Analysis of the discontinuous Galerkin finite element method applied to a scalar nonlinear convection-diffusion equation
Hozman, Jiří, Dolejší, Vít
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We deal with a scalar nonstationary convection-diffusion equation with nonlinear convective as well as diffusive terms which represents a model problem for the solution of the system of the compressible Navier-Stokes equations describing a motion of viscous compressible fluids. We present a discretization of this model equation by the discontinuous Galerkin finite element method. Moreover, under some assumptions on the nonlinear terms, domain partitions and the regularity of the exact...