Show simple item record

dc.contributor.authorChan, Jesse
dc.date.accessioned 2018-09-11T20:40:45Z
dc.date.available 2018-09-11T20:40:45Z
dc.date.issued 2018
dc.identifier.citation Chan, Jesse. "Weight‐adjusted discontinuous Galerkin methods: Matrix‐valued weights and elastic wave propagation in heterogeneous media." International Journal for Numerical Methods in Engineering, 113, no. 12 (2018) 1779-1809. https://doi.org/10.1002/nme.5720.
dc.identifier.urihttps://hdl.handle.net/1911/102497
dc.description.abstract Weight‐adjusted inner products are easily invertible approximations to weighted L2 inner products. These approximations can be paired with a discontinuous Galerkin (DG) discretization to produce a time‐domain method for wave propagation which is low storage, energy stable, and high‐order accurate for arbitrary heterogeneous media and curvilinear meshes. In this work, we extend weight‐adjusted DG methods to the case of matrix‐valued weights, with the linear elastic wave equation as an application. We present a DG formulation of the symmetric form of the linear elastic wave equation, with upwind‐like dissipation incorporated through simple penalty fluxes. A semidiscrete convergence analysis is given, and numerical results confirm the stability and high‐order accuracy of weight‐adjusted DG for several problems in elastic wave propagation.
dc.language.iso eng
dc.rights This is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Wiley.
dc.title Weight‐adjusted discontinuous Galerkin methods: Matrix‐valued weights and elastic wave propagation in heterogeneous media
dc.type Journal article
dc.citation.journalTitle International Journal for Numerical Methods in Engineering
dc.citation.volumeNumber 113
dc.citation.issueNumber 12
dc.contributor.publisher Wiley
dc.type.dcmi Text
dc.identifier.doihttps://doi.org/10.1002/nme.5720
dc.type.publication post-print
dc.citation.firstpage 1779
dc.citation.lastpage 1809


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record