High-order Discontinuous Galerkin methods for the elastodynamics equation on polygonal and polyhedral meshes

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Code:
06/2018
Title:
High-order Discontinuous Galerkin methods for the elastodynamics equation on polygonal and polyhedral meshes
Date:
Tuesday 23rd January 2018
Author(s):
Antonietti, P.F.; Mazzieri, I.
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Abstract:
We propose and analyze a Discontinuous Galerkin Finite Element Method for the approximate solution of wave propagation problems modeled by the elastodynamics equations on computational meshes made by polygonal or polyhedral elements. We analyze the well posedness of the resulting formulation, prove a-priori hp--version error estimates, and present a dispersion analysis, showing that polygonal meshes behaves as classical simplicial/quadrilateral grids in terms of dispersion properties. The theoretical estimates are then validated through two-dimensional numerical computations carried out on both benchmark as well as real test cases
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Computer methods in applied mechanics and engineering