Adaptive piecewise constant discontinuous Galerkin methods for convection-diffusion problems

• In this paper we present a discontinuous Galerkin method with  piecewise constant approximation for convection-diffusion type  equations. We show that if the discretization is carefully chosen, then the method is optimal in the L2 norm as well as in a  discrete energy norm measuring the normal flux across element  boundaries. We also derive a posteriori error estimates and  illustrate their effectiveness in combination with adaptive mesh  refinement on a few benchmark problems.

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

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