An energy-based discontinuous Galerkin discretization of the elastic wave equation in second order form

An energy-based discontinuous Galerkin discretization of the elastic wave equation in second... We present an application of our general formulation (Appelö and Hagstrom (2015) [12]) to construct energy based, arbitrary order accurate, discontinuous Galerkin spatial discretizations of the linear elastic wave equation. The resulting methods are stable and, depending on the choice of numerical flux, conserve or dissipate the elastic energy. The performance of the method is demonstrated for problems with manufactured and exact solutions. Applications to more realistic problems are also presented. Implementations of the methods are freely available at Appelö and Hagstrom (2015) [19]. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computer Methods in Applied Mechanics and Engineering Elsevier

An energy-based discontinuous Galerkin discretization of the elastic wave equation in second order form

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Publisher
Elsevier
Copyright
Copyright © 2018 Elsevier B.V.
ISSN
0045-7825
eISSN
1879-2138
D.O.I.
10.1016/j.cma.2018.04.014
Publisher site
See Article on Publisher Site

Abstract

We present an application of our general formulation (Appelö and Hagstrom (2015) [12]) to construct energy based, arbitrary order accurate, discontinuous Galerkin spatial discretizations of the linear elastic wave equation. The resulting methods are stable and, depending on the choice of numerical flux, conserve or dissipate the elastic energy. The performance of the method is demonstrated for problems with manufactured and exact solutions. Applications to more realistic problems are also presented. Implementations of the methods are freely available at Appelö and Hagstrom (2015) [19].

Journal

Computer Methods in Applied Mechanics and EngineeringElsevier

Published: Aug 15, 2018

References

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