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An Amplitude Finite Element Formulation For High Frequency Acoustic Scattering Problems
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Book Synopsis An Amplitude Finite Element Formulation for High-frequency Acoustic Scattering Problems by : Jacob Bedrossian
Download or read book An Amplitude Finite Element Formulation for High-frequency Acoustic Scattering Problems written by Jacob Bedrossian and published by . This book was released on 2007 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Finite Element Analysis of Acoustic Scattering by : Frank Ihlenburg
Download or read book Finite Element Analysis of Acoustic Scattering written by Frank Ihlenburg and published by Springer Science & Business Media. This book was released on 2006-03-29 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Finite Element and Boundary Methods in Structural Acoustics and Vibration by : Noureddine Atalla
Download or read book Finite Element and Boundary Methods in Structural Acoustics and Vibration written by Noureddine Atalla and published by CRC Press. This book was released on 2015-04-17 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Effectively Construct Integral Formulations Suitable for Numerical ImplementationFinite Element and Boundary Methods in Structural Acoustics and Vibration provides a unique and in-depth presentation of the finite element method (FEM) and the boundary element method (BEM) in structural acoustics and vibrations. It illustrates the principles using a
Book Synopsis The Scaled Boundary Finite Element Method by : Chongmin Song
Download or read book The Scaled Boundary Finite Element Method written by Chongmin Song and published by John Wiley & Sons. This book was released on 2018-06-19 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: An informative look at the theory, computer implementation, and application of the scaled boundary finite element method This reliable resource, complete with MATLAB, is an easy-to-understand introduction to the fundamental principles of the scaled boundary finite element method. It establishes the theory of the scaled boundary finite element method systematically as a general numerical procedure, providing the reader with a sound knowledge to expand the applications of this method to a broader scope. The book also presents the applications of the scaled boundary finite element to illustrate its salient features and potentials. The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation covers the static and dynamic stress analysis of solids in two and three dimensions. The relevant concepts, theory and modelling issues of the scaled boundary finite element method are discussed and the unique features of the method are highlighted. The applications in computational fracture mechanics are detailed with numerical examples. A unified mesh generation procedure based on quadtree/octree algorithm is described. It also presents examples of fully automatic stress analysis of geometric models in NURBS, STL and digital images. Written in lucid and easy to understand language by the co-inventor of the scaled boundary element method Provides MATLAB as an integral part of the book with the code cross-referenced in the text and the use of the code illustrated by examples Presents new developments in the scaled boundary finite element method with illustrative examples so that readers can appreciate the significant features and potentials of this novel method—especially in emerging technologies such as 3D printing, virtual reality, and digital image-based analysis The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation is an ideal book for researchers, software developers, numerical analysts, and postgraduate students in many fields of engineering and science.
Book Synopsis Progress in Computational Physics (PiCP) by : Matthias Ehrhardt
Download or read book Progress in Computational Physics (PiCP) written by Matthias Ehrhardt and published by Bentham Science Publishers. This book was released on 2010-11-13 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress in Computational Physics is a new e-book series devoted to recent research trends in computational physics. It contains chapters contributed by outstanding experts of modeling of physical problems. The series focuses on interdisciplinary computat
Book Synopsis Hybrid Smoothed Finite Element Method for Two-dimensional Underwater Acoustic Scattering Problems by :
Download or read book Hybrid Smoothed Finite Element Method for Two-dimensional Underwater Acoustic Scattering Problems written by and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Design Sensitivity Analysis and Optimization of High Frequency Structural-acoustic Problems Using Energy Finite Element Method and Energy Boundary Element Method by : Jun Dong
Download or read book Design Sensitivity Analysis and Optimization of High Frequency Structural-acoustic Problems Using Energy Finite Element Method and Energy Boundary Element Method written by Jun Dong and published by . This book was released on 2004 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Finite Element Analysis of Seismic Scattering Problems by : Steven Milton Day
Download or read book Finite Element Analysis of Seismic Scattering Problems written by Steven Milton Day and published by . This book was released on 1977 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Use of the Finite Element Method for the Modeling of Acoustic Scattering from One-dimensional Rough Fluid-poroelastic Interfaces by : Anthony Lucas Bonomo
Download or read book On the Use of the Finite Element Method for the Modeling of Acoustic Scattering from One-dimensional Rough Fluid-poroelastic Interfaces written by Anthony Lucas Bonomo and published by . This book was released on 2014 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: A poroelastic finite element formulation originally derived for modeling porous absorbing material in air is adapted to the problem of acoustic scattering from a poroelastic seafloor with a one-dimensional randomly rough interface. The developed formulation is verified through calculation of the plane wave reflection coefficient for the case of a flat surface and comparison with the well known analytical solution. The scattering strengths are then obtained for two different sets of material properties and roughness parameters using a Monte Carlo approach. These numerical results are compared with those given by three analytic scattering models---perturbation theory, the Kirchhoff approximation, and the small-slope approximation---and from those calculated using two finite element formulations where the sediment is modeled as an acoustic fluid.
Book Synopsis Finite Element Applications in Acoustics by : Mounir M. Kamal
Download or read book Finite Element Applications in Acoustics written by Mounir M. Kamal and published by . This book was released on 1981 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Book Synopsis Finite Element and Domain Decomposition Methods for Acoustic Scattering Problems by : Antonini Puppin-Macedo
Download or read book Finite Element and Domain Decomposition Methods for Acoustic Scattering Problems written by Antonini Puppin-Macedo and published by . This book was released on 1999 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Spectral Finite Element Method on Non-conforming Meshes by : Ryan Galagusz
Download or read book A Spectral Finite Element Method on Non-conforming Meshes written by Ryan Galagusz and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "Computational electromagnetics--the solution of Maxwell's equations using computers--is a key component of the modern design cycle for a wide variety of electrical engineering devices. These include, but are not limited to, antennas, microwave devices, photonic crystals, optical waveguides, and electric machines. This wide range of devices demonstrates the predictive power of the theory of electromagnetism and the need to accurately analyze Maxwell's equations in situations for which classical mathematical techniques are ineffective. This thesis describes a high accuracy finite element method suitable for solving Poisson and Helmholtz problems, which arise from Maxwell's equations. High accuracy finite element methods are particularly useful for high frequency electromagnetic scattering problems. This is because experimental and theoretical results regarding dispersion errors for finite element methods applied to the Helmholtz problem indicate that an effective approach to control dispersion is to increase the polynomial degree of the finite element model as a function of element size and frequency. Increasing the polynomial degree where solutions are smooth leads to high accuracy. However, there are difficulties associated with the solution of the resulting linear systems when the polynomial degree increases. This tends to limit the extent to which high degree polynomial modeling is adopted in practice.To circumvent these difficulties, this thesis develops, from first principles, a high accuracy one-dimensional finite element method that exploits Legendre polynomial expansions and the associated fast Legendre transform. The method is extended to higher dimensions, and implemented and tested in two dimensions, by developing a systematic approach to enforce inter-element continuity. This approach allows for both arbitrary refinement of local polynomial degree and non-conforming mesh refinement. The method proposed in this thesis is capable of computing solutions to a user specified tolerance--potentially as stringent as machine precision--efficiently. All element-wise computations are performed with near linear computational complexity, which allows for the use of high polynomial degree to achieve high accuracy. The developed method is efficient because it consists of a domain decomposition method that fully exploit these fast element-wise computations. As long as the coupling between domains in the decomposition increases in such a way as to control dispersion errors, the method can be applied to compute high accuracy solutions while only solving systems that are much smaller than the total number of unknowns. The thesis demonstrates this behavior on several electromagnetic problems, including beam steering by lenses and photonic crystal waveguides, and radar cross section computation for dielectric, perfect electric conductor, and electromagnetic cloak scatterers." --
Book Synopsis Scattering, Two-Volume Set by : E. R. Pike
Download or read book Scattering, Two-Volume Set written by E. R. Pike and published by Elsevier. This book was released on 2001-10-09 with total page 1831 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scattering is the collision of two objects that results in a change of trajectory and energy. For example, in particle physics, such as electrons, photons, or neutrons are "scattered off" of a target specimen, resulting in a different energy and direction. In the field of electromagnetism, scattering is the random diffusion of electromagnetic radiation from air masses is an aid in the long-range sending of radio signals over geographic obstacles such as mountains. This type of scattering, applied to the field of acoustics, is the spreading of sound in many directions due to irregularities in the transmission medium. Volume I of Scattering will be devoted to basic theoretical ideas, approximation methods, numerical techniques and mathematical modeling. Volume II will be concerned with basic experimental techniques, technological practices, and comparisons with relevant theoretical work including seismology, medical applications, meteorological phenomena and astronomy. This reference will be used by researchers and graduate students in physics, applied physics, biophysics, chemical physics, medical physics, acoustics, geosciences, optics, mathematics, and engineering. This is the first encyclopedic-range work on the topic of scattering theory in quantum mechanics, elastodynamics, acoustics, and electromagnetics. It serves as a comprehensive interdisciplinary presentation of scattering and inverse scattering theory and applications in a wide range of scientific fields, with an emphasis, and details, up-to-date developments. Scattering also places an emphasis on the problems that are still in active current research. The first interdisciplinary reference source on scattering to gather all world expertise in this technique Covers the major aspects of scattering in a common language, helping to widening the knowledge of researchers across disciplines The list of editors, associate editors and contributors reads like an international Who's Who in the interdisciplinary field of scattering
Download or read book Oceanic Abstracts written by and published by . This book was released on 1993-12 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Solution of High Frequency Acoustic Scattering Problems by : Mosiamis Mokgolele
Download or read book Numerical Solution of High Frequency Acoustic Scattering Problems written by Mosiamis Mokgolele and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Finite Element Approach for Wave Propagation in Elastic Solids by : Arkadiusz Żak
Download or read book A Finite Element Approach for Wave Propagation in Elastic Solids written by Arkadiusz Żak and published by Springer Nature. This book was released on with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:
