Geodesic
Variational entropic regularization of discontinuous Galerkin method for gas dynamics equations
Matematičeskoe modelirovanie, Tome 31 (2019) no. 5, pp. 69-84

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A constructive version of an arbitrary accuracy discontinuous Galerkin (DG) method solving gas dynamics equations is proposed. This DG method is based on the new variational principle of entropic regularization ensuring the implementation of discrete analogs of the conservation laws of mass, momentum, total energy and entropic inequality.
Mots-clés : gasdynamic equations
Keywords: discontinuous Galerkin method, conservation laws, variational principle, entropic inequality. 
@article{MM_2019_31_5_a4,
     author = {Y. A. Kriksin and V. F. Tishkin},
     title = {Variational entropic regularization of discontinuous {Galerkin} method for gas dynamics equations},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {69--84},
     publisher = {mathdoc},
     volume = {31},
     number = {5},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2019_31_5_a4/}
}
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Y. A. Kriksin; V. F. Tishkin. Variational entropic regularization of discontinuous Galerkin method for gas dynamics equations. Matematičeskoe modelirovanie, Tome 31 (2019) no. 5, pp. 69-84. http://geodesic.mathdoc.fr/item/MM_2019_31_5_a4/