A Spectral Element Solution of the Klein-Gordon Equation with High-Order Treatment of Time and Non-reflecting Boundary
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Authors
Neta, Beny
Lindquist, Joseph M.
Giraldo, Francis X.
Subjects
Klein-Gordon equation
High-order
Spectral elements
Higdon
Non-reflecting boundary condition
Givoli-Neta
Runge-Kutta
High-order
Spectral elements
Higdon
Non-reflecting boundary condition
Givoli-Neta
Runge-Kutta
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Date of Issue
2009-12-03
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Abstract
A 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.
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Article
Description
Wave Motion 47 (2010) 289â 298
The article of record as published may be found at http://dx.doi.org/10.1016/j.wavemoti.2009.11.007
The article of record as published may be found at http://dx.doi.org/10.1016/j.wavemoti.2009.11.007
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This 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.