Communications in Mathematical Sciences

Two Types of Solution Overshoots in Discontinuous Galerkin Discretization Schemes

N. B. Petrovskaya

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.

Article information

Source
Commun. Math. Sci., Volume 3, Number 2 (2005), 235-249.

Dates
First available in Project Euclid: 14 June 2005

Permanent link to this document
https://projecteuclid.org/euclid.cms/1118778278

Mathematical Reviews number (MathSciNet)
MR2164200

Zentralblatt MATH identifier
1095.65079

Citation

Petrovskaya, N. B. Two Types of Solution Overshoots in Discontinuous Galerkin Discretization Schemes. Commun. Math. Sci. 3 (2005), no. 2, 235--249. https://projecteuclid.org/euclid.cms/1118778278


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