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Gibbsův jev v nespojité Galerkinově metodě / The Gibbs phenomenon in the discontinuous Galerkin method

The solution of the Burgers' equation computed by the standard finite element method is degraded by oscillations, which are the manifestation of the Gibbs phenomenon. In this work we study the following numerical me- thods: Discontinuous Galerkin method, stable low order schemes and the flux corrected technique method in order to prevent the undesired Gibbs phenomenon. The focus is on the reduction of severe overshoots and under- shoots and the preservation of the smoothness of the solution. We consider a simple 1D problem on the interval (0, 1) with different initial conditions to demonstrate the properties of the presented methods. The numerical results of individual methods are provided. 1

Identiferoai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:387358
Date January 2018
CreatorsStará, Lenka
ContributorsKučera, Václav, Sváček, Petr
Source SetsCzech ETDs
LanguageEnglish
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/masterThesis
Rightsinfo:eu-repo/semantics/restrictedAccess

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