Abstract

The paper is concerned with the theory of the discontinuous Galerkin finite element method for the space-time discretization of a nonlinear nonstationary convection–diffusion initial-boundary value problem. The discontinuous Galerkin method is applied separately in space and time using, in general, different space grids on different time levels and different polynomial degrees p and q in space and time dicretization. The analysis of error estimates is described.

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