Iterative algorithms for solving inverse problems of heat conduction in multiply connected domains

• Published in: International journal of heat and mass transfer Vol. 55; no. 4; pp. 744 - 751
• Main Authors: Frckowiak, A., Ciakowski, M., Wrblewska, A.
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 31.01.2012; Elsevier
• Subjects: Algorithms; Analytical and numerical techniques; Boundaries; Cauchy problem; Criteria; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Heat conduction; Heat transfer; Inverse problem; Inverse problems; Iterative algorithm; Iterative algorithms; Mathematical analysis; Mathematical models; Physics; Iterative algorithm; Inverse problem; Cauchy problem; Laplace equations; Algorithms; Inverse problems; Digital simulation; Modelling; Iterative methods; Thermal conduction

The presented paper displays a method of solving the inverse problems of heat transfer in multi-connected regions, consisting in iterative solving of convergent series of the direct problems. For known temperature and flux values at the outer boundary of the region the temperature and flux values at...