Titelaufnahme

Titel
Enriched Galerkin method for the shallow-water equations / M. Hauck, V. Aizinger, F. Frank, H. Hajdukc, A. Rupp
VerfasserHauck, Moritz ; Aizinger, Vadym ; Frank, Florian ; Hajduk, Hennes ; Rupp, Andreas
ErschienenDortmund : Technische Universität Dortmund, Fakultät für Mathematik, April 2020
Ausgabe
Elektronische Ressource
Umfang1 Online-Ressource (17 Seiten) : Illustrationen
SerieErgebnisberichte angewandte Mathematik ; no. 630
SchlagwörterGalerkin-Methode / Finite-Elemente-Methode
URNurn:nbn:de:hbz:6:2-1301494 
Zugänglichkeit
 Das Dokument ist öffentlich im Netz zugänglich.
Dateien
Enriched Galerkin method for the shallow-water equations [1.54 mb]
Zusammenfassung

This work presents an enriched Galerkin (EG) discretization for the two-dimensional shallow-water equations. The EG finite element spaces are obtained by extending the approximation spaces of the classical finite elements by discontinuous functions supported on elements. The simplest EG space is constructed by enriching the piecewise linear continuous Galerkin space with discontinuous, element-wise constant functions. Similarly to discontinuous Galerkin (DG) discretizations, the EG scheme is locally conservative, while, in multiple space dimensions, the EG space is significantly smaller than that of the DG method. This implies a lower number of degrees of freedom compared to the DG method. The EG discretization presented for the shallow-water equations is well-balanced, in the sense that it preserves lake-at-rest configurations. We evaluate the methods robustness and accuracy using various analytical and realistic benchmarks and compare the results to those obtained using the DG method. Finally, we briefly discuss implementation aspects of the EG method within our MATLAB /GNU Octave framework FESTUNG.

Klassifikation
Links
Nachweis
Statistik
Das PDF-Dokument wurde 1 mal heruntergeladen.
Nutzungshinweis
 Das Medienwerk ist im Rahmen des deutschen Urheberrechts nutzbar.