On the inverse problem solution for two-dimentional domain

Authors

  • Gorbashova E.A. Southern Federal University, Rostov-on-Don, Russian Federation
  • Ouglich P.S. Southern Mathematical Institute, Vladikavkaz Scientific Center, Russian Academy of Sciences, Vladikavkaz, Republic of North Ossetia - Alania, Russian Federation

UDC

534.1

Abstract

Both direct and inverse problems for antiplane enforced vibrations of the elastic rectangular bar are considered. Shear modulus and density of the considered body depend on both coordinates. For the direct problem solving, the finite differenses method is used. It reduses the direct problem to a linear equations system, which can be solved using the modified tridiagonal matrix algorithm. The inverse problem of material properties definition using displacement field data is also considered and redused to the iterative solution of the integral equations sequence.

Keywords:

inverse coefficient problems, finite difference method

Acknowledgement

Работа выполнена при поддержке РФФИ (10-01-00194-а), ФЦП "Научные и научно-педагогические кадры инновационной России" на 2009-2013 годы (г/к П596) и Южного математического института, г. Владикавказ.

Author Infos

Ekaterina A. Gorbashova

студентка факультета математики, механики и компьютерных наук Южного федерального университета

e-mail: katy0509@mail.ru

Pavel S. Ouglich

канд. физ.-мат. наук, научный сотрудник Южного математического института Владикавказского научного центра РАН

e-mail: puglich@inbox.ru

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Issue

2012. No. 4

Pages

48-55

Submitted

2012-04-27

Published

2012-12-25

How to Cite

Gorbashova E.A., Ouglich P.S. On the inverse problem solution for two-dimentional domain. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2012, no. 4, pp. 48-55. (In Russian)

Copyright (c) 2012 Gorbashova E.A., Ouglich P.S.

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This work is licensed under a Creative Commons Attribution 4.0 International License.