Abstract
A temperature error depending on the error of initial information can be calculated by the conjugate problem. On estimation of the error at one time‐ and coordinate‐local point the expenditures of the computation time and computer memory are double the expenditures for calculation of the heat‐conduction equation. The conjugate‐temperature field obtained in this case allows calculation of the effect of the error of any parameter of the problem (initial conditions, boundary conditions, coefficients). In the linear case, the conjugate‐temperature field depends on the position of the point under estimation; in the nonlinear case, it additionally depends on the temperature field. The approach considered can be applied to calculation of the error of a wide class of temperature functionals.
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Alekseev, A.K. Calculation of a Temperature Error by the Conjugate Equation. Journal of Engineering Physics and Thermophysics 77, 171–176 (2004). https://doi.org/10.1023/B:JOEP.0000020734.89968.90
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DOI: https://doi.org/10.1023/B:JOEP.0000020734.89968.90