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Title: A new reconstruction-enhanced discontinuous Galerkin method for time-dependent problems (English)
Author: Kučera, Václav
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Dolní Maxov, June 6-11, 2010
Issue: 2010
Pages: 125-130
Category: math
Summary: This work is concerned with the introduction of a new numerical scheme based on the discontinuous Galerkin (DG) method. We propose to follow the methodology of higher order finite volume schemes and introduce a reconstruction operator into the DG scheme. This operator constructs higher order piecewise polynomial reconstructions from the lower order DG scheme. Such a procedure was proposed already in [2] based on heuristic arguments, however we provide a rigorous derivation, which justifies the increased order of accuracy. Numerical experiments are carried out. (English)
Keyword: discontinuous Galerkin method
Keyword: reconstruction operator
Keyword: nonlinear nonstationary scalar hyperbolic equation
Keyword: Lipschitz-continuous boundary
MSC: 65M08
MSC: 65M60
MSC: 65N30
Date available: 2015-07-08T06:52:40Z
Last updated: 2015-07-08
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