Geodesic
Spatial approximation of the transport equation on triangle grid by the linear discontinuous finite element method
Matematičeskoe modelirovanie, Tome 28 (2016) no. 5, pp. 81-94

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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.
Mots-clés : transport equation
Keywords: discontinuous finite element method, triangular grid, discrete ordinates, barycentric coordinates. 
@article{MM_2016_28_5_a5,
     author = {E. P. Sychugova},
     title = {Spatial approximation of the transport equation on triangle grid by the linear discontinuous finite element method},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {81--94},
     publisher = {mathdoc},
     volume = {28},
     number = {5},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2016_28_5_a5/}
}
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E. P. Sychugova. Spatial approximation of the transport equation on triangle grid by the linear discontinuous finite element method. Matematičeskoe modelirovanie, Tome 28 (2016) no. 5, pp. 81-94. http://geodesic.mathdoc.fr/item/MM_2016_28_5_a5/