Reduced storage nodal discontinuous Galerkin methods on semi-structured prismatic meshes

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dc.citation.firstpage775
dc.citation.issueNumber5
dc.citation.journalTitleComputers and Mathematics with Applications
dc.citation.lastpage793
dc.citation.volumeNumber73
dc.contributor.authorChan, Jesse
dc.contributor.authorWang, Zheng
dc.contributor.authorHewett, Russell J.
dc.contributor.authorWarburton, T.
dc.date.accessioned2017-02-22T21:07:15Z
dc.date.available2017-02-22T21:07:15Z
dc.date.issued2017
dc.description.abstractWe present a high order time-domain nodal discontinuous Galerkin method for wave problems on hybrid meshes consisting of both wedge and tetrahedral elements. We allow for vertically mapped wedges which can be deformed along the extruded coordinate, and present a simple method for producing quasi-uniform wedge meshes for layered domains. We show that standard mass lumping techniques result in a loss of energy stability on meshes of vertically mapped wedges, and propose an alternative which is both energy stable and efficient. High order convergence is demonstrated, and comparisons are made with existing low-storage methods on wedges. Finally, the computational performance of the method on Graphics Processing Units is evaluated.
dc.identifier.citationChan, Jesse, Wang, Zheng, Hewett, Russell J., et al.. "Reduced storage nodal discontinuous Galerkin methods on semi-structured prismatic meshes." <i>Computers and Mathematics with Applications,</i> 73, no. 5 (2017) Elsevier: 775-793. http://dx.doi.org/10.1016/j.camwa.2017.01.010.
dc.identifier.doihttp://dx.doi.org/10.1016/j.camwa.2017.01.010
dc.identifier.urihttps://hdl.handle.net/1911/93961
dc.language.isoeng
dc.publisherElsevier
dc.titleReduced storage nodal discontinuous Galerkin methods on semi-structured prismatic meshes
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpost-print
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