Stability Analysis of Discontinuous Galerkin Approximations to the Elastodynamics Problem
作者： Paola F. Antonietti , Blanca Ayuso de Dios , Ilario Mazzieri , Alfio Quarteroni
DOI: 10.1007/S10915-015-0132-2
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摘要: We consider semi-discrete discontinuous Galerkin approximations of both displacement and displacement-stress formulations the elastodynamics problem. prove stability analysis in natural energy norm derive optimal a-priori error estimates. For formulation, schemes preserving total system are introduced discussed. verify our theoretical estimates on two three dimensions test problems.
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