The Discontinuous Galerkin FEM for Convection-Diffusion Equations
نویسنده
چکیده
Abstract. This paper is concerned with the analysis of the discontinuous Galerkin finite element method applied to nonstationary convection-diffusion problems with nonlinear convection and nonlinear diffusion. We generalize results from [2], where linear diffusion is assumed. Optimal error estimates are obtained for the L(H) norm and interelement jump terms, however due to the nonlinearity of the problem, we get only suboptimal estimates in L(L).
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