On the order of pointwise convergence of some boundary element methods

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ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (586 download)

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Book Synopsis On the order of pointwise convergence of some boundary element methods by : Rolf Rannacher

Download or read book On the order of pointwise convergence of some boundary element methods written by Rolf Rannacher and published by . This book was released on 1983 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:

On the Convergence of Some Boundary Element Methods in the Plane

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ISBN 13 :
Total Pages : 40 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis On the Convergence of Some Boundary Element Methods in the Plane by : Keijo Ruotsalainen

Download or read book On the Convergence of Some Boundary Element Methods in the Plane written by Keijo Ruotsalainen and published by . This book was released on 1987 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advanced Boundary Element Methods

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Publisher : Springer
ISBN 13 : 3319920014
Total Pages : 661 pages
Book Rating : 4.3/5 (199 download)

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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.

Mathematical Theory of Finite and Boundary Element Methods

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Publisher : Birkhäuser
ISBN 13 : 3034876300
Total Pages : 268 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Mathematical Theory of Finite and Boundary Element Methods by : Schatz

Download or read book Mathematical Theory of Finite and Boundary Element Methods written by Schatz and published by Birkhäuser. This book was released on 2013-03-09 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: These are the lecture notes of the seminar "Mathematische Theorie der finiten Element und Randelementmethoden" organized by the "Deutsche Mathematiker-Vereinigung" and held in Dusseldorf from 07. - 14. of June 1987. Finite element methods and the closely related boundary element methods nowadays belong to the standard routines for the computation of solutions to boundary and initial boundary value problems of partial differential equations with many applications as e.g. in elasticity and thermoelasticity, fluid mechanics, acoustics, electromagnetics, scatter ing and diffusion. These methods also stimulated the development of corresponding mathematical numerical analysis. I was very happy that A. Schatz and V. Thomee generously joined the adventure of the seminar and not only gave stimulating lectures but also spent so much time for personal discussion with all the participants. The seminar as well as these notes consist of three parts: 1. An Analysis of the Finite Element Method for Second Order Elliptic Boundary Value Problems by A. H. Schatz. II. On Finite Elements for Parabolic Problems by V. Thomee. III. I30undary Element Methods for Elliptic Problems by \V. L. Wendland. The prerequisites for reading this book are basic knowledge in partial differential equations (including pseudo-differential operators) and in numerical analysis. It was not our intention to present a comprehensive account of the research in this field, but rather to give an introduction and overview to the three different topics which shed some light on recent research.

Introduction to Boundary Elements

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Publisher : Springer Science & Business Media
ISBN 13 : 3642488730
Total Pages : 429 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Introduction to Boundary Elements by : Friedel Hartmann

Download or read book Introduction to Boundary Elements written by Friedel Hartmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: to Boundary Elements Theory and Applications With 194 Figures Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Dr.-Ing. Friedel Hartmann University of Dortmund Department of Civil Engineering 4600 Dortmund 50 FRG ISBN-13: 978-3-642-48875-7 e-ISBN-13: 978-3-642-48873-3 001: 10.1007/978-3-642-48873-3 Library of Congress Cataloging-in-Publication Data Hartmann, F. (Friedel) Introduction to boundary elements: theory and applications/Friedel Hartmann. ISBN-13: 978-3-642-48875-7 1. Boundary value problems. I. Title. TA347.B69H371989 515.3'5--dc19 89-4160 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. Duplication of this publication or parts thereof is only permitted under the provision of the German Copyright Law of September 9,1965, in its version of June 24,1985, and a copyright fee must always be paid. Violations fall under the prosecution act of the German Copyright Law. © Springer-Verlag Berlin Heidelberg 1989 Softcover reprint of the hardcover 1 st edition 1989 The use of registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use.

Topics in Boundary Element Research

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Publisher : Springer
ISBN 13 : 3662296519
Total Pages : 273 pages
Book Rating : 4.6/5 (622 download)

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Book Synopsis Topics in Boundary Element Research by : Carlos A. Brebbia

Download or read book Topics in Boundary Element Research written by Carlos A. Brebbia and published by Springer. This book was released on 2013-12-19 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series has been developed in response to the interest shown in boundary ele ments by scientists and engineers. Whilst Volume I was dedicated to basic principles and applications, this book is concerned with the state of the art in the solution of time-dependent problems. Since papers have recently been published on this im portant topic it is time to produce a work ofa morepermanent nature. The volume begins with a chapter on the Fundamentals of Boundary Integral Equation Methods in Elastodynamics. After reviewing the basic equations of elasto dynamics, the wave equation and dynamic reciprocal theorems are stated and the direct and indirect boundary element formulations are presented. Eigenvalue problems are discussed together with the case of the Fourier transformations. Several applications illustrate the etfectiveness ofthe technique for engineering. Chapter 2 examines some ofthe various boundary integral equation formulations available for elastodynamic problems. In particular the displacement-traction for mulation is compared with the displacement-potential case. The special character istics ofthe elastodynamics fundamental solutions are discussed in detail and a criti cal comparison with the elastostatics case is presented. While the chapter is not meant to be a complete review of the work in the field, the original presentation of the problern and the suggestions for further work make an important contribu tion to the development ofthe method.

Error Analysis of Boundary Integral Methods

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ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Error Analysis of Boundary Integral Methods by : I. H. Sloan

Download or read book Error Analysis of Boundary Integral Methods written by I. H. Sloan and published by . This book was released on 1991 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Acta Numerica 1992: Volume 1

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Publisher : Cambridge University Press
ISBN 13 : 9780521410267
Total Pages : 418 pages
Book Rating : 4.4/5 (12 download)

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Book Synopsis Acta Numerica 1992: Volume 1 by : Arieh Iserles

Download or read book Acta Numerica 1992: Volume 1 written by Arieh Iserles and published by Cambridge University Press. This book was released on 1992-04-24 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Acta Numerica is an annual volume presenting survey papers in numerical analysis. Each year the editorial board selects significant topics and invites papers from authors who have made notable contributions to the development of that topic. The articles are intended to summarize the field at a level accessible to graduate students and researchers. Acta Numerica is a valuable tool not only for researchers and professionals wishing to develop their understanding of the subject and follow developments, but also as an advanced teaching aid at colleges and universities. This volume was originally published in 1992.

Boundary Element Methods in Engineering

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Publisher : Springer Science & Business Media
ISBN 13 : 3642842380
Total Pages : 596 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Boundary Element Methods in Engineering by : Balkrishna S. Annigeri

Download or read book Boundary Element Methods in Engineering written by Balkrishna S. Annigeri and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Boundary Element Method (BEM) has become established as an effective tool for the solutions of problems in engineering science. The salient features of the BEM have been well documented in the open literature and therefore will not be elaborated here. The BEM research has progressed rapidly, especially in the past decade and continues to evolve worldwide. This Symposium was organized to provide an international forum for presentation of current research in BEM for linear and nonlinear problems in solid and fluid mechanics and related areas. To this end, papers on the following topics were included: rotary wing aerodynamics, unsteady aerodynamics, design and optimization, elasticity, elasto dynamics and elastoplasticity, fracture mechanics, acoustics, diffusion and wave motion, thermal analysis, mathematical aspects and boundary/finite element coupled methods. A special session was devoted to parallel/vector supercomputing with emphasis on mas sive parallelism. This Symposium was sponsored by United Technologies Research Center (UTRC) , NASA Langley Research Center, and the International Association of Boundary Ele ment Methods (lAB EM) . We thank the UTRC management for their permission to host this Symposium. In particular, we thank Dr. Arthur S. Kesten and Mr. Robert E. Olson for their encouragement and support. We gratefully acknowledge the support of Dr. E. Carson Yates, Jr. of NASA Langley, Prof. Luigi Morino, Dr. Thomas A.

Theoretical Acoustics and Numerical Techniques

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Publisher : Springer
ISBN 13 : 3709143403
Total Pages : 360 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Theoretical Acoustics and Numerical Techniques by : P. Filippi

Download or read book Theoretical Acoustics and Numerical Techniques written by P. Filippi and published by Springer. This book was released on 2014-05-04 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Boundary Element Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 3540475338
Total Pages : 360 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Boundary Element Analysis by : Martin Schanz

Download or read book Boundary Element Analysis written by Martin Schanz and published by Springer Science & Business Media. This book was released on 2007-04-29 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains eleven contributions on boundary integral equation and boundary element methods. Beside some historical and more analytical aspects in the formulation and analysis of boundary integral equations, modern fast boundary element methods are also described and analyzed from a mathematical point of view. In addition, the book presents engineering and industrial applications that show the ability of boundary element methods to solve challenging problems from different fields.

Finite Element and Boundary Element Techniques from Mathematical and Engineering Point of View

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Publisher : Springer
ISBN 13 : 3709128269
Total Pages : 338 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Finite Element and Boundary Element Techniques from Mathematical and Engineering Point of View by : E. Stein

Download or read book Finite Element and Boundary Element Techniques from Mathematical and Engineering Point of View written by E. Stein and published by Springer. This book was released on 2014-05-04 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traditional FEM and the more recent BEM underlie many engineering computational methods and corresponding software. Both methods have their merits and also their limitations. The combination of both methods will provide an improved numerical tool in the future. The aim of this book is to present significant basic formulations of FEM and BEM and to show their common practical and mathematical foundations, their differences and possibilities for their combination. These include variational foundations, FEM and BEM for linear and non-linear elasticity and potential problems, the combination of FEM-BEM asymptotic error analysis, modifications due to corner and crack singularities and corresponding improvement of convergence, plastic analysis, numerical algorithms and engineering applications.

Boundary Element Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 3662112701
Total Pages : 638 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Boundary Element Methods by : Carlos A. Brebbia

Download or read book Boundary Element Methods written by Carlos A. Brebbia and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Current Distributions and Electrode Shape Changes in Electrochemical Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3642847161
Total Pages : 299 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Current Distributions and Electrode Shape Changes in Electrochemical Systems by : Johan Deconinck

Download or read book Current Distributions and Electrode Shape Changes in Electrochemical Systems written by Johan Deconinck and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reponds to the increasing demand of computer mo- delling of electrochemical processes in order to improve their speed and efficiency. The fundamental transport equa- tions in dilute solutions are given and it is established in detail under what circumstances a potential model with non- linear boundary conditions, involved by electrode reactions, can beused. Attention is directed towards the most impor- tant solution techniquesFEM, FDM and BEM and towards the solution of the non-linear system of equations (Successive Substitution, Newton-Raphson). Using the BEM, several two- dimensional and axisymmetrical examples of current density distributions are given and quantitative data, obtained in a copper electro-refining cell, are compared with calculated results. Applying Faraday's Law and the BEM, simulation of electro-deposition, electro-chemical levelling and machining are treated. Accuracy and stabilityare emphasized.

The Boundary Element Method in Geophysical Survey

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Publisher : Springer
ISBN 13 : 331972908X
Total Pages : 162 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis The Boundary Element Method in Geophysical Survey by : Balgaisha Mukanova

Download or read book The Boundary Element Method in Geophysical Survey written by Balgaisha Mukanova and published by Springer. This book was released on 2018-02-12 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to the application of the integral equations method (IEM) and boundary elements method (BEM) to problems involving the sounding of geological media using direct current (DC). Adaptive mesh generation algorithms and numerical methods for solving a system of integral equations are discussed. Integral equations for the media, which contains piecewise linear contact boundaries, immersed local inclusions, and subsurface relief, are derived and solved numerically. Both 2.5D and 3D models with ground surface relief are considered. For 2D conductivity distributions, the influence of the relief on the interpretation of results is shown. Search solutions of the direct problem with ground surface relief are compared using the appropriate interpretation of results based on different inversion programs.

Boundary Element Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 3662061538
Total Pages : 422 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Boundary Element Methods by : S. Kobayashi

Download or read book Boundary Element Methods written by S. Kobayashi and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Boundary Element Methods (BEM) has become one of the most efficient tools for solving various kinds of problems in engineering science. The International Association for Boundary Element Methods (IABEM) was established in order to promote and facilitate the exchange of scientific ideas related to the theory and applications of boundary element methods. The aim of this symposium is to provide a forum for researchers in boundary element methods and boundary-integral formulations in general to present contemporary concepts and techniques leading to the advancement of capabilities and understanding of this com putational methodology. The topics covered in this symposium include mathematical and computational aspects, applications to solid mechanics, fluid mechanics, acoustics, electromagnetics, heat transfer, optimization, control, inverse problems and other interdisciplinary problems. Papers deal ing with the coupling of the boundary element method with other computational methods are also included. The editors hope that this volume presents some innovative techniques and useful knowl edge for the development of the boundary element methods. February, 1992 S. Kobayashi N. Nishimura Contents Abe, K.

Finite Element Methods

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Publisher : Routledge
ISBN 13 : 1351448617
Total Pages : 368 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Finite Element Methods by : Michel Krizek

Download or read book Finite Element Methods written by Michel Krizek and published by Routledge. This book was released on 2017-11-22 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: ""Based on the proceedings of the first conference on superconvergence held recently at the University of Jyvaskyla, Finland. Presents reviewed papers focusing on superconvergence phenomena in the finite element method. Surveys for the first time all known superconvergence techniques, including their proofs.