Управление источниками в задаче теплопроводности

V.A. Morozov; N.M. Tokarev; V.G. Lezhnev

The source control in the problem of heat conduction

Authors

V.A. Morozov
N.M. Tokarev
V.G. Lezhnev

Keywords:

heat conduction

boundary value problems

inverse problem of heat conduction

control of distributed parameters

Abstract

For the heat conduction equation, a boundary value problem that consists in determining the density of volume sources which provides a prescribed final (T > 0) temperature distribution is considered. The correctness of the problem is proved, a convergent algorithm is constructed, and an algorithm for solving the inverse problem of heat conduction is proposed. The work was performed in the framework of the target program (project 2.1.1/1292) and was supported by the Russian Foundation for Basic Research (projects 11–01–96511a and 13–01–00096a).

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PDF (Русский)

Published

2013-02-17

Issue

Vol. 14 (2013): Issue 1.

Section

Section 1. Numerical methods and applications

Author Biographies

References

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Лежнев В.Г., Марковский А.Н. К решению обратной задачи теплопроводности // Сибирские электронные математические известия.
Михайлов В.П. Дифференциальные уравнения в частных производных. М.: Наука, 1983.
Морозов В.А. Регулярные методы решения некорректно поставленных задач. М.: Изд-во Моск. ун-та, 1987.
Морозов В.А., Лежнев В.Г., Токарев Н.М. Вариационная задача для бигармонического уравнения // Вычислительные методы и программирование. 2012. 13, № 2. 409-412.

How to cite

Vishnevsky D.M., Lisitsa V.N. and Reshetova G.V. Numerical simulation of seismic wave propagation in media with viscoelastic intrusions // Numerical Methods and Programming. 2013. 14, No 1. 155–165.

TEX CODE:

{\it Vishnevsky~D.M., Lisitsa~V.N.~and~Reshetova~G.V.}
Numerical simulation of seismic wave propagation in media with viscoelastic intrusions~//
Numerical Methods and Programming. 2013.
\textbf{14}, No~1. 155--165.

Vishnevsky D. , Lisitsa V.  and Reshetova G. ,  (2013) “Numerical simulation of seismic wave propagation in media with viscoelastic intrusions,” Numerical Methods and Programming, vol. 14, no. 1, pp. 155–165.

TEX CODE:

Vishnevsky~D.~, Lisitsa~V.~ and~Reshetova~G.~, (2013)
``Numerical simulation of seismic wave propagation in media with viscoelastic intrusions,''
{\it Numerical Methods and Programming}, vol.~14, no.~1, pp.~155--165.

D.  Vishnevsky, V.  Lisitsa and G.  Reshetova,  “Numerical simulation of seismic wave propagation in media with viscoelastic intrusions,” Numerical Methods and Programming 14, no. 1 (2013): 155–165

TEX CODE:

D.~ Vishnevsky, V.~ Lisitsa~and~G.~ Reshetova,
``Numerical simulation of seismic wave propagation in media with viscoelastic intrusions,''
{\it Numerical Methods and Programming}, no.~1 (2013): 155--165

Vishnevsky D. , Lisitsa V.  and Reshetova G.  Numerical simulation of seismic wave propagation in media with viscoelastic intrusions. Numerical Methods and Programming. 2013;14(1):155–165.(In Russ.).

TEX CODE:

Vishnevsky~D.~, Lisitsa~V.~ and~Reshetova~G.~
Numerical simulation of seismic wave propagation in media with viscoelastic intrusions.
Numerical Methods and Programming. 2013;14(1):155--165.(In Russ.).