Some regularization methods for a thermoacoustic inverse problem

DOI10.1515/jiip.2011.017zbMath1279.80003OpenAlexW2057188345MaRDI QIDQ2874489

W. Polifke, Barbara Kaltenbacher

Publication date: 30 January 2014

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.2011.017

zbMATH Keywords

regularizationcombustionVolterra integral equationthermoacoustic inverse problem

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Combustion (80A25) Volterra integral equations (45D05) Inverse problems in thermodynamics and heat transfer (80A23)

Related Items

A convergence analysis of the midpoint rule for first kind Volterra integral equations with noisy data, Regularization of Cauchy abstract problem for a coupled system for nonlinear elliptic equations, On an inverse boundary value problem of a nonlinear elliptic equation in three dimensions, Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by boundary data. I: Carleman estimates

Cites Work

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• Numerical differentiation from a viewpoint of regularization theory
• Inverse problems and Carleman estimates
• Stability estimates for ill-posed cauchy problems involving hyperbolic equations and inequalities
• Scale-type-estimates for a generalized method of Lavrent'ev regularization
• Stability, reconstruction formula and regularization for an inverse source hyperbolic problem by a control method
• On a global estimate in a linear inverse hyperbolic problem