Implementation of the Galerkin discontinous method in the DGM software package

Author:

Krasnov Mikhail Mikhailovich1ORCID,Ladonkina Marina Eugenievna1ORCID,Tishkin Vladimir Fedorovich1ORCID

Affiliation:

1. Keldysh Institute of Applied Mathematics

Publisher

Keldysh Institute of Applied Mathematics

Subject

General Medicine

Reference55 articles.

1. Cockburn B., Shu C-W. The Runge-Kutta discontinuous Galerkin method for conservation laws V: Multidimensional systems, J. Comput. Phys., 141 (1998), 199-224

2. Reed W.H., Hill T.R. Triangular mesh methods for the neutron transport equation // Los Alamos Scientific Laboratory Report LA-UR-73-79, 1973 United States. URL: https://www.osti.gov/servlets/purl/4491151.

3. Proceedings ECCOMAS Thematic Conference: European Conference on High Order Nonlinear Numerical Methods for Evolutionary PDEs: Theory and Applications HONOM 2017 March 27 - March 31, 2017. URL: https://honom2017.iag.uni-stuttgart.de/wp-content/uploads/2017/03/HONOM_Proceedings_Version2.pdf.

4. Ethan J. Kubatko, Joannes J. Westerink, Clint Dawson. hp Discontinuous Galerkin methods for advection dominated problems in shallow water flow // J. Comput. Methods Appl. Mech. Engrg. 196, 2006, pp 437–451.

5. Волков А.В. Особенности применения метода Галёркина к решению пространственных уравнений Навье-Стокса на неструктурированных гексаэдральных сетках // Ученые записки ЦАГИ № 6 , т. XL, 2009.

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