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The book provides a survey of numerical methods for acoustics, namely the finite element method (FEM) and the boundary element method (BEM). It is the first book summarizing FEM and BEM (and optimization) for acoustics. The book shows that both methods can be effectively used for many other cases, FEM even for open domains and BEM for closed ones. Emphasis of the book is put on numerical aspects and on treatment of the exterior problem in acoustics, i.e. noise radiation.
The book provides a survey of numerical methods for acoustics, namely the finite element method (FEM) and the boundary element method (BEM). It is the first book summarizing FEM and BEM (and optimization) for acoustics. The book shows that both methods can be effectively used for many other cases, FEM even for open domains and BEM for closed ones. Emphasis of the book is put on numerical aspects and on treatment of the exterior problem in acoustics, i.e. noise radiation.
Steffen Marburg, Technische Universität Dresden, Germany / Bodo Nolte, Forschungsanstalt der Bundeswehr, Kiel, Germany
Inhaltsangabe
Part I FEM: Numerical Aspects 1 Dispersion, Pollution, and Resolution. 2 Different Types of Finite Elements. 3 Multifrequency Analysis using Matrix Pad´e–via–Lanczos. 4 Computational Aeroacoustics based on Lighthill’s Acoustic Analogy. Part II FEM: External Problems 5 Computational Absorbing Boundaries. 6 PerfectlyMatched Layers. 7 Infinite Elements. 8 Efficient Infinite Elements based on Jacobi Polynomials. Part III FEM: Related Problems 9 Fluid–Structure Acoustic Interaction. 10 Energy Finite Element Method. Part IV BEM: Numerical Aspects 11 Discretization Requirements. 12 Fast Solution Methods. 13 Multi–domain Boundary Element Method in Acoustics. 14 Waveguide Boundary Spectral Finite Elements. Part V BEM: External Problems 15 Treating the Phenomenon of Irregular Frequencies. 16 A Galerkin-type BE-formulation. 17 Acoustical Radiation and Scattering above an Impedance Plane. 18 Time Domain BEM. Part VI BEM: Related Problems 19 Coupling a Fast BEM with a FE-Formulation for Fluid–Structure Interaction. 20 Inverse BE-Techniques for the Holographic Identification of Vibro–Acoustic Source Parameters
Part I FEM: Numerical Aspects1 Dispersion, Pollution, and Resolution.2 Different Types of Finite Elements.3 Multifrequency Analysis using Matrix Pad´e-via-Lanczos.4 Computational Aeroacoustics based on Lighthill's Acoustic Analogy.Part II FEM: External Problems5 Computational Absorbing Boundaries.6 PerfectlyMatched Layers.7 Infinite Elements.8 Efficient Infinite Elements based on Jacobi Polynomials.Part III FEM: Related Problems9 Fluid-Structure Acoustic Interaction.10 Energy Finite Element Method.Part IV BEM: Numerical Aspects11 Discretization Requirements.12 Fast Solution Methods.13 Multi-domain Boundary Element Method in Acoustics.14 Waveguide Boundary Spectral Finite Elements.Part V BEM: External Problems15 Treating the Phenomenon of Irregular Frequencies.16 A Galerkin-type BE-formulation.17 Acoustical Radiation and Scattering above an Impedance Plane.18 Time Domain BEM.Part VI BEM: Related Problems19 Coupling a Fast BEM with a FE-Formulation for Fluid-Structure Interaction.20 Inverse BE-Techniques for the Holographic Identification of Vibro-Acoustic Source Parameters
Part I FEM: Numerical Aspects 1 Dispersion, Pollution, and Resolution. 2 Different Types of Finite Elements. 3 Multifrequency Analysis using Matrix Pad´e–via–Lanczos. 4 Computational Aeroacoustics based on Lighthill’s Acoustic Analogy. Part II FEM: External Problems 5 Computational Absorbing Boundaries. 6 PerfectlyMatched Layers. 7 Infinite Elements. 8 Efficient Infinite Elements based on Jacobi Polynomials. Part III FEM: Related Problems 9 Fluid–Structure Acoustic Interaction. 10 Energy Finite Element Method. Part IV BEM: Numerical Aspects 11 Discretization Requirements. 12 Fast Solution Methods. 13 Multi–domain Boundary Element Method in Acoustics. 14 Waveguide Boundary Spectral Finite Elements. Part V BEM: External Problems 15 Treating the Phenomenon of Irregular Frequencies. 16 A Galerkin-type BE-formulation. 17 Acoustical Radiation and Scattering above an Impedance Plane. 18 Time Domain BEM. Part VI BEM: Related Problems 19 Coupling a Fast BEM with a FE-Formulation for Fluid–Structure Interaction. 20 Inverse BE-Techniques for the Holographic Identification of Vibro–Acoustic Source Parameters
Part I FEM: Numerical Aspects1 Dispersion, Pollution, and Resolution.2 Different Types of Finite Elements.3 Multifrequency Analysis using Matrix Pad´e-via-Lanczos.4 Computational Aeroacoustics based on Lighthill's Acoustic Analogy.Part II FEM: External Problems5 Computational Absorbing Boundaries.6 PerfectlyMatched Layers.7 Infinite Elements.8 Efficient Infinite Elements based on Jacobi Polynomials.Part III FEM: Related Problems9 Fluid-Structure Acoustic Interaction.10 Energy Finite Element Method.Part IV BEM: Numerical Aspects11 Discretization Requirements.12 Fast Solution Methods.13 Multi-domain Boundary Element Method in Acoustics.14 Waveguide Boundary Spectral Finite Elements.Part V BEM: External Problems15 Treating the Phenomenon of Irregular Frequencies.16 A Galerkin-type BE-formulation.17 Acoustical Radiation and Scattering above an Impedance Plane.18 Time Domain BEM.Part VI BEM: Related Problems19 Coupling a Fast BEM with a FE-Formulation for Fluid-Structure Interaction.20 Inverse BE-Techniques for the Holographic Identification of Vibro-Acoustic Source Parameters
Rezensionen
From the reviews: "This book contains a review of recent developments and new results for the application of finite and boundary element methods in acoustic simulations. ... Without a doubt it will become a popular reference in the acoustic community. The volume can be highly recommended to graduate students and young researchers, as well as practitioners in the industry, as a representative compilation of recent methodical developments and interesting applications in the broad field of vibroacoustic simulation." (Frank Ihlenburg, Acta Acustica United With Acustica, Vol. 95 (4), 2009)
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