Weight‐adjusted discontinuous Galerkin methods: Matrix‐valued weights and elastic wave propagation in heterogeneous media

dc.citation.firstpage1779en_US
dc.citation.issueNumber12en_US
dc.citation.journalTitleInternational Journal for Numerical Methods in Engineeringen_US
dc.citation.lastpage1809en_US
dc.citation.volumeNumber113en_US
dc.contributor.authorChan, Jesseen_US
dc.date.accessioned2018-09-11T20:40:45Zen_US
dc.date.available2018-09-11T20:40:45Zen_US
dc.date.issued2018en_US
dc.description.abstractWeight‐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.en_US
dc.identifier.citationChan, Jesse. "Weight‐adjusted discontinuous Galerkin methods: Matrix‐valued weights and elastic wave propagation in heterogeneous media." <i>International Journal for Numerical Methods in Engineering,</i> 113, no. 12 (2018) Wiley: 1779-1809. https://doi.org/10.1002/nme.5720.en_US
dc.identifier.doihttps://doi.org/10.1002/nme.5720en_US
dc.identifier.urihttps://hdl.handle.net/1911/102497en_US
dc.language.isoengen_US
dc.publisherWileyen_US
dc.rightsThis is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Wiley.en_US
dc.titleWeight‐adjusted discontinuous Galerkin methods: Matrix‐valued weights and elastic wave propagation in heterogeneous mediaen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpost-printen_US
Files
Original bundle
Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
1701.00215.pdf
Size:
1.98 MB
Format:
Adobe Portable Document Format
Description: