Some regularization methods for a thermoacoustic inverse problem

被引：5

作者：

Kaltenbacher, Barbara ^{[1
]}

Polifke, Wolfgang ^{[2
]}

机构：

[1] Graz Univ, Inst Math & Wissenschaftl, A-8010 Graz, Austria

[2] Tech Univ Munich, Fachgebiet Thermodynam, D-85748 Garching, Germany

来源：

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | 2011年 / 18卷 / 09期

关键词：

Combustion; thermoacoustic inverse problem; regularization; Volterra integral equation; HEAT RELEASE DISTRIBUTION;

D O I：

10.1515/JIIP.2011.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：997 / 1011

页数：15

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