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Author : Vrushali Bokil
Publisher :
Page : 450 pages
File Size : 16,78 MB
Release : 2003
Category : Wave mechanics
ISBN :
Author : Thomas L. Geers
Publisher : Springer Science & Business Media
Page : 335 pages
File Size : 23,10 MB
Release : 2013-03-09
Category : Technology & Engineering
ISBN : 9401590958
This volume constitutes the proceedings of the 1997 IUTAM Symposium, where invited researchers in acoustics, aeronautics, elastodynamics, electromagnetics, hydrodynamics, and mathematics discussed non-reflecting computational boundaries. The participants formulated benchmark problems for evaluating computational boundaries, as described in the first article.
Author : Nikolaos A. Kampanis
Publisher : CRC Press
Page : 707 pages
File Size : 22,31 MB
Release : 2008-02-25
Category : Mathematics
ISBN : 1420010875
Due to the increase in computational power and new discoveries in propagation phenomena for linear and nonlinear waves, the area of computational wave propagation has become more significant in recent years. Exploring the latest developments in the field, Effective Computational Methods for Wave Propagation presents several modern, valuable
Author : Lutz Lehmann
Publisher : Springer Science & Business Media
Page : 185 pages
File Size : 15,39 MB
Release : 2007-05-24
Category : Science
ISBN : 3540711090
This book presents theoretical fundamentals and applications of a new numerical model that has the ability to simulate wave propagation. Coverage examines linear waves in ideal fluids and elastic domains. In addition, the book includes a numerical simulation of wave propagation based on scalar and vector wave equations, as well as fluid-structure interaction and soil-structure interaction.
Author : Mark Ainsworth
Publisher : Springer Science & Business Media
Page : 408 pages
File Size : 45,42 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 3642554830
These ten detailed and authoritative survey articles on numerical methods for direct and inverse wave propagation problems are written by leading experts. Researchers and practitioners in computational wave propagation, from postgraduate level onwards, will find the breadth and depth of coverage of recent developments a valuable resource. The articles describe a wide range of topics on the application and analysis of methods for time and frequency domain PDE and boundary integral formulations of wave propagation problems. Electromagnetic, seismic and acoustic equations are considered. Recent developments in methods and analysis ranging from finite differences to hp-adaptive finite elements, including high-accuracy and fast methods are described with extensive references.
Author :
Publisher :
Page : pages
File Size : 50,36 MB
Release : 2004
Category :
ISBN :
Many engineering problems (e.g. soil-structure interaction, medical imaging and nondestructive evaluation) encounter the phenomena of wave propagation. Among these problems some involve domains of infinite extent. Standard numerical methods such as finite element and finite difference methods cannot handle the unbounded domain as they are designed for the analysis of bounded domains. In order to solve an unbounded-domain problem, the domain is truncated around a region of interest, and absorbing boundary conditions (ABCs) are applied on the truncation boundary. These ABCs are expected to absorb outgoing waves and mimic the effect of the truncated exterior. Continued-fraction absorbing boundary conditions (CFABCs) are a class of highly efficient ABCs for modeling acoustic wave absorption into unbounded domains. The current versions of CFABCs are applicable only to non-dispersive scalar wave equation and are not effective for dispersive or elastic wave propagation problems. This dissertation contains extensions of CFABCs to dispersive and elastic wave propagation problems. The main difficulty in the case of dispersive wave propagation is that evanescent waves have significant presence and are not treated accurately by original CFABCs. In the first part of the dissertation, CFABCs are modified to effectively absorb propagating as well as evanescent waves. This is achieved with the help of special padding elements that absorb the evanescent waves and standard CFABC elements that are effective in absorbing propagating waves. Called the "padded CFABC", this combination is shown to be a highly efficient and accurate ABC for dispersive wave equations. Numerical results are presented to illustrate the effectiveness of these ABCs. The second part of the dissertation involves the extension of CFABCs to elastic wave propagation problems. Elastic wave propagation is inherently complex because of the strong coupling of pressure and shear waves that propagate at different speeds.
Author : Gary Cohen
Publisher : Springer Science & Business Media
Page : 355 pages
File Size : 39,75 MB
Release : 2013-04-17
Category : Science
ISBN : 366204823X
"To my knowledge [this] is the first book to address specifically the use of high-order discretizations in the time domain to solve wave equations. [...] I recommend the book for its clear and cogent coverage of the material selected by its author." --Physics Today, March 2003
Author : Ivan Graham
Publisher : Walter de Gruyter
Page : 328 pages
File Size : 19,9 MB
Release : 2013-10-14
Category : Mathematics
ISBN : 3110282283
This book is the third volume of three volume series recording the "Radon Special Semester 2011 on Multiscale Simulation & Analysis in Energy and the Environment" taking place in Linz, Austria, October 3-7, 2011. This book surveys recent developments in the analysis of wave propagation problems. The topics covered include aspects of the forward problem and problems in inverse problems, as well as applications in the earth sciences. Wave propagation problems are ubiquitous in environmental applications such as seismic analysis, acoustic and electromagnetic scattering. The design of efficient numerical methods for the forward problem, in which the scattered field is computed from known geometric configurations is very challenging due to the multiscale nature of the problems. Even more challenging are inverse problems where material parameters and configurations have to be determined from measurements in conjunction with the forward problem. This book contains review articles covering several state-of-the-art numerical methods for both forward and inverse problems. This collection of survey articles focusses on the efficient computation of wave propagation and scattering is a core problem in numerical mathematics, which is currently of great research interest and is central to many applications in energy and the environment. Two generic applications which resonate strongly with the central aims of the Radon Special Semester 2011 are forward wave propagation in heterogeneous media and seismic inversion for subsurface imaging. As an example of the first application, modelling of absorption and scattering of radiation by clouds, aerosol and precipitation is used as a tool for interpretation of (e.g.) solar, infrared and radar measurements, and as a component in larger weather/climate prediction models in numerical weather forecasting. As an example of the second application, inverse problems in wave propagation in heterogeneous media arise in the problem of imaging the subsurface below land or marine deposits. The book records the achievements of Workshop 3 "Wave Propagation and Scattering, Inverse Problems and Applications in Energy and the Environment". It brings together key numerical mathematicians whose interest is in the analysis and computation of wave propagation and scattering problems, and in inverse problems, together with practitioners from engineering and industry whose interest is in the applications of these core problems.
Author : Gary Cohen
Publisher : Springer
Page : 393 pages
File Size : 36,46 MB
Release : 2016-08-05
Category : Technology & Engineering
ISBN : 9401777616
This monograph presents numerical methods for solving transient wave equations (i.e. in time domain). More precisely, it provides an overview of continuous and discontinuous finite element methods for these equations, including their implementation in physical models, an extensive description of 2D and 3D elements with different shapes, such as prisms or pyramids, an analysis of the accuracy of the methods and the study of the Maxwell’s system and the important problem of its spurious free approximations. After recalling the classical models, i.e. acoustics, linear elastodynamics and electromagnetism and their variational formulations, the authors present a wide variety of finite elements of different shapes useful for the numerical resolution of wave equations. Then, they focus on the construction of efficient continuous and discontinuous Galerkin methods and study their accuracy by plane wave techniques and a priori error estimates. A chapter is devoted to the Maxwell’s system and the important problem of its spurious-free approximations. Treatment of unbounded domains by Absorbing Boundary Conditions (ABC) and Perfectly Matched Layers (PML) is described and analyzed in a separate chapter. The two last chapters deal with time approximation including local time-stepping and with the study of some complex models, i.e. acoustics in flow, gravity waves and vibrating thin plates. Throughout, emphasis is put on the accuracy and computational efficiency of the methods, with attention brought to their practical aspects.This monograph also covers in details the theoretical foundations and numerical analysis of these methods. As a result, this monograph will be of interest to practitioners, researchers, engineers and graduate students involved in the numerical simulationof waves.
Author : D. Givoli
Publisher : Elsevier
Page : 316 pages
File Size : 15,12 MB
Release : 2013-10-22
Category : Mathematics
ISBN : 1483291081
This volume reviews and discusses the main numerical methods used today for solving problems in infinite domains. It also presents in detail one very effective method in this class, namely the Dirichlet-to-Neumann (DtN) finite element method. The book is intended to provide the researcher or engineer with the state-of-the-art in numerical solution methods for infinite domain problems, such as the problems encountered in acoustics and structural acoustics, fluid dynamics, meteorology, and many other fields of application. The emphasis is on the fundamentals of the various methods, and on reporting recent progress and forecasting future directions. An appendix at the end of the book provides an introduction to the essentials of the finite element method, and suggests a short list of texts on the subject which are categorized by their level of mathematics.