Dispersion analysis of the discontinuous Galerkin method as applied to the equations of dynamic elasticity theory





numerical dispersion, discontinuous Galerkin method, finite difference schemes, theory of elasticity


A parallel implementation of a fast algorithm for solving systems of the Smoluchowski-type kinetic equations of aggregation and fragmentation processes is proposed. The efficiency and scalability of the proposed implementation are shown for several particular problems of aggregation and fragmentation kinetics. The oscillatory solutions of the Cauchy problems are found using the developed parallel algorithm in terms of total density.

Author Biography

V.V. Lisitsa


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How to Cite

Лисица В. Dispersion Analysis of the Discontinuous Galerkin Method As Applied to the Equations of Dynamic Elasticity Theory // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2015. 16. 387-406. doi 10.26089/NumMet.v16r338



Section 1. Numerical methods and applications

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