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  4. Stability Analysis of Discontinuous Galerkin Approximations to the Elastodynamics Problem
 
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Stability Analysis of Discontinuous Galerkin Approximations to the Elastodynamics Problem

Publikationstyp
Journal Article
Publikationsdatum
2015-11-21
Sprache
English
Author
Antonietti, Paola F. 
Ayuso De Dios, Blanca 
Mazzieri, Ilario 
Quarteroni, Alfio 
Institut
Mathematik E-10 
TORE-URI
http://hdl.handle.net/11420/6038
Enthalten in
Journal of scientific computing 
Volume
68
Issue
1
Start Page
143
End Page
170
Citation
Journal of Scientific Computing 1 (68): 143-170 (2016)
Publisher DOI
10.1007/s10915-015-0132-2
Scopus ID
2-s2.0-84947714299
Publisher
Springer Science + Business Media B.V.
We consider semi-discrete discontinuous Galerkin approximations of both displacement and displacement-stress formulations of the elastodynamics problem. We prove the stability analysis in the natural energy norm and derive optimal a-priori error estimates. For the displacement-stress formulation, schemes preserving the total energy of the system are introduced and discussed. We verify our theoretical estimates on two and three dimensions test problems.
Schlagworte
discontinuous Galerkin methods
elastodynamics equation
stability and error analysis
DDC Class
510: Mathematik
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