Numerical algorithm for solving the inverse problem for the helmholtz equation

M. A. Shishlenin, S. E. Kasenov, Zh A. Askerbekova

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Abstract

In this paper we consider acoustic equation. The equation by separation of variables is reduced to a boundary value problem for the Helmholtz equation. We consider problem for the Helmholtz equation. We reduce the solution of the operator equation to the problem of minimizing the functional. And we build numerical algorithm for solving the inverse problem. At the end of the article is given the numerical calculations of this problem.

Original languageEnglish
Title of host publicationComputational and Information Technologies in Science, Engineering and Education - 9th International Conference, CITech 2018, Revised Selected Papers
EditorsYuri Shokin, Zhassulan Shaimardanov
PublisherSpringer-Verlag GmbH and Co. KG
Pages197-207
Number of pages11
ISBN (Print)9783030122027
DOIs
Publication statusPublished - 1 Jan 2019
Event9th International Conference on Computational and Information Technologies in Science, Engineering and Education, CITech 2018 - Ust-Kamenogorsk, Kazakhstan
Duration: 25 Sep 201828 Sep 2018

Publication series

NameCommunications in Computer and Information Science
Volume998
ISSN (Print)1865-0929

Conference

Conference9th International Conference on Computational and Information Technologies in Science, Engineering and Education, CITech 2018
CountryKazakhstan
CityUst-Kamenogorsk
Period25.09.201828.09.2018

Keywords

  • Comparative analysis
  • Continuation problem
  • Landweber’s method
  • Numerical methods
  • Regularization problem

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