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June 2005 Two Types of Solution Overshoots in Discontinuous Galerkin Discretization Schemes
N. B. Petrovskaya
Commun. Math. Sci. 3(2): 235-249 (June 2005).

Abstract

We consider high order Discontinuous Galerkin (DG) discretization for steady state problems. It will be demonstrated that using a high order DG scheme to discretize a problem may result in two types of solution overshoots. The oscillations of the first type are associated with smooth approximation of solution discontinuities. In addition, the oscillations may appear in steady state problems as a result of incorrect flux approximation near the flux extremum point.

Citation

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N. B. Petrovskaya. "Two Types of Solution Overshoots in Discontinuous Galerkin Discretization Schemes." Commun. Math. Sci. 3 (2) 235 - 249, June 2005.

Information

Published: June 2005
First available in Project Euclid: 14 June 2005

zbMATH: 1095.65079
MathSciNet: MR2164200

Rights: Copyright © 2005 International Press of Boston

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Vol.3 • No. 2 • June 2005
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