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Adaptive piecewise constant discontinuous Galerkin methods for convection-diffusion problems
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- Bengzon, Fredrik, 1978- (author)
- Umeå universitet,Institutionen för matematik och matematisk statistik
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- Larson, Mats G (author)
- Umeå universitet,Institutionen för matematik och matematisk statistik,UMIT
- (creator_code:org_t)
- 2009
- English.
- Other publication (other academic/artistic)
Abstract
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
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- ovr (subject category)
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