Download or read book Coupling Finite Element with Boundary Element Method in 3 D Direct Time Domain written by Zhenyu Wang and published by . This book was released on 1999 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Time Domain Coupling of the Boundary and Finite Element Methods for Elastodynamics written by J. Cox and published by . This book was released on 1989 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study investigates the time domain coupling of the boundary and finite element methods for elastodynamics. The study is motivated by the need for a 'silent boundary' in nonlinear problems with infinite domains. Of the boundary element methods (BEMs) considered, formulations based on the Stokes solution appear to be the best suited. The theoretical and numerical bases for the indirect and direct BEMs using the Stokes solution are presented. The integral equation statements of the boundary-initial value problem included a convolution of the time variable and thus appear to be computationally intense. A coupling algorithm which treats the BEM region as a nonlinear boundary condition to the finite element region is presented. The potential of the coupled approach might be realized by exploiting special properties of Stoke's solution and designing the algorithm to use the advances in computer hardware (e.g. parallel processing). (SDW).
Download or read book The Scaled Boundary Finite Element Method written by Chongmin Song and published by John Wiley & Sons. This book was released on 2018-06-19 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: An informative look at the theory, computer implementation, and application of the scaled boundary finite element method This reliable resource, complete with MATLAB, is an easy-to-understand introduction to the fundamental principles of the scaled boundary finite element method. It establishes the theory of the scaled boundary finite element method systematically as a general numerical procedure, providing the reader with a sound knowledge to expand the applications of this method to a broader scope. The book also presents the applications of the scaled boundary finite element to illustrate its salient features and potentials. The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation covers the static and dynamic stress analysis of solids in two and three dimensions. The relevant concepts, theory and modelling issues of the scaled boundary finite element method are discussed and the unique features of the method are highlighted. The applications in computational fracture mechanics are detailed with numerical examples. A unified mesh generation procedure based on quadtree/octree algorithm is described. It also presents examples of fully automatic stress analysis of geometric models in NURBS, STL and digital images. Written in lucid and easy to understand language by the co-inventor of the scaled boundary element method Provides MATLAB as an integral part of the book with the code cross-referenced in the text and the use of the code illustrated by examples Presents new developments in the scaled boundary finite element method with illustrative examples so that readers can appreciate the significant features and potentials of this novel method—especially in emerging technologies such as 3D printing, virtual reality, and digital image-based analysis The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation is an ideal book for researchers, software developers, numerical analysts, and postgraduate students in many fields of engineering and science.
Download or read book Coupled Boundary and Finite Element Methods for the Solution of the Dynamic Fluid Structure Interaction Problem written by Siamak Amini and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text considers the problem of the dynamic fluid-structure interaction between a finite elastic structure and the acoustic field in an unbounded fluid-filled exterior domain. The exterior acoustic field is modelled through a boundary integral equation over the structure surface. However, the classical boundary integral equation formulations of this problem either have no solutions or do not have unique solutions at certain characteristic frequencies (which depend on the surface geometry) and it is necessary to employ modified boundary integral equation formulations which are valid for all frequencies. The particular approach adopted here involves an arbitrary coupling parameter and the effect that this parameter has on the stability and accuracy of the numerical method used to solve the integral equation is examined. The boundary integral analysis of the exterior acoustic problem is coupled with a finite element analysis of the elastic structure in order to investigate the interaction between the dynamic behaviour of the structure and the associated acoustic field. Recently there has been some controversy over whether or not the coupled problem also suffers from the non-uniqueness problems associated with the classical integral equation formulations of the exterior acoustic problem. This question is resolved by demonstrating that .the solution to the coupled problem is not unique at the characteristic frequencies and that it is necessary to employ an integral equation formulation valid for all frequencies.
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.
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.
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.
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.
Download or read book The Boundary Element Method in Acoustics written by Stephen Kirkup and published by Stephen Kirkup. This book was released on 1998 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Finite and Boundary Element Methods in Engineering written by O.P. Gupta and published by Routledge. This book was released on 2022-03-23 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interest in finite element method as a solution technique of the computer age is reflected in the availability of many general and special purpose software based on this technique. This work aims to provide a complete and detailed explanation of the basics of the application areas.
Download or read book Finite Element and Boundary Element Techniques from Mathematical and Engineering Point of View written by Erwin Stein and published by Springer. This book was released on 1988 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Practical Guide to Boundary Element Methods with the Software Library BEMLIB written by C. Pozrikidis and published by CRC Press. This book was released on 2002-05-15 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: The boundary-element method is a powerful numerical technique for solving partial differential equations encountered in applied mathematics, science, and engineering. The strength of the method derives from its ability to solve with notable efficiency problems in domains with complex and possibly evolving geometry where traditional methods can be d
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.
Download or read book Computational Structural Dynamics and Earthquake Engineering written by Manolis Papadrakakis and published by CRC Press. This book was released on 2008-12-04 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: The increasing necessity to solve complex problems in Structural Dynamics and Earthquake Engineering requires the development of new ideas, innovative methods and numerical tools for providing accurate numerical solutions in affordable computing times. This book presents the latest scientific developments in Computational Dynamics, Stochastic Dynam
Download or read book A Preliminary Study on Finite Element hosted Couplings with the Boundary Element Method written by J. V. Cox and published by . This book was released on 1988 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study investigated the theoretical and numerical basis of finite element-hosted couplings with the boundary element method (BEM). The emphasis of the study is on (1) conceptually unifying the different coupling approaches and (2) providing an algorithm to facilities future implementation. Overviews of both the indirect and direct boundary element formulations are included. The theoretical development of BEM stiffness matrices is limited to a physically intuitive derivation based on the indirect BEM. Discontinuity between finite element and boundary element regions is an inherent trait of the boundary element method; this behavior is not eliminated by simply matching the order of shape functions between the two methods. A discussion of the numerical implementation of BEM-formulated stiffness matrices addresses both the direct and indirect BEMs. The direct BEM is better suited in coupled solution approaches due to its simpler traction-displacement relationship. Algorithms are included which outline the calculations unique to obtaining a stiffness matrix from the BEM. Keywords: Elastostatics; Coupled solutions; Boundary element; Finite element. (jhd).
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.
Download or read book The Boundary Element Method for Engineers written by C. A. Brebbia and published by John Wiley & Sons. This book was released on 1978 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
