. "1"^^ . "Optimal Loo(L2)-error estimates for the DG method applied to nonlinear convection-diffusion problems with nonlinear diffusion" . "277217" . . "1"^^ . "0163-0563" . "Ku\u010Dera, V\u00E1clav" . . "RIV/00216208:11320/10:10057175" . "RIV/00216208:11320/10:10057175!RIV11-MSM-11320___" . "3" . . . . "This article is concerned with the analysis of the discontinuous Galerkin finite element method (DGFEM) applied to the space semidiscretization of a nonstationary convection-diffusion problem with nonlinear convection and nonlinear diffusion. Optimal estimates in the Loo(L2)-norm are derived for the symmetric interior penalty (SIPG) scheme in two dimensions. The error analysis is carried out for nonconforming triangular meshes under the assumption that the exact solution of the problem and the solution of a linearized elliptic dual problem are sufficiently regular."@en . . . . "nonlinear convection-diffusion problems; discontinuous Galerkin; optimal error estimates"@en . "P(LC06052), Z(MSM0021620839)" . "11320" . . "28"^^ . "Optimal Loo(L2)-error estimates for the DG method applied to nonlinear convection-diffusion problems with nonlinear diffusion"@en . "Numerical Functional Analysis and Optimization" . . . "31" . . "000277592500004" . "[2229DEE25B17]" . "Optimal Loo(L2)-error estimates for the DG method applied to nonlinear convection-diffusion problems with nonlinear diffusion"@en . . . . . "Optimal Loo(L2)-error estimates for the DG method applied to nonlinear convection-diffusion problems with nonlinear diffusion" . "This article is concerned with the analysis of the discontinuous Galerkin finite element method (DGFEM) applied to the space semidiscretization of a nonstationary convection-diffusion problem with nonlinear convection and nonlinear diffusion. Optimal estimates in the Loo(L2)-norm are derived for the symmetric interior penalty (SIPG) scheme in two dimensions. The error analysis is carried out for nonconforming triangular meshes under the assumption that the exact solution of the problem and the solution of a linearized elliptic dual problem are sufficiently regular." . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" .