International Journal of Systems Science · 1985 · 25 citations · 5 references
EngineeringComputational EngineeringMechanical EngineeringFinite Element AnalysisFinite Element MethodsHeat TransferFinite Element FormulationHeat ConductionHeat Transfer AnalysisHeat Transfer FundamentalsHeat Transfer ModelingInverse Heat TransferAccuracyHeat Conduction EquationInverse Conduction ProblemInverse Heat ConductionInverse Heat Conduction ProblemsInverse Problem SolvingSurface TemperatureTemperature Distribution Analysis
Abstract The paper is concerned with the inverse problem of a heat-conduction model using the finite-element method. The problem is to estimate the surface temperature and surface heat flux using the time history of measured temperature at some interior points of a heat-conducting body. The finite-element formulation estimates the temperature distribution inside the body, and then the surface heat flux is determined so as to minimize the sum of squares of the difference between the estimated and measured temperatures at the interior points. As a numerical experiment, the technique is applied to the inverse problem of the thin-skinned heat-transfer model with a position-dependent surface heat flux. Numerical results show the effectiveness of the proposed technique from the viewpoint of numerical accuracy.
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