An error estimation of an approximate solution of one inverse problem of thermal diagnostics
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 13 (2010) no. 1, pp. 89-100
Citer cet article
Voir la notice de l'article provenant de la source Math-Net.Ru
In thermal diagnostics of rocket engines [1], it is necessary to take into account the physical properties of composite materials used. This brings about the solution to inverse boundary value problems for the parabolic equation with discontinuity coefficients. High requirements imposed upon the accuracy of approximate solutions of the given class of problems make it possible to obtain error estimations of the methods used.
[1] Isakov G. N., Kuzin A. Ya., Savelev V. N., Ermolaev F. V., “Opredelenie kharakteristik tonkosloinykh teplozaschitnykh pokrytii iz resheniya obratnykh zadach teplo- i massoperenosa”, Fizika goreniya i vzryva, 39:5 (2003), 86–96
[2] Kolmogorov A. N., Fomin S. V., Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1972