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Num. Meth. Prog., 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

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.

Full text: PDF file (1966 kB)
UDC: 550.341
Received: 30.05.2015

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}


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