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Advances In The Complex Variable Boundary Element Method
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Book Synopsis Advances in the Complex Variable Boundary Element Method by : Theodore V. Hromadka
Download or read book Advances in the Complex Variable Boundary Element Method written by Theodore V. Hromadka and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: As well as describing the extremely useful applications of the CVBEM, the authors explain its mathematical background -- vital to understanding the subject as a whole. This is the most comprehensive book on the subject, bringing together ten years of work and can boast the latest news in CVBEM technology. It is thus of particular interest to those concerned with solving technical engineering problems -- while scientists, graduate students, computer programmers and those working in industry will all find the book helpful.
Book Synopsis The Complex Variable Boundary Element Method by : T. V. Hromadka
Download or read book The Complex Variable Boundary Element Method written by T. V. Hromadka and published by Springer Science & Business Media. This book was released on 2013-03-12 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Complex Variable Boundary Element Method or CVBEM is a generalization of the Cauchy integral formula into a boundary integral equation method or BIEM. This generalization allows an immediate and extremely valuable transfer of the modeling techniques used in real variable boundary integral equation methods (or boundary element methods) to the CVBEM. Consequently, modeling techniques for dissimilar materials, anisotropic materials, and time advancement, can be directly applied without modification to the CVBEM. An extremely useful feature offered by the CVBEM is that the pro duced approximation functions are analytic within the domain enclosed by the problem boundary and, therefore, exactly satisfy the two-dimensional Laplace equation throughout the problem domain. Another feature of the CVBEM is the integrations of the boundary integrals along each boundary element are solved exactly without the need for numerical integration. Additionally, the error analysis of the CVBEM approximation functions is workable by the easy-to-understand concept of relative error. A sophistication of the relative error analysis is the generation of an approximative boundary upon which the CVBEM approximation function exactly solves the boundary conditions of the boundary value problem' (of the Laplace equation), and the goodness of approximation is easily seen as a closeness-of-fit between the approximative and true problem boundaries.
Book Synopsis The Complex Variable Boundary Element Method in Engineering Analysis by : Theodore V. Hromadka
Download or read book The Complex Variable Boundary Element Method in Engineering Analysis written by Theodore V. Hromadka and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Complex Variable Boundary Element Method (CVBEM) has emerged as a new and effective modeling method in the field of computational mechanics and hydraulics. The CVBEM is a generalization of the Cauchy integral formula into a boundary integral equation method. The model ing approach by boundary integration, the use of complex variables for two-dimensional potential problems, and the adaptability to now-popular microcomputers are among the factors that make this technique easy to learn, simple to operate, practical for modeling, and efficient in simulating various physical processes. Many of the CVBEM concepts and notions may be derived from the Analytic Function Method (AFM) presented in van der Veer (1978). The AFM served as the starting point for the generalization of the CVBEM theory which was developed during the first author's research engagement (1979 through 1981) at the University of California, Irvine. The growth and expansion of the CVBEM were subsequently nurtured at the U. S. Geological Survey, where keen interest and much activity in numerical modeling and computational mechanics-and-hydraulics are prevalent. Inclusion of the CVBEM research program in Survey's computational-hydraulics projects, brings the modeling researcher more uniform aspects of numerical mathematics in engineering and scientific problems, not to mention its (CVBEM) practicality and usefulness in the hydrologic investigations. This book is intended to introduce the CVBEM to engineers and scientists with its basic theory, underlying mathematics, computer algorithm, error analysis schemes, model adjustment procedures, and application examples.
Book Synopsis Excel in Complex Variables with the Complex Variable Boundary Element Method by : B. D. Wilkins
Download or read book Excel in Complex Variables with the Complex Variable Boundary Element Method written by B. D. Wilkins and published by WIT Press. This book was released on 2021-09-22 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using the familiar software Microsoft ® Excel, this book examines the applications of complex variables. Implementation of the included problems in Excel eliminates the “black box” nature of more advanced computer software and programming languages and therefore the reader has the chance to become more familiar with the underlying mathematics of the complex variable problems. This book consists of two parts. In Part I, several topics are covered that one would expect to find in an introductory text on complex variables. These topics include an overview of complex numbers, functions of a complex variable, and the Cauchy integral formula. In particular, attention is given to the study of analytic complex variable functions. This attention is warranted because of the property that the real and imaginary parts of an analytic complex variable function can be used to solve the Laplace partial differential equation (PDE). Laplace's equation is ubiquitous throughout science and engineering as it can be used to model the steady-state conditions of several important transport processes including heat transfer, soil-water flow, electrostatics, and ideal fluid flow, among others. In Part II, a specialty application of complex variables known as the Complex Variable Boundary Element Method (CVBEM) is examined. CVBEM is a numerical method used for solving boundary value problems governed by Laplace's equation. This part contains a detailed description of the CVBEM and a guide through each step of constructing two CVBEM programs in Excel. The writing of these programs is the culminating event of the book. Students of complex variables and anyone with an interest in a novel method for approximating potential functions using the principles of complex variables are the intended audience for this book. The Microsoft Excel applications (including simple programs as well as the CVBEM program) covered will also be of interest in the industry, as these programs are accessible to anybody with Microsoft Office.
Book Synopsis Complex Analysis for Practical Engineering by : Kozo Sato
Download or read book Complex Analysis for Practical Engineering written by Kozo Sato and published by Springer. This book was released on 2015-03-02 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maximizing reader insights into the fundamentals of complex analysis, and providing complete instructions on how to construct and use mathematical tools to solve engineering problems in potential theory, this book covers complex analysis in the context of potential flow problems. The basic concepts and methodologies covered are easily extended to other problems of potential theory. Featuring case studies and problems that aid readers understanding of the key topics and of their application to practical engineering problems, this book is suitable as a guide for engineering practitioners. The complex analysis problems discussed in this book will prove useful in solving practical problems in a variety of engineering disciplines, including flow dynamics, electrostatics, heat conduction and gravity fields.
Book Synopsis Advances in Boundary Element Techniques by : James H. Kane
Download or read book Advances in Boundary Element Techniques written by James H. Kane and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: The editors have published a select group of full length papers on boundary element analysis (BEA) photographed from camera ready manuscripts. The articles have been prepared by some of the most distinguished and prolific individuals in this field. More than half of these articles have been submitted by authors that participated in an International Forum on Boundary Element Methods, in Melbourne Australia, in the Summer of 1991. However, this volume is not a conference proceedings, as these authors have expanded their accounts to chapter length, and/or have tailored their expositions more toward the style employed in archival journal publications. The authors that did not participate in the International Forum have also adhered to the above mentioned philosophy. This work contains a definitive representation of the significant capabilities and applications currently available or under investigation that fall under the general category of advanced boundary element analysis. With treatments of mechanical, thermal, fluid, and electromagnetic phenomena, this book should thus be of value to graduate students, practitioners, and researchers in engineering, mathematics, and the physical sciences wishing to obtain a broader perspective or remain current in these important areas of computational simulation.
Book Synopsis Recent Advances in Boundary Element Methods by : George Manolis
Download or read book Recent Advances in Boundary Element Methods written by George Manolis and published by Springer Science & Business Media. This book was released on 2009-05-12 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, dedicated to Professor Dimitri Beskos, contains contributions from leading researchers in Europe, the USA, Japan and elsewhere, and addresses the needs of the computational mechanics research community in terms of timely information on boundary integral equation-based methods and techniques applied to a variety of fields. The contributors are well-known scientists, who also happen to be friends, collaborators as past students of Dimitri Beskos. Dimitri is one the BEM pioneers who started his career at the University of Minnesota in Minneapolis, USA, in the 1970s and is now with the University of Patras in Patras, Greece. The book is essentially a collection of both original and review articles on contemporary Boundary Element Methods (BEM) as well as on the newer Mesh Reduction Methods (MRM), covering a variety of research topics. Close to forty contributions compose an over-500 page volume that is rich in detail and wide in terms of breadth of coverage of the subject of integral equation formulations and solutions in both solid and fluid mechanics.
Book Synopsis Green's Functions and Boundary Element Analysis for Modeling of Mechanical Behavior of Advanced Materials by : J. R. Berger
Download or read book Green's Functions and Boundary Element Analysis for Modeling of Mechanical Behavior of Advanced Materials written by J. R. Berger and published by DIANE Publishing. This book was released on 1998-03 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Demonstrates the potential of Green's functions & boundary element methods in solving a broad range of practical materials science problems. Papers include: Accurate Discretization of Integral Operators, Boundary Element Analysis of Bimaterials Using Anisotropic Elastic Green's Functions, Mechanical Properties of Metal-Matrix Composites, Approximate Operators for Boundary Integral Equations in Transient Elastodynamics, Simulation of the Electrochemical Machining Process Using a 2D Fundamental Singular Solution, Elastic Green's Functions for Anisotropic Solids, & more. Charts & tables.
Book Synopsis A Multi-dimensional Complex Variable Boundary Element Method by : Theodore V. Hromadka
Download or read book A Multi-dimensional Complex Variable Boundary Element Method written by Theodore V. Hromadka and published by Computational Mechanics. This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Complex Variable Boundary Element Method (CVBEM) is a numerical technique useful in developing approximations of boundary value problems involving the LaPlace and Poisson partial differential equations. Because the CVBEM is based upon the Cauchy integral theorem of complex variables, it has so far been limited to two-dimensional geometry applications.
Book Synopsis Boundary Element Methods for Electrical Engineers by : Dragan Poljak
Download or read book Boundary Element Methods for Electrical Engineers written by Dragan Poljak and published by WIT Press. This book was released on 2005 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents Boundary Element Method (BEM) in a simple fashion in order to help the beginner to understand the very basic principles of the method. This book initially derives BEM for the simplest potential problems, and subsequently builds on these to formulate BEM for a wide range of applications in electromagnetics.
Book Synopsis Recent Advances in Boundary Element Methods by : C. A. Brebbia
Download or read book Recent Advances in Boundary Element Methods written by C. A. Brebbia and published by . This book was released on 1978 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Aspects by : Carlos A. Brebbia
Download or read book Computational Aspects written by Carlos A. Brebbia and published by Springer Science & Business Media. This book was released on 2013-03-12 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Past volumes of this series have concentrated on the theoretical and the more formal aspects of the boundary element method. The present book instead stresses the computational aspects of the technique and its applications with the objective of facilitating the implementation of BEM in the engineering industry and its better understanding in the teaching and research environments. The book starts by discussing the topics of convergence of solutions, application to nonlinear problems and numerical integration. This is followed by a long chapter on the computational aspects of the method, discussing the different numerical schemes and the way in which influence functions can be computed. Three separate chapters deal with important techniques which are related to classical boundary elements, namely the edge method, multigrid schemes and the complex variable boundary element approach. The last two chapters are of special interest as they present and explain in detail two FORTRAN codes which have numerous applications in engineering, i.e. a code for the solution of potential problems and another for elastostatics. Each sub routine in the programs is listed and explained. The codes follow the same format as the ones in the classical book "The Boundary Element Method for Engineers" (by C. A. Brebbia, Computational Mechanics Publications, first published in 1978) but are more advanced in terms of elements and capabilities. In particular the new listings deal with symmetry, linear elements for the two dimensional elasticity, some mixed type of boundary conditions and the treatment of infinite regions.
Book Synopsis Advanced Boundary Element Methods by : Joachim Gwinner
Download or read book Advanced Boundary Element Methods written by Joachim Gwinner and published by Springer. This book was released on 2018-07-28 with total page 661 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering. It serves as the mathematical foundation of the boundary element methods (BEM) both for static and dynamic problems. The book presents a systematic approach to the variational methods for boundary integral equations including the treatment with variational inequalities for contact problems. It also features adaptive BEM, hp-version BEM, coupling of finite and boundary element methods – efficient computational tools that have become extremely popular in applications. Familiarizing readers with tools like Mellin transformation and pseudodifferential operators as well as convex and nonsmooth analysis for variational inequalities, it concisely presents efficient, state-of-the-art boundary element approximations and points to up-to-date research. The authors are well known for their fundamental work on boundary elements and related topics, and this book is a major contribution to the modern theory of the BEM (especially for error controlled adaptive methods and for unilateral contact and dynamic problems) and is a valuable resource for applied mathematicians, engineers, scientists and graduate students.
Book Synopsis Foundations of the Complex Variable Boundary Element Method by : Theodore Hromadka
Download or read book Foundations of the Complex Variable Boundary Element Method written by Theodore Hromadka and published by Springer Science & Business Media. This book was released on 2014-04-10 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains and examines the theoretical underpinnings of the Complex Variable Boundary Element Method (CVBEM) as applied to higher dimensions, providing the reader with the tools for extending and using the CVBEM in various applications. Relevant mathematics and principles are assembled and the reader is guided through the key topics necessary for an understanding of the development of the CVBEM in both the usual two as well as three or higher dimensions. In addition to this, problems are provided that build upon the material presented. The Complex Variable Boundary Element Method (CVBEM) is an approximation method useful for solving problems involving the Laplace equation in two dimensions. It has been shown to be a useful modelling technique for solving two-dimensional problems involving the Laplace or Poisson equations on arbitrary domains. The CVBEM has recently been extended to 3 or higher spatial dimensions, which enables the precision of the CVBEM in solving the Laplace equation to be now available for multiple dimensions. The mathematical underpinnings of the CVBEM, as well as the extension to higher dimensions, involve several areas of applied and pure mathematics including Banach Spaces, Hilbert Spaces, among other topics. This book is intended for applied mathematics graduate students, engineering students or practitioners, developers of industrial applications involving the Laplace or Poisson equations and developers of computer modelling applications.
Book Synopsis Advances in Boundary Elements by : C. A. Brebbia
Download or read book Advances in Boundary Elements written by C. A. Brebbia and published by . This book was released on 1989 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Boundary Element Methods for Engineers and Scientists by : Lothar Gaul
Download or read book Boundary Element Methods for Engineers and Scientists written by Lothar Gaul and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past decades, the Boundary Element Method has emerged as a ver satile and powerful tool for the solution of engineering problems, presenting in many cases an alternative to the more widely used Finite Element Method. As with any numerical method, the engineer or scientist who applies it to a practical problem needs to be acquainted with, and understand, its basic principles to be able to apply it correctly and be aware of its limitations. It is with this intention that we have endeavoured to write this book: to give the student or practitioner an easy-to-understand introductory course to the method so as to enable him or her to apply it judiciously. As the title suggests, this book not only serves as an introductory course, but also cov ers some advanced topics that we consider important for the researcher who needs to be up-to-date with new developments. This book is the result of our teaching experiences with the Boundary Element Method, along with research and consulting activities carried out in the field. Its roots lie in a graduate course on the Boundary Element Method given by the authors at the university of Stuttgart. The experiences gained from teaching and the remarks and questions of the students have contributed to shaping the 'Introductory course' (Chapters 1-8) to the needs of the stu dents without assuming a background in numerical methods in general or the Boundary Element Method in particular.
Book Synopsis Advanced Formulations in Boundary Element Methods by : M. H. Aliabadi
Download or read book Advanced Formulations in Boundary Element Methods written by M. H. Aliabadi and published by . This book was released on 1993 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
