A Spectral Element Solution of the Klein-Gordon Equation with High-Order Treatment of Time and Non-reflecting Boundary

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dc.contributor.authorNeta, Beny
dc.contributor.authorLindquist, Joseph M.
dc.contributor.authorGiraldo, Francis X.
dc.contributor.departmentApplied Mathematics (MA)
dc.date.accessioned2014-03-12T22:47:53Z
dc.date.available2014-03-12T22:47:53Z
dc.date.issued2009-12-03
dc.descriptionWave Motion 47 (2010) 289â 298en_US
dc.descriptionThe article of record as published may be found at http://dx.doi.org/10.1016/j.wavemoti.2009.11.007en_US
dc.description.abstractA spectral element (SE) implementation of the Givoli-Neta non-reflecting boundary condition (NRBC) is considered for the solution of the Klein-Gordon equation. The infinite domain is truncated via an artificial boundary B, and a high-order NRBC is applied on B. Numerical examples, in various configurations, concerning the propagation of a pressure pulse are used to demonstrate the performance of the SE implementation. Effects of time integration techniques and long term results are discussed. Specifically, we show that in order to achieve the full benefits of high-order accuracy requires balancing all errors involved; this includes the order of accuracy of the spatial discretization method, time integrators, and boundary conditions.en_US
dc.identifier.urihttps://hdl.handle.net/10945/39445
dc.relation.ispartofseriesFaculty & Researcher Publications
dc.rightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.en_US
dc.subject.authorKlein-Gordon equationen_US
dc.subject.authorHigh-orderen_US
dc.subject.authorSpectral elementsen_US
dc.subject.authorHigdonen_US
dc.subject.authorNon-reflecting boundary conditionen_US
dc.subject.authorGivoli-Netaen_US
dc.subject.authorRunge-Kuttaen_US
dc.titleA Spectral Element Solution of the Klein-Gordon Equation with High-Order Treatment of Time and Non-reflecting Boundaryen_US
dc.typeArticle
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