Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary Element Methods

  • Steffen Marburg
  • Bodo Nolte

Table of contents

  1. Front Matter
    Pages I-XIII
  2. A Unified Approach to Finite and Boundary Element Discretization in Linear Time–Harmonic Acoustics

  3. FEM: Numerical Aspects

    1. Front Matter
      Pages 35-35
    2. Isaac Harari
      Pages 37-56
    3. Gary Cohen, Andreas Hauck, Manfred Kaltenbacher, Toru Otsuru
      Pages 57-88
    4. James P. Tuck–Lee, Peter M. Pinsky, Haw–Ling Liew
      Pages 89-114
    5. Manfred Kaltenbacher, Max Escobar, Stefan Becker, Irfan Ali
      Pages 115-142
  4. FEM: External Problems

    1. Front Matter
      Pages 143-143
    2. Dan Givoli
      Pages 145-166
    3. Alfredo Bermúdez, Luis Hervella–Nieto, Andrés Prieto, Rodolfo Rodríguez
      Pages 167-196
    4. R Jeremy Astley
      Pages 197-230
    5. Otto von Estorff, Steffen Petersen, Daniel Dreyer
      Pages 231-250
  5. FEM: Related Problems

    1. Front Matter
      Pages 251-251
    2. Alfredo Bermúdez, Pablo Gamallo, Luis Hervella–Nieto, Rodolfo Rodríguez, Duarte Santamarina
      Pages 253-286
    3. Robert Bernhard, Shuo Wang
      Pages 287-306
  6. BEM: Numerical Aspects

    1. Front Matter
      Pages 307-307
    2. Tetsuya Sakuma, Stefan Schneider, Yosuke Yasuda
      Pages 333-366
    3. Andrew Peplow
      Pages 387-408
  7. BEM: External Problems

    1. Front Matter
      Pages 409-409
    2. Steffen Marburg, Ting–Wen Wu
      Pages 411-434
    3. Martin Ochmann, Haike Brick
      Pages 459-494
    4. Sabine Langer, Martin Schanz
      Pages 495-516
  8. BEM: Related Problems

  9. Back Matter
    Pages 573-578

About this book


Among numerical methods applied in acoustics, the Finite Element Method (FEM)  is normally favored for interior problems whereas the Boundary Element Method (BEM) is quite popular for exterior ones.

That is why this valuable reference provides a complete survey of methods for computational acoustics, namely FEM and BEM. It demonstrates that both methods can be effectively used in the complementary cases.

The chapters by well-known authors are evenly balanced: 10 chapters on FEM and 10 on BEM. An initial conceptual chapter describes the derivation of the wave equation and supplies a unified approach to FEM and BEM for the harmonic case. A categorization of the remaining chapters and a personal outlook complete this introduction. In what follows, both FEM and BEM are discussed in the context of very different problems.

Firstly, this comprises numerical issues, e.g. convergence, multi-frequency solutions and highly efficient methods; and secondly, solutions techniques for the particular difficulties that arise with external problems, e.g. discussion of absorbing boundaries for FEM and treatment of the non-uniqueness problem for BEM. Finally, both parts on FEM and on BEM are completed by chapters on related problems, e.g. formulations for fluid-structure interaction. In addition to time-harmonic problems, transient problems are considered in some chapters. Many theoretical and industrial applications are presented.

Overall, this book is a unified review of the state-of-the-art on FEM and BEM for computational acoustics.


Acoustics Burton-Miller method CHIEF Collocation method Discretization method Galerkin me absorbing boundary conditions (ABC) boundary element methods (BEM) discontinous elements fast BEM finite element methods (FEM) fluid-structure interaction

Editors and affiliations

  • Steffen Marburg
    • 1
  • Bodo Nolte
    • 2
  1. 1.Institut für FestkörpermechanikTechnische Universität DresdenDresdenGermany
  2. 2.Forschungsanstalt der Bundeswehr für Wasserschall und GeophysikKielGermany

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