|
Spatial approximation of the transport equation on triangle grid by the linear discontinuous finite element method
E. P. Sychugova Nuclear Safety Institute RAS, Moscow
Abstract:
The Discontinuous Finite Element Method (DFEM) is considered for solving the transport equation on triangular grid, in which the Galerkin spatial approximation with linear base functions is used. It is proposed the comparison of the numerical solution of two test problems obtained by the DFEM on triangular grid and Diamond Differencing scheme and Linear Nodal method on rectangular grid with the analytical solution.
Keywords:
transport equation, discontinuous finite element method, triangular grid, discrete ordinates, barycentric coordinates.
Received: 18.12.2014
Citation:
E. P. Sychugova, “Spatial approximation of the transport equation on triangle grid by the linear discontinuous finite element method”, Matem. Mod., 28:5 (2016), 81–94
Linking options:
https://www.mathnet.ru/eng/mm3731 https://www.mathnet.ru/eng/mm/v28/i5/p81
|
Statistics & downloads: |
Abstract page: | 307 | Full-text PDF : | 118 | References: | 45 | First page: | 12 |
|