The Boundary Element Method in Engineering

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Author :
Publisher : McGraw-Hill Companies
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis The Boundary Element Method in Engineering by : Adib A. Becker

Download or read book The Boundary Element Method in Engineering written by Adib A. Becker and published by McGraw-Hill Companies. This book was released on 1992 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Boundary Element Methods for Engineers and Scientists

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9783540004639
Total Pages : 896 pages
Book Rating : 4.0/5 (46 download)

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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 2003-02-27 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory course on the classical Boundary Element Method also contains advanced topics such as the Dual Reciprocity and the Hybrid Boundary Element Methods. The latter methods are extensions that permit the application of BME to anisotropic materials, as well as multi-field problems and fluid-structure interaction. The class-tested textbook offers a clear and easy-to-understand introduction to the subject, including worked-out examples that describe all the basic features of the method. The first two chapters not only establish the mathematical basis for BEM but also review the basics of continuum mechanics for field problems, perhaps a unique feature for a text on numerical methods. This helps the reader to understand the physical principles of the field problems, to apply the method judiciously, and toe critically evaluate the results.

Introduction to Finite and Boundary Element Methods for Engineers

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Publisher :
ISBN 13 :
Total Pages : 546 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Introduction to Finite and Boundary Element Methods for Engineers by : Gernot Beer

Download or read book Introduction to Finite and Boundary Element Methods for Engineers written by Gernot Beer and published by . This book was released on 1992 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uses simple engineering terms to describe which types of problems can best be solved with each method, combining the two and the applications for which this might be suitable. Features a chapter devoted to the construction of finite and boundary element meshes, error analysis and confidence criteria. Contains a slew of practical applications.

Fast Boundary Element Methods in Engineering and Industrial Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3642256708
Total Pages : 278 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Fast Boundary Element Methods in Engineering and Industrial Applications by : Ulrich Langer

Download or read book Fast Boundary Element Methods in Engineering and Industrial Applications written by Ulrich Langer and published by Springer Science & Business Media. This book was released on 2012-02-02 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains eight state of the art contributions on mathematical aspects and applications of fast boundary element methods in engineering and industry. This covers the analysis and numerics of boundary integral equations by using differential forms, preconditioning of hp boundary element methods, the application of fast boundary element methods for solving challenging problems in magnetostatics, the simulation of micro electro mechanical systems, and for contact problems in solid mechanics. Other contributions are on recent results on boundary element methods for the solution of transient problems. This book is addressed to researchers, graduate students and practitioners working on and using boundary element methods. All contributions also show the great achievements of interdisciplinary research between mathematicians and engineers, with direct applications in engineering and industry.

The Boundary Element Method for Engineers and Scientists

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Publisher : Academic Press
ISBN 13 : 0128020105
Total Pages : 466 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis The Boundary Element Method for Engineers and Scientists by : John T. Katsikadelis

Download or read book The Boundary Element Method for Engineers and Scientists written by John T. Katsikadelis and published by Academic Press. This book was released on 2016-10-10 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Boundary Element Method for Engineers and Scientists: Theory and Applications is a detailed introduction to the principles and use of boundary element method (BEM), enabling this versatile and powerful computational tool to be employed for engineering analysis and design. In this book, Dr. Katsikadelis presents the underlying principles and explains how the BEM equations are formed and numerically solved using only the mathematics and mechanics to which readers will have been exposed during undergraduate studies. All concepts are illustrated with worked examples and problems, helping to put theory into practice and to familiarize the reader with BEM programming through the use of code and programs listed in the book and also available in electronic form on the book's companion website. - Offers an accessible guide to BEM principles and numerical implementation, with worked examples and detailed discussion of practical applications - This second edition features three new chapters, including coverage of the dual reciprocity method (DRM) and analog equation method (AEM), with their application to complicated problems, including time dependent and non-linear problems, as well as problems described by fractional differential equations - Companion website includes source code of all computer programs developed in the book for the solution of a broad range of real-life engineering problems

The Boundary Element Method with Programming

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Publisher : Springer Science & Business Media
ISBN 13 : 3211715762
Total Pages : 496 pages
Book Rating : 4.2/5 (117 download)

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Book Synopsis The Boundary Element Method with Programming by : Gernot Beer

Download or read book The Boundary Element Method with Programming written by Gernot Beer and published by Springer Science & Business Media. This book was released on 2008-09-03 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thorough yet understandable introduction to the boundary element method presents an attractive alternative to the finite element method. It not only explains the theory but also presents the implementation of the theory into computer code, the code in FORTRAN 95 can be freely downloaded. The book also addresses the issue of efficiently using parallel processing hardware in order to considerably speed up the computations for large systems. The applications range from problems of heat and fluid flow to static and dynamic elasto-plastic problems in continuum mechanics.

Boundary Element Techniques

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Publisher : Springer Science & Business Media
ISBN 13 : 3642488609
Total Pages : 479 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Boundary Element Techniques by : C. A. Brebbia

Download or read book Boundary Element Techniques written by C. A. Brebbia and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: VI SOCRATES: I think that we ought to stress that we will write only about things that we have first hand experience in, in a coherent way that will be useful to engineers and other scientists and stressing the formulation without being too mathematical. We should write with integrity and honesty, giving reference to other authors where reference is due, but avoiding mentioning everybody just to be certain that our book is widely advertised. Above all, the book should be clear and useful. PLATO: I think we should include a good discussion of fundamental ideas, of how integral equations are formed, pointing out that they are like two dimensional shadows of three dimensional objects, ... SOCRATES: Stop there! Remember you are not 'the' Plato! PLATO: Sorry, I was carried away. ARISTOTLE: I think that the book should have many applications so that the reader can learn by looking at them how to use the method. SOCRATES: I agree. But we should be careful. It is easy to include many illustra tions and examples in a book in order to disguise its meagre contents. All examples should be relevant. ARISTOTLE: And we should also include a full computer program to give the reader if so he wishes, a working experience of the technique.

Programming the Boundary Element Method

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Publisher : Wiley
ISBN 13 : 9780471857228
Total Pages : 472 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Programming the Boundary Element Method by : Gernot Beer

Download or read book Programming the Boundary Element Method written by Gernot Beer and published by Wiley. This book was released on 2001-04-24 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing an easy introduction to the boundary element method, this book is ideal for any reader wishing to work in this field or use this method for the solution of engineering problems. From the beginning, the emphasis is on the implementation of the method into computer programs which can be used to solve real problems. The book covers two-andthree-dimensional linear and non-linear analysis in potential flow (heat flow and seepage) and static elasticity. Several computer programs are listed in the book and may be downloaded free of charge via the Internet. They include programs and subroutines for: * 2-D analysis of potential problems using the Trefftz method * 2-D and 3-D linear analysis of potential and static elasticity problems using isoparametric elements (single and multiple regions) * implementation of non-linear problems * coupling to finite elements The programs (written in FORTRAN 90) are well documented, and can be employed by the user to gain experience with the method through the solution of small test examples. Furthermore, readers may use them as a starting point for developing their own boundary element package. In addition, exercises are included in most chapters involving the use of the programs with answers given in an Appendix, and a number of interesting industrial applications in the areas of mechanical, civil and geotechnical engineering are presented.

MATLAB and C Programming for Trefftz Finite Element Methods

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Publisher : CRC Press
ISBN 13 : 1420072765
Total Pages : 464 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis MATLAB and C Programming for Trefftz Finite Element Methods by : Qing-Hua Qin

Download or read book MATLAB and C Programming for Trefftz Finite Element Methods written by Qing-Hua Qin and published by CRC Press. This book was released on 2008-07-21 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the Trefftz finite element method (FEM) has become a powerful computational tool in the analysis of plane elasticity, thin and thick plate bending, Poisson's equation, heat conduction, and piezoelectric materials, there are few books that offer a comprehensive computer programming treatment of the subject. Collecting results scattered in t

The Scaled Boundary Finite Element Method

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Publisher : John Wiley & Sons
ISBN 13 : 9780471486824
Total Pages : 398 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis The Scaled Boundary Finite Element Method by : John P. Wolf

Download or read book The Scaled Boundary Finite Element Method written by John P. Wolf and published by John Wiley & Sons. This book was released on 2003-03-14 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: A novel computational procedure called the scaled boundary finite-element method is described which combines the advantages of the finite-element and boundary-element methods : Of the finite-element method that no fundamental solution is required and thus expanding the scope of application, for instance to anisotropic material without an increase in complexity and that singular integrals are avoided and that symmetry of the results is automatically satisfied. Of the boundary-element method that the spatial dimension is reduced by one as only the boundary is discretized with surface finite elements, reducing the data preparation and computational efforts, that the boundary conditions at infinity are satisfied exactly and that no approximation other than that of the surface finite elements on the boundary is introduced. In addition, the scaled boundary finite-element method presents appealing features of its own : an analytical solution inside the domain is achieved, permitting for instance accurate stress intensity factors to be determined directly and no spatial discretization of certain free and fixed boundaries and interfaces between different materials is required. In addition, the scaled boundary finite-element method combines the advantages of the analytical and numerical approaches. In the directions parallel to the boundary, where the behaviour is, in general, smooth, the weighted-residual approximation of finite elements applies, leading to convergence in the finite-element sense. In the third (radial) direction, the procedure is analytical, permitting e.g. stress-intensity factors to be determined directly based on their definition or the boundary conditions at infinity to be satisfied exactly. In a nutshell, the scaled boundary finite-element method is a semi-analytical fundamental-solution-less boundary-element method based on finite elements. The best of both worlds is achieved in two ways: with respect to the analytical and numerical methods and with respect to the finite-element and boundary-element methods within the numerical procedures. The book serves two goals: Part I is an elementary text, without any prerequisites, a primer, but which using a simple model problem still covers all aspects of the method and Part II presents a detailed derivation of the general case of statics, elastodynamics and diffusion.

An Introduction to Linear and Nonlinear Finite Element Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 0817681604
Total Pages : 461 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis An Introduction to Linear and Nonlinear Finite Element Analysis by : Prem Kythe

Download or read book An Introduction to Linear and Nonlinear Finite Element Analysis written by Prem Kythe and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern finite element analysis has grown into a basic mathematical tool for almost every field of engineering and the applied sciences. This introductory textbook fills a gap in the literature, offering a concise, integrated presentation of methods, applications, software tools, and hands-on projects. Included are numerous exercises, problems, and Mathematica/Matlab-based programming projects. The emphasis is on interdisciplinary applications to serve a broad audience of advanced undergraduate/graduate students with different backgrounds in applied mathematics, engineering, physics/geophysics. The work may also serve as a self-study reference for researchers and practitioners seeking a quick introduction to the subject for their research.

Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 3642235883
Total Pages : 329 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems by : Clemens Pechstein

Download or read book Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems written by Clemens Pechstein and published by Springer Science & Business Media. This book was released on 2012-12-14 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tearing and interconnecting methods, such as FETI, FETI-DP, BETI, etc., are among the most successful domain decomposition solvers for partial differential equations. The purpose of this book is to give a detailed and self-contained presentation of these methods, including the corresponding algorithms as well as a rigorous convergence theory. In particular, two issues are addressed that have not been covered in any monograph yet: the coupling of finite and boundary elements within the tearing and interconnecting framework including exterior problems, and the case of highly varying (multiscale) coefficients not resolved by the subdomain partitioning. In this context, the book offers a detailed view to an active and up-to-date area of research.

Boundary Element Methods

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Publisher :
ISBN 13 :
Total Pages : 680 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Boundary Element Methods by : Goong Chen

Download or read book Boundary Element Methods written by Goong Chen and published by . This book was released on 1992 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Finite Element and Boundary Methods in Structural Acoustics and Vibration

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Publisher : CRC Press
ISBN 13 : 1466592885
Total Pages : 466 pages
Book Rating : 4.4/5 (665 download)

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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

Finite Element and Boundary Element Applications in Quantum Mechanics

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Publisher : OUP Oxford
ISBN 13 : 9780198525226
Total Pages : 628 pages
Book Rating : 4.5/5 (252 download)

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Book Synopsis Finite Element and Boundary Element Applications in Quantum Mechanics by : L. Ramdas Ram-Mohan

Download or read book Finite Element and Boundary Element Applications in Quantum Mechanics written by L. Ramdas Ram-Mohan and published by OUP Oxford. This book was released on 2002 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the finite element and boundary element methods for applications to quantum mechanical methods. It should be useful to graduate students and researchers in basic quantum theory, quantum semiconductor modeling and chemistry.

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.

The Finite Element Method for Boundary Value Problems

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Publisher : CRC Press
ISBN 13 : 1498780512
Total Pages : 824 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis The Finite Element Method for Boundary Value Problems by : Karan S. Surana

Download or read book The Finite Element Method for Boundary Value Problems written by Karan S. Surana and published by CRC Press. This book was released on 2016-11-17 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by two well-respected experts in the field, The Finite Element Method for Boundary Value Problems: Mathematics and Computations bridges the gap between applied mathematics and application-oriented computational studies using FEM. Mathematically rigorous, the FEM is presented as a method of approximation for differential operators that are mathematically classified as self-adjoint, non-self-adjoint, and non-linear, thus addressing totality of all BVPs in various areas of engineering, applied mathematics, and physical sciences. These classes of operators are utilized in various methods of approximation: Galerkin method, Petrov-Galerkin Method, weighted residual method, Galerkin method with weak form, least squares method based on residual functional, etc. to establish unconditionally stable finite element computational processes using calculus of variations. Readers are able to grasp the mathematical foundation of finite element method as well as its versatility of applications. h-, p-, and k-versions of finite element method, hierarchical approximations, convergence, error estimation, error computation, and adaptivity are additional significant aspects of this book.