
AB - In this paper we consider the thermoacoustic inverse problem of identifying the oscillatory heat release from pressure measurements. We consider the spatially one-dimensional 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.
KW - Combustion
KW - Regularization
KW - Thermoacoustic inverse problem
KW - Volterra integral equation
UR - http://www.scopus.com/inward/record.url?scp=79953722280&partnerID=8YFLogxK
U2 - 10.1515/JIIP.2011.017
DO - 10.1515/JIIP.2011.017
M3 - Article
AN - SCOPUS:79953722280
SN - 0928-0219
VL - 18
SP - 997
EP - 1011
JO - Journal of Inverse and Ill-Posed Problems
JF - Journal of Inverse and Ill-Posed Problems
IS - 9
ER -