Journal of Inverse and Ill-Posed Problems · 2001 · 27 citations · 0 references
ComputingComputational EngineeringMechanical EngineeringComputational Heat TransferHeat TransferThermodynamicsHeat ConductionHeat Transfer AnalysisInverse Heat TransferInverse ProblemsIterative SolversNumerical AlgorithmsHeat Flux ReconstructionIll-posed Inverse ProblemsIll-posed ProblemsInverse Conduction ProblemInverse Heat ConductionInverse Heat Conduction ProblemsInverse Radiative Heat TransferTemperature Field Reconstruction
Abstract - We consider the problem of reconstruction of the temperature from measurements of the temperature and heat flux on a part of the boundary and present iterative methods for solving this problem. The characteristic feature of the methods is the fact that in each iteration step, well-posed problems for the same equation are solved. The regularizing character of the methods comes from suitable choice of boundary conditions. This fact allows one to use standard numerical packages. Some numerical experiments are given.