University proceedings. Volga region. Physical and mathematical sciences
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



University proceedings. Volga region. Physical and mathematical sciences:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


University proceedings. Volga region. Physical and mathematical sciences, 2012, Issue 3, Pages 73–83 (Mi ivpnz475)  

Mathematics

Elastic wave diffraction on a layer with fractal density distribution

A. V. Anufrievaa, K. B. Igudesmanb, D. N. Tumakova

a Institute of Computer Science and Information Technology, Kazan Federal University, Kazan
b Institute of Mathematics and Mechanics, Kazan Federal University, Kazan
References:
Abstract: The authors consider the diffraction of elastic wave on a layer with the fractal density. The problem is reduced to a system of ordinary differential equations with linear coefficients and its analytical decision is found. The researchers numerically investigate a layer with a fractal density, find peaks of energy of the reflected wave and illustrate dependence of reflected energy from self-similar properties of the fractal density.
Keywords: diffraction, elastic wave, fractal interpolation.
Document Type: Article
UDC: 519.6, 534.26
Language: Russian
Citation: A. V. Anufrieva, K. B. Igudesman, D. N. Tumakov, “Elastic wave diffraction on a layer with fractal density distribution”, University proceedings. Volga region. Physical and mathematical sciences, 2012, no. 3, 73–83
Citation in format AMSBIB
\Bibitem{AnuIguTum12}
\by A.~V.~Anufrieva, K.~B.~Igudesman, D.~N.~Tumakov
\paper Elastic wave diffraction on a layer with fractal density distribution
\jour University proceedings. Volga region. Physical and mathematical sciences
\yr 2012
\issue 3
\pages 73--83
\mathnet{http://mi.mathnet.ru/ivpnz475}
Linking options:
  • https://www.mathnet.ru/eng/ivpnz475
  • https://www.mathnet.ru/eng/ivpnz/y2012/i3/p73
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    University proceedings. Volga region. Physical and mathematical sciences
    Statistics & downloads:
    Abstract page:32
    Full-text PDF :9
    References:14
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024