Skip to main content

The Helmholtz Equation Least Squares Method

For Reconstructing and Predicting Acoustic Radiation

  • Book
  • © 2015


  • Covers practical aspects of noise and vibration analysis and control
  • HELS method simplifies the process of reconstructing acoustic fields
  • Explains the differences and interrelationships between the Rayleigh series and the HELS method
  • Includes supplementary material:

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

eBook USD 89.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 119.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

About this book

This book represents the HELS (Helmholtz equation least squares) theory and its applications for visualizing acoustic radiation from an arbitrarily shaped vibrating structure in free or confined space. It culminates the most updated research work of the author and his graduate students since 1997. The book contains six chapters. The first serves as a review of the fundamentals in acoustics and the rest cover five specific topics on the HELS theory.

Similar content being viewed by others


Table of contents (10 chapters)

Authors and Affiliations

  • Department of Mechanical Engineering, Wayne State University, Detroit, USA

    Sean F. Wu

About the author

Sean F. Wu received his Ph.D. from Georgia Institute of Technology, U.S.A. in 1987. He joined the Mechanical Engineering Department at Wayne State University as an Assistant Professor in 1988, was promoted to Associate Professor in 1995 and Professor in 1999, was selected in an unanimous vote as the Charles DeVlieg Professor in 2002 and appointed by the Board of Governors to the rank of University Distinguished Professor in 2005.

Dr. Wu holds the rank of Fellow in the American Society of Mechanical Engineers and the Acoustical Society of America, and serves as an Associate Editor and Express Letter Editor for the Journal of the Acoustical Society of America and Co-Editor-In-Chief for Journal of Computational Acoustics.

Bibliographic Information

Publish with us