CALCULATION OF A TEMPERATURE ERROR BY THE CONJUGATE EQUATION

A. K. Alekseev

UDC 536.5:519.6

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.

"Energiya" Russian Space Corporation, 4a Lenin Str., Korolev, 
Moscow Region, 141070, Russia; email: aleksey.alekseev@relcom.ru. 
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 77, No. 1, pp. 
141-145, January-February, 2004. Original article submitted 
April 7, 2003.