Isogeometric Analysis and Non-Polynomial Enrichment for Finite Element Methods in Acoustics
Seiten
2026
CRC Press (Verlag)
978-0-367-69882-9 (ISBN)
CRC Press (Verlag)
978-0-367-69882-9 (ISBN)
- Noch nicht erschienen (ca. Mai 2026)
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FEM is limited in solving acoustical problems at high frequencies when a fixed level of discretization per wavelength is used, and the numerical error grows rapidly as frequency increases. This issue can be tackled by using high-order approximations in the method to significantly increase the range of frequencies that can be dealt with.
Frequency response is necessary to evaluate acoustic parameters such as reverberation times and the clarity of speech or music, or to auralize or visualise an acoustic field. The finite element method (FEM) can accurately capture acoustic wave propagation, interference and diffraction as well as be used for modelling sound diffusers and absorbers in the frequency domain by approximately solving the Helmholtz equation. However, FEM experiences serious limitations in solving acoustical problems at high frequencies when a fixed level of discretization per wavelength is used. In such cases the numerical error from FEM grows rapidly as frequency increases. This issue can be tackled by using high-order approximations in the method and, hence, significantly increase the range of frequencies that can be dealt with. In the last two decades the FEM for modelling acoustic fields has seen major advancements related to incorporating exponential functions in the finite element approximation and the use of non-uniform rational basis spline. The book focuses on developments in these two directions where such elements are introduced and discussed in detail for different types of applications.
This shortform book is essential for engineers seeking industrial applications and remains accessible for graduate students interested in this area of study.
Frequency response is necessary to evaluate acoustic parameters such as reverberation times and the clarity of speech or music, or to auralize or visualise an acoustic field. The finite element method (FEM) can accurately capture acoustic wave propagation, interference and diffraction as well as be used for modelling sound diffusers and absorbers in the frequency domain by approximately solving the Helmholtz equation. However, FEM experiences serious limitations in solving acoustical problems at high frequencies when a fixed level of discretization per wavelength is used. In such cases the numerical error from FEM grows rapidly as frequency increases. This issue can be tackled by using high-order approximations in the method and, hence, significantly increase the range of frequencies that can be dealt with. In the last two decades the FEM for modelling acoustic fields has seen major advancements related to incorporating exponential functions in the finite element approximation and the use of non-uniform rational basis spline. The book focuses on developments in these two directions where such elements are introduced and discussed in detail for different types of applications.
This shortform book is essential for engineers seeking industrial applications and remains accessible for graduate students interested in this area of study.
Dr Shadi Mohamed is an Associate Professor at Heriot-Watt University, Scotland, UK. Dr Ganesh Diwan is a practising acoustics engineer in UK
1. Acoustic wave equation 2. Finite element methods 3. Isogeometric Analysis 4. Enriched finite elements 5. Acoustics in Hetergeneous Media
| Erscheint lt. Verlag | 12.5.2026 |
|---|---|
| Zusatzinfo | 3 Tables, black and white; 20 Line drawings, color; 20 Illustrations, color |
| Verlagsort | London |
| Sprache | englisch |
| Maße | 138 x 216 mm |
| Themenwelt | Technik ► Bauwesen |
| Technik ► Maschinenbau | |
| ISBN-10 | 0-367-69882-X / 036769882X |
| ISBN-13 | 978-0-367-69882-9 / 9780367698829 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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