Geodesic
Analysis of the DGFEM for nonlinear convection-diffusion problems
Electronic transactions on numerical analysis, Tome 32 (2008), pp. 33-48
The paper is concerned with the analysis of error estimates of the discontinuous Galerkin finite element method (DGFEM) for the numerical solution of nonstationary nonlinear convection-diffusion problems equipped with Dirichlet boundary conditions. First, the case of nonlinear diffusion as well as nonlinear convection is considered. Then, the optimal -error estimate is discussed in the case of nonlinear convection and linear $\textcent $###$\sterling $########§$\textcent \copyright \ddot $ diffusion.
Classification : 65M60, 76M10
Keywords: nonlinear nonstationary convection-diffusion problems, nonlinear convection, nonlinear diffusion, discontinuous Galerkin finite element method, NIPG, SIPG and IIPG versions, optimal error estimates 
@article{ETNA_2008__32__a11,
     author = {Feistauer,  Miloslav and Ku\v{c}era,  V\'aclav},
     title = {Analysis of the {DGFEM} for nonlinear convection-diffusion problems},
     journal = {Electronic transactions on numerical analysis},
     pages = {33--48},
     year = {2008},
     volume = {32},
     zbl = {1171.65070},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2008__32__a11/}
}
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AU  - Kučera,  Václav
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EP  - 48
VL  - 32
UR  - http://geodesic.mathdoc.fr/item/ETNA_2008__32__a11/
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%A Kučera,  Václav
%T Analysis of the DGFEM for nonlinear convection-diffusion problems
%J Electronic transactions on numerical analysis
%D 2008
%P 33-48
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%F ETNA_2008__32__a11
Feistauer,  Miloslav; Kučera,  Václav. Analysis of the DGFEM for nonlinear convection-diffusion problems. Electronic transactions on numerical analysis, Tome 32 (2008), pp. 33-48. http://geodesic.mathdoc.fr/item/ETNA_2008__32__a11/