About the use of WENO-limiter in the implicit scheme for the Discontinuous Galerkin method
R. V. Zhalnin1, A. V. Maksimkin2, V. F. Masyagin3, A. I. Pantyushin4, E. E. Peskova5
| Annotation | The paper studies a technique based on the implicit scheme for discontinuous Galerkin method. WENO-limiter used to suppress oscillations on discontinuities. The <<blast waves>> problem solved for showing the viability of the proposed method. |
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| Keywords | DG, implicit schemes, gas dynamic equations, WENO-limiter |
1Head of of Applied Mathematics, Differential Equations and Theoretical Mechanics Department, Ogarev Mordovian State University, Saransk; zhrv@mrsu.ru.
2Postgraduate Student of Applied Mathematics, Differential Equations and Theoretical Mechanics Department, Ogarev Mordovian State University, Saransk; maksimkinav@appmath.mrsu.ru.
3Assistaint Lecturer of Applied Mathematics, Differential Equations and Theoretical Mechanics Department, Ogarev Mordovian State University, Saransk; masyaginvf@appmath.mrsu.ru.
4Postgraduate Student of Applied Mathematics, Differential Equations and Theoretical Mechanics Department, Ogarev Mordovian State University, Saransk; pantyushinai@appmath.mrsu.ru.
5Assistaint Lecturer of Applied Mathematics, Differential Equations and Theoretical Mechanics Department, Ogarev Mordovian State University, Saransk; peskovaee@appmath.mrsu.ru.
Citation: R. V. Zhalnin, A. V. Maksimkin, V. F. Masyagin, A. I. Pantyushin, E. E. Peskova, "[About the use of WENO-limiter in the implicit scheme for the Discontinuous Galerkin method]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,17:3 (2015) 75–81 (In Russian)
