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The Helmholtz Equation Least-Squares Method

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The Helmholtz Equation Least Squares Method

Part of the book series: Modern Acoustics and Signal Processing ((MASP))

Abstract

In engineering applications, most vibrating surfaces are of arbitrary shapes. Moreover, the environments are often nonideal such that the radiated acoustic pressure field cannot be solved by any analytic methods, including expansion theories. Therefore, approximate solutions are sought. The Helmholtz equation least-squares (HELS) method [37, 38] offers such approximate solutions to a wide variety of acoustic radiation problems encountered in practice. Note that HELS can not only be used to reconstruct but also to predict the radiated acoustic field emitted by an arbitrarily shaped vibrating body.

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Wu, S.F. (2015). The Helmholtz Equation Least-Squares Method. In: The Helmholtz Equation Least Squares Method. Modern Acoustics and Signal Processing. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-1640-5_3

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  • DOI: https://doi.org/10.1007/978-1-4939-1640-5_3

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4939-1639-9

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