Stability Analysis of Discontinuous Galerkin Approximations to the Elastodynamics Problem

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.


Published in:
Journal Of Scientific Computing, 68, 1, 143-170
Year:
2016
Publisher:
New York, Springer Verlag
ISSN:
0885-7474
Keywords:
Laboratories:




 Record created 2016-10-18, last modified 2018-03-17


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