Identification of parameters in parabolic inverse problems

Azari, Hossein; Liu, Tang; Zhang, Shuhua

  • Applications of Mathematics 2012, Publisher: Institute of Mathematics AS CR(Prague), page 1-13

Abstract

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In this paper we consider a parabolic inverse problem in which two unknown functions are involved in the boundary conditions, and attempt to recover these functions by measuring the values of the flux on the boundary. Explicit solutions for the temperature and the radiation terms are derived, and some stability and asymptotic results are discussed. Finally, by using the newly proposed numerical procedure some computational results are presented.

How to cite

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Azari, Hossein, Liu, Tang, and Zhang, Shuhua. "Identification of parameters in parabolic inverse problems." Applications of Mathematics 2012. Prague: Institute of Mathematics AS CR, 2012. 1-13. <http://eudml.org/doc/287846>.

@inProceedings{Azari2012,
abstract = {In this paper we consider a parabolic inverse problem in which two unknown functions are involved in the boundary conditions, and attempt to recover these functions by measuring the values of the flux on the boundary. Explicit solutions for the temperature and the radiation terms are derived, and some stability and asymptotic results are discussed. Finally, by using the newly proposed numerical procedure some computational results are presented.},
author = {Azari, Hossein, Liu, Tang, Zhang, Shuhua},
booktitle = {Applications of Mathematics 2012},
keywords = {parabolic equation; parameter identification; inverse problem},
location = {Prague},
pages = {1-13},
publisher = {Institute of Mathematics AS CR},
title = {Identification of parameters in parabolic inverse problems},
url = {http://eudml.org/doc/287846},
year = {2012},
}

TY - CLSWK
AU - Azari, Hossein
AU - Liu, Tang
AU - Zhang, Shuhua
TI - Identification of parameters in parabolic inverse problems
T2 - Applications of Mathematics 2012
PY - 2012
CY - Prague
PB - Institute of Mathematics AS CR
SP - 1
EP - 13
AB - In this paper we consider a parabolic inverse problem in which two unknown functions are involved in the boundary conditions, and attempt to recover these functions by measuring the values of the flux on the boundary. Explicit solutions for the temperature and the radiation terms are derived, and some stability and asymptotic results are discussed. Finally, by using the newly proposed numerical procedure some computational results are presented.
KW - parabolic equation; parameter identification; inverse problem
UR - http://eudml.org/doc/287846
ER -

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