EMPLOYMENT OF THE CONJUGATE EQUATIONS
OF FIRST AND SECOND ORDER IN EVALUATING
THE ERROR OF SOLUTION OF THE HEAT-CONDUCTION EQUATION 
A. K. Alekseev

UDC 536.5:519.6

Consideration has been given to the employment of the 
conjugate problems of first and second orders, which are applied to 
solution of the inverse problems of heat exchange, to calculate the 
error of solution of the primal problem from the data on the error 
of the initial information. It has been shown that the algorithms 
of solution of the inverse problems of heat exchange in a variational 
formulation make it possible to directly determine the error of the 
corresponding primal problems by calculation of the Hessian range.

S. P. Korolev Space-Rocket Corporation "Energiya," Korolev, Moscow Region, 
Russia; email: aleksey.alekseev@relcom.ru. 
Translated from Inzhenerno-Fiziecheskii Zhurnal, Vol. 75, No. 2, 
pp. 143-147, March-April, 2002. Original article submitted May 26, 2000; 
revision submitted August 13, 2001.

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