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Finite Differences and Finite Elements

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Computational Ocean Acoustics

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

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Abstract

In the preceding chapters, we have described the numerical solution techniques most commonly applied in ocean-acoustic propagation modeling. One or more of these approaches are numerically efficient for the majority of forward problems occurring in underwater acoustics, including propagation over very long ranges, with or without lateral variations in the environment. However, the numerical efficiency of these approaches is obtained by sacrificing generality through the various assumptions and approximations applied.

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Notes

  1. 1.

    It should be noted that the summation convention for repeated indices does not apply to (7.202), (7.203), (7.205), and (7.206).

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Author information

Authors and Affiliations

  1. NATO Undersea Research Centre, Viale San Bartolomeo 400, La Spezia, 19126, Italy

    Finn B. Jensen

  2. Marine Physical Lab., Scripps Institution of Oceanography, Mail Code 0205 Gilman Dr. 9500, La Jolla, CA, 92093-0238, USA

    William A. Kuperman

  3. Heat, Light, and Sound Research, Inc., 3366 North Torrey Pines Court, Suite 310, La Jolla, CA, 92037, USA

    Michael B. Porter

  4. Massachusetts Institute of Technology (MIT), Massachusetts Avenue 77, Cambridge, MA, 02139, USA

    Henrik Schmidt

Authors
  1. Finn B. Jensen
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  2. William A. Kuperman
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  3. Michael B. Porter
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  4. Henrik Schmidt
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Correspondence to Finn B. Jensen .

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Jensen, F.B., Kuperman, W.A., Porter, M.B., Schmidt, H. (2011). Finite Differences and Finite Elements. In: Computational Ocean Acoustics. Modern Acoustics and Signal Processing. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8678-8_7

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  • DOI: https://doi.org/10.1007/978-1-4419-8678-8_7

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