Application of reconstruction operators in the discontinuous galerkin method
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Date
2012
Authors
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Journal ISSN
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Publisher
Technická univerzita v Liberci, Česká republika
Abstract
This paper gives an overview of the main ingredients needed to incorporate reconstruction op- erators, as known from higher order finite volume (FV) and spectral volume (SV) schemes, into the discontinuous Galerkin (DG) method. Such an operator constructs higher order approxima- tions from the lower order DG scheme, increasing the order of convergence, while leading to a more efficient numerical scheme than the corresponding higher order DG scheme itself. We discuss theoretical, as well as implementational aspects and numerical experiments.
Description
Subject(s)
higher order reconstruction, discontinuous Galerkin, finite volumes
Citation
Item identifier
ISSN
1803-9782