Applying discontinuous Galerkin method for solving two-dimensional advection equation on orthogonal structured grids
- Autores: Galkin D.V., Gorbenko O.Y., Leschankina T.M., Pozdyaeva N.S., Sidorenkova T.O., Khalikova K.K.
- Edição: Volume 3, Nº 23 (2015)
- Seção: Статьи
- ##submission.dateSubmitted##: 11.05.2025
- ##submission.dateAccepted##: 11.05.2025
- URL: https://ogarev-online.ru/2311-2468/article/view/291240
- ID: 291240
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Resumo
The paper considers RKDG method for solving the advection equation in two- dimensional space using the structured orthogonal grids. The authors demonstrate that the developed method has the convergence order higher than the first.
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Sobre autores
D. Galkin
Autor responsável pela correspondência
Email: ogarevonline@yandex.ru
Rússia
O. Gorbenko
Email: ogarevonline@yandex.ru
Rússia
T. Leschankina
Email: ogarevonline@yandex.ru
Rússia
N. Pozdyaeva
Email: ogarevonline@yandex.ru
Rússia
T. Sidorenkova
Email: ogarevonline@yandex.ru
Rússia
K. Khalikova
Email: ogarevonline@yandex.ru
Rússia
Bibliografia
- Cockburn B. An Introduction to the Discontinuous Galerkin Method for Convection // Dominated Problems, Advanced Numerical Approximation of Nonlinear Hyperbolic Equations (Lecture Notes in Mathematics). – 1998. – Vol. 1697. – pр. 151–268.
- Масягин В. Ф., Жалнин Р. В., Тишкин В. Ф. О применении разрывного конечно- элементного метода Галëркина для решения двумерных уравнений диффузионного типа на неструктурированных сетках // Журнал Средневолжского математического общества. – 2013. – Т. 15, № 2. – С. 59–65.
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