finite element analysis of acoustic scattering applied mathematical sciences

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Finite Element Analysis Of Acoustic Scattering

Author : Frank Ihlenburg
ISBN : 9780387227009
Genre : Mathematics
File Size : 59. 17 MB
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A cognitive journey towards the reliable simulation of scattering problems using finite element methods, with the pre-asymptotic analysis of Galerkin FEM for the Helmholtz equation with moderate and large wave number forming the core of this book. Starting from the basic physical assumptions, the author methodically develops both the strong and weak forms of the governing equations, while the main chapter on finite element analysis is preceded by a systematic treatment of Galerkin methods for indefinite sesquilinear forms. In the final chapter, three dimensional computational simulations are presented and compared with experimental data. The author also includes broad reference material on numerical methods for the Helmholtz equation in unbounded domains, including Dirichlet-to-Neumann methods, absorbing boundary conditions, infinite elements and the perfectly matched layer. A self-contained and easily readable work.

Numerical Simulations In Room Acoustics Using Direct Coupling Techniques And Finite Elements

Author : Martina Pospiech
ISBN : 9783832531393
Genre :
File Size : 49. 87 MB
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This thesis presents a coupling approach for time-harmonic problems in linear room acoustics. Therein the closed acoustic system is subdivided into air, sound source and different boundary components. The sound field of each air component is approximated with the help of modal basis functions and continuous transitions between single components are enabled by enforcing coupling conditions. Coupling to realistic boundary conditions is realized by wavenumber- and frequency-dependent impedance functions for plate-like sound absorbers. Afterwards the solution is computed by minimizing the energy based on Hamilton's Principle. For computing the basis functions and the energies of the components the Spectral Finite Element Method and the adapted Patch Recovery Method are applied. Finally numerical benchmark-simulations show the applications of this coupling approach.

Modern Solvers For Helmholtz Problems

Author : Domenico Lahaye
ISBN : 9783319288321
Genre : Mathematics
File Size : 23. 12 MB
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This edited volume offers a state of the art overview of fast and robust solvers for the Helmholtz equation. The book consists of three parts: new developments and analysis in Helmholtz solvers, practical methods and implementations of Helmholtz solvers, and industrial applications. The Helmholtz equation appears in a wide range of science and engineering disciplines in which wave propagation is modeled. Examples are: seismic inversion, ultrasone medical imaging, sonar detection of submarines, waves in harbours and many more. The partial differential equation looks simple but is hard to solve. In order to approximate the solution of the problem numerical methods are needed. First a discretization is done. Various methods can be used: (high order) Finite Difference Method, Finite Element Method, Discontinuous Galerkin Method and Boundary Element Method. The resulting linear system is large, where the size of the problem increases with increasing frequency. Due to higher frequencies the seismic images need to be more detailed and, therefore, lead to numerical problems of a larger scale. To solve these three dimensional problems fast and robust, iterative solvers are required. However for standard iterative methods the number of iterations to solve the system becomes too large. For these reason a number of new methods are developed to overcome this hurdle. The book is meant for researchers both from academia and industry and graduate students. A prerequisite is knowledge on partial differential equations and numerical linear algebra.

Computer Methods In Mechanics

Author : Mieczyslaw Kuczma
ISBN : 9783642052415
Genre : Technology & Engineering
File Size : 78. 76 MB
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Prominent scientists present the latest achievements in computational methods and mechanics in this book. These lectures were held at the CMM 2009 conference.

Biomedical Applications Of Vibration And Acoustics For Imaging And Characterisations

Author : Mostafa Fatemi
ISBN : STANFORD:36105130544310
Genre : Medical
File Size : 88. 21 MB
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The primary objective of this book is to compile the research topics on biomedical imaging and tissue characterisation techniques that utilise vibration and acoustics.

Philosophical Transactions

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ISBN : UCSD:31822033900614
Genre : Physical sciences
File Size : 37. 30 MB
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Finite Element Methods For Maxwell S Equations

Author : Peter Monk
ISBN : 0198508883
Genre : Mathematics
File Size : 31. 88 MB
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The emphasis in on finite element methods for scattering problems that involve the solution of Maxwell's equations on infinite domains. Suitable variational formulations are developed and justified mathematically. An error analysis of edge finite element methods that are particularly well suited to Maxwell's equations is the main focus of the book.

Issues In Logic Operations And Computational Mathematics And Geometry 2011 Edition

Author :
ISBN : 9781464964787
Genre : Mathematics
File Size : 38. 99 MB
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Issues in Logic, Operations, and Computational Mathematics and Geometry: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Logic, Operations, and Computational Mathematics and Geometry. The editors have built Issues in Logic, Operations, and Computational Mathematics and Geometry: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Logic, Operations, and Computational Mathematics and Geometry in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Logic, Operations, and Computational Mathematics and Geometry: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Books In Print

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ISBN : UOM:39015054023182
Genre : American literature
File Size : 49. 71 MB
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Books in print is the major source of information on books currently published and in print in the United States. The database provides the record of forthcoming books, books in-print, and books out-of-print.

Recent Developments In Domain Decomposition Methods

Author : Luca F. Pavarino
ISBN : 3540434135
Genre : Computers
File Size : 30. 49 MB
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The main goal of this book is to provide an overview of some of the developments in the field of domain decomposition methods. Papers reflect some of the most active research areas in domain decomposition such as novel FETI, Neumann-Neumann, overlapping Schwarz and Mortar methods.

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