A Modified Infinite Element Method for Acoustic Radiation

Li, L.-X.; Sun, Jason; Sakamoto, Haruhisa

doi:10.1142/s0218396x02001437

Cited by 5 publications

(2 citation statements)

References 8 publications

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“…Note that for (14) G is independent of k. In the following, we ignore the derivatives of G with respect to k either because (14) is used or else we use the more accurate (13) but ignore the higher derivatives as being negligible for large k. The Cartesian case is the same in both sets. We then have…”

Section: Methodsmentioning

confidence: 99%

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Improved accuracy for the Helmholtz equation in unbounded domains

Turkel

Farhat

Hetmaniuk

2004

Numerical Meth Engineering

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SUMMARYBased on properties of the Helmholtz equation, we derive a new equation for an auxiliary variable. This reduces much of the oscillations of the solution leading to more accurate numerical approximations to the original unknown. Computations confirm the improved accuracy of the new models in both two and three dimensions. This also improves the accuracy when one wants the solution at neighbouring wavenumbers by using an expansion in k. We examine the accuracy for both waveguide and scattering problems as a function of k, h and the forcing mode l. The use of local absorbing boundary conditions is also examined as well as the location of the outer surface as functions of k. Connections with parabolic approximations are analysed.

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Section: Methodsmentioning

confidence: 99%

“…Reference [13]). Li et al [14] consider a similar transformation without the denominator in the context of infinite elements. However, to fully account for the fundamental solution and not just the oscillatory portion it is more accurate to include the denominator 1/kr in the transformation.…”

Section: Scatteringmentioning

confidence: 99%