Fast Wavelet Transforms Of Boundary Element Matrices
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Fast Wavelet Transforms Of Boundary Element Matrices
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Author : David Michael Bond
language : en
Publisher:
Release Date : 1995
Fast Wavelet Transforms Of Boundary Element Matrices written by David Michael Bond and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Fast Wavelet Transforms For Matrices Arising From Boundary Element Methods
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Author : Dave M. Bond
language : en
Publisher:
Release Date : 1994
Fast Wavelet Transforms For Matrices Arising From Boundary Element Methods written by Dave M. Bond and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Boundary element methods categories.
The Boundary Element Method Volume 1
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Author : L. C. Wrobel
language : en
Publisher: John Wiley & Sons
Release Date : 2002-04-22
The Boundary Element Method Volume 1 written by L. C. Wrobel and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-04-22 with Technology & Engineering categories.
The boundary element method (BEM) is a modern numerical techniquewhich has enjoyed increasing popularity over the last two decades,and is now an established alternative to traditional computationalmethods of engineering analysis. The main advantage of the BEM isits unique ability to provide a complete solution in terms ofboundary values only, with substantial savings in modelling effort. This two-volume book set is designed to provide the readers with acomprehensive and up-to-date account of the boundary element methodand its application to solving engineering problems. Each volume isa self-contained book including a substantial amount of materialnot previously covered by other text books on the subject. Volume 1covers applications to heat transfer, acoustics, electrochemistryand fluid mechanics problems, while volume 2 concentrates on solidsand structures, describing applications to elasticity, plasticity,elastodynamics, fracture mechanics and contact analysis. The earlychapters are designed as a teaching text for final yearundergraduate courses. Both volumes reflect the experience of theauthors over a period of more than twenty years of boundary element research. This volume, Applications in Thermo-Fluids and Acoustics, provides acomprehensive presentation of the BEM from fundamentals to advancedengineering applications and encompasses: Steady and transient heat transfer Potential and viscous fluid flows Frequency and time-domain acoustics Corrosion and other electrochemical problems. A unique feature of this book is an in-depth presentation of BEMformulations in all the above fields, including detaileddiscussions of the basic theory, numerical algorithms and practicalengineering applications of the method. Written by an internationally recognised authority in the field,this is essential reading for postgraduates, researchers andpractitioners in civil, mechanical and chemical engineering andapplied mathematics.
The Fast Solution Of Boundary Integral Equations
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Author : Sergej Rjasanow
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-17
The Fast Solution Of Boundary Integral Equations written by Sergej Rjasanow and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-17 with Mathematics categories.
Boundary Element Methods (BEM) play an important role in modern numerical computations in the applied and engineering sciences. These methods turn out to be powerful tools for numerical studies of various physical phenomena which can be described mathematically by partial differential equations. The most prominent example is the potential equation (Laplace equation), which is used to model physical phenomena in electromagnetism, gravitation theory, and in perfect fluids. A further application leading to the Laplace equation is the model of steady state heat flow. One of the most popular applications of the BEM is the system of linear elastostatics, which can be considered in both bounded and unbounded domains. A simple model for a fluid flow, the Stokes system, can also be solved by the use of the BEM. The most important examples for the Helmholtz equation are the acoustic scattering and the sound radiation. The Fast Solution of Boundary Integral Equations provides a detailed description of fast boundary element methods which are based on rigorous mathematical analysis. In particular, a symmetric formulation of boundary integral equations is used, Galerkin discretisation is discussed, and the necessary related stability and error estimates are derived. For the practical use of boundary integral methods, efficient algorithms together with their implementation are needed. The authors therefore describe the Adaptive Cross Approximation Algorithm, starting from the basic ideas and proceeding to their practical realization. Numerous examples representing standard problems are given which underline both theoretical results and the practical relevance of boundary element methods in typical computations.
The Numerical Solution Of Integral Equations Of The Second Kind
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Author : Kendall E. Atkinson
language : en
Publisher: Cambridge University Press
Release Date : 1997-06-28
The Numerical Solution Of Integral Equations Of The Second Kind written by Kendall E. Atkinson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-06-28 with Mathematics categories.
This book provides an extensive introduction to the numerical solution of a large class of integral equations.
Matrix Preconditioning Techniques And Applications
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Author : Ke Chen
language : en
Publisher: Cambridge University Press
Release Date : 2005-07-14
Matrix Preconditioning Techniques And Applications written by Ke Chen and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-14 with Mathematics categories.
A comprehensive introduction to preconditioning techniques, now an essential part of successful and efficient iterative solutions of matrices.
Boundary Elements And Other Mesh Reduction Methods Xxxvii
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Author : C.A. Brebbia
language : en
Publisher: WIT Press
Release Date : 2014-09-08
Boundary Elements And Other Mesh Reduction Methods Xxxvii written by C.A. Brebbia and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-08 with Mathematics categories.
Since 1978 the conference on Boundary Elements and Mesh Reduction Methods has produced a successful series of volumes in which all major developments in the field have been presented. The 37th volume in the series continues this success by bringing together the latest advanced research carried out by different groups around the world. The included papers cover topics such as: Advanced meshless and mesh reduction methods; Advanced formulations; Computational methods; Stochastic modelling; Emerging applications; Solid mechanics applications; Dynamics and vibrations; Damage mechanics and fracture; Material characterisation; Fluid flow modelling; Electrical engineering and electromagnetics; Heat and mass transfer.
Wavelet Transforms And Time Frequency Signal Analysis
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Author : Lokenath Debnath
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Wavelet Transforms And Time Frequency Signal Analysis written by Lokenath Debnath and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
The last fifteen years have produced major advances in the mathematical theory of wavelet transforms and their applications to science and engineering. In an effort to inform researchers in mathematics, physics, statistics, computer science, and engineering and to stimulate furtherresearch, an NSF-CBMS Research Conference on Wavelet Analysis was organized at the University of Central Florida in May 1998. Many distinguished mathematicians and scientists from allover the world participated in the conference and provided a digest of recent developments, open questions, and unsolved problems in this rapidly growing and important field. As a follow-up project, this monograph was developed from manuscripts sub mitted by renowned mathematicians and scientists who have made important contributions to the subject of wavelets, wavelet transforms, and time-frequency signal analysis. This publication brings together current developments in the theory and applications of wavelet transforms and in the field of time-frequency signal analysis that are likely to determine fruitful directions for future advanced study and research.
Fourier Bem
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Author : Fabian M.E. Duddeck
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-26
Fourier Bem written by Fabian M.E. Duddeck and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-26 with Mathematics categories.
Like FEM, the Boundary Element Method (BEM) provides a general numerical tool for the solution of complex engineering problems. In the last decades, the range of its applications has remarkably been enlarged. Therefore dynamic and nonlinear problems can be tackled. However they still demand an explicit expression of a fundamental solution, which is only known in simple cases. In this respect, the present book proposes an alternative BEM-formulation based on the Fourier transform, which can be applied to almost all cases relevant in engineering mechanics. The basic principle is presented for the heat equation. Applications are taken from solid mechanics (e.g. poroelasticity, thermoelasticity). Transient and stationary examples are given as well as linear and nonlinear. Completed with a mathematical and mechanical glossary, the book will serve as a comprehensive text book linking applied mathematics to real world engineering problems.
Approximation Theory Viii Volume 2 Wavelets And Multilevel Approximation
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Author : Charles K Chui
language : en
Publisher: World Scientific
Release Date : 1995-11-07
Approximation Theory Viii Volume 2 Wavelets And Multilevel Approximation written by Charles K Chui and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-11-07 with Mathematics categories.
This is the collection of the refereed and edited papers presented at the 8th Texas International Conference on Approximation Theory. It is interdisciplinary in nature and consists of two volumes. The central theme of Vol. I is the core of approximation theory. It includes such important areas as qualitative approximations, interpolation theory, rational approximations, radial-basis functions, and splines. The second volume focuses on topics related to wavelet analysis, including multiresolution and multi-level approximation, subdivision schemes in CAGD, and applications.