3-D acoustic infinite element based on a prolate spheroidal mult

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395119, 364578, 364803, 36472403, G06F 1716

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056048912

ABSTRACT:
In an improvement over conventional finite element techniques, a prolate spheroidal infinite element is used for the modeling of acoustic fields in exterior, fluid-filled domains surrounding a structure. This prolate infinite element is based on a multipole expansion that describes, to arbitrary accuracy, any scattered and/or radiated field exterior to a prolate spheroid of any eccentricity. The prolate infinite elment is readily incorporated in any structural or acoustical finite element code. Structural acoustic modeling with the element is several orders of magnitude faster than modeling, at comparable accuracy, with the well-known and widely used boundary element method, at least for large-scale problems involving tens of thousands of degrees of freedom.

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Ren et al., "Comparison of Different Boundary Integral Formulations when Coupled with Finite Elements in Three Dimensions", IEEE 1988, pp. 501-507.
Yaccarino et al., "Application of Spherical Wave Expansions to Reflector Antennas Using Truncated Field Data", IEEE 1991, pp. 639-644.
Yuan, "Three-Dimensional Electromagnetic Scattering from Inhomogeneous Objects by the Hybrid Moment and Finite Element Method,", IEEE 1990, pp. 1053-1058.
Werby et al., "Broadside Resonance Scattering from Elastic Spheroids", IEEE 1989, pp. 400-406.

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