Geodesic
Dispersion analysis of the discontinuous Galerkin method as applied to the equations of dynamic elasticity theory
Numerical methods and programming, Tome 16 (2015) no. 3, pp. 387-496

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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. 
@article{VMP_2015_16_3_a6,
     author = {V. V. Lisitsa},
     title = {Dispersion analysis of the discontinuous {Galerkin} method as applied to the equations of dynamic elasticity theory},
     journal = {Numerical methods and programming},
     pages = {387--496},
     publisher = {mathdoc},
     volume = {16},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2015_16_3_a6/}
}
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V. V. Lisitsa. Dispersion analysis of the discontinuous Galerkin method as applied to the equations of dynamic elasticity theory. Numerical methods and programming, Tome 16 (2015) no. 3, pp. 387-496. http://geodesic.mathdoc.fr/item/VMP_2015_16_3_a6/