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2015 | OriginalPaper | Chapter

3. The Helmholtz Equation Least-Squares Method

Author : Sean F. Wu

Published in: The Helmholtz Equation Least Squares Method

Publisher: Springer New York

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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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previous chapter The Spherical Wave Functions
next chapter Validity of the HELS Method
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M. Moondra, S.F. Wu, Visualization of vehicle interior sound field using HELS based NAH. Noise Control Eng. J. 53(4), 146–154 (2005)CrossRef
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M. Moondra, S.F. Wu, Visualization of vehicle interior sound field using HELS based NAH. Noise Control Eng. J. 53(4), 146–154 (2005)CrossRef
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M. Moondra, S.F. Wu, Visualization of vehicle interior sound field using HELS based NAH. Noise Control Eng. J. 53(4), 146–154 (2005)CrossRef
Metadata
Title
The Helmholtz Equation Least-Squares Method
Author
Sean F. Wu
Copyright Year
2015
Publisher
Springer New York
Book
The Helmholtz Equation Least Squares Method

Print ISBN: 978-1-4939-1639-9

Electronic ISBN: 978-1-4939-1640-5

Copyright Year: 2015

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

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