Nečas Center for Mathematical Modeling Optimal L∞(L2)-error estimates for the DG method applied to nonlinear convection–diffusion problems with nonlinear diffusion
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Nečas Center for Mathematical Modeling An Optimal L∞(L2) - Error Estimate for the DG Approximation of a Nonlinear Nonstationary Convection-Diffusion Problem on Nonconforming Meshes
This paper is devoted to the analysis of the discontinuous Galerkin finite element method (DGFEM) applied to the space semidiscretization of a nonlinear nonstationary convection-diffusion Dirichlet problem. General nonconforming simplicial meshes are considered and the SIPG scheme is used. Under the assumption that the exact solution is sufficiently regular an L∞(L2)-optimal error estimate is d...
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