Numerical methods and programming
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


Num. Meth. Prog.:
Year:
Volume:
Issue:
Page:
Find




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

Numerical methods and programming, 2015, Volume 16, Issue 3, Pages 387–496 (Mi vmp550)  
Dispersion analysis of the discontinuous Galerkin method as applied to the equations of dynamic elasticity theory

V. V. Lisitsa

A. A. Trofimuk Institute of Petroleum Geology and Geophysics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (1966 kB)
Abstract: The dispersion analysis of the discontinuous Galerkin method as applied to the equations of dynamic elasticity theory is performed. Depending on the degrees of basis polynomials, we consider the P1, P2, and P3 formulations of this method in the case of regular triangular meshes. It is shown that, for the problems of seismic modeling, the P2 formulation is optimal, since a sufficient accuracy (the numerical dispersion does not exceed 0.05
Keywords: numerical dispersion, discontinuous Galerkin method, finite difference schemes, theory of elasticity.
Received: 30.05.2015
UDC: 550.341
Language: Russian
Citation: V. V. Lisitsa, “Dispersion analysis of the discontinuous Galerkin method as applied to the equations of dynamic elasticity theory”, Num. Meth. Prog., 16:3 (2015), 387–496
Citation in format AMSBIB
\Bibitem{Lis15}
\by V.~V.~Lisitsa
\paper Dispersion analysis of the discontinuous Galerkin method as applied to the equations of dynamic elasticity theory
\jour Num. Meth. Prog.
\yr 2015
\vol 16
\issue 3
\pages 387--496
\mathnet{http://mi.mathnet.ru/vmp550}
Linking options:
  • https://www.mathnet.ru/eng/vmp550
  • https://www.mathnet.ru/eng/vmp/v16/i3/p387
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Numerical methods and programming
    Statistics & downloads:
    Abstract page:119
    Full-text PDF :72
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024