Domain Decomposition Techniques For Boundary Elements
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Domain Decomposition Techniques For Boundary Elements
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Author : L. Škerget
language : en
Publisher: WIT Press
Release Date : 2007
Domain Decomposition Techniques For Boundary Elements written by L. Škerget and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
The sub-domain techniques in the BEM are nowadays finding its place in the toolbox of numerical modellers, especially when dealing with complex 3D problems. We see their main application in conjunction with the classical BEM approach, which is based on a single domain, when part of the domain needs to be solved using a single domain approach, the classical BEM, and part needs to be solved using a domain approach. This has usually been done in the past by coupling the BEM with the FEM, however, it is much more efficient to use a combination of the BEM and a BEM sub-domain technique. The advantage arises from the simplicity of coupling the single domain and multi-domain solutions, and from the fact that only one formulation needs to be developed, rather than two separate formulations based on different techniques. There are still possibilities for improving the BEM sub-domain techniques. However, considering the increased interest and research in this approach we believe that BEM sub-domain techniques will become a logical choice in the future substituting the FEM whenever an efficient solution requires coupling of the BEM with a domain technique.
Boundary Element Analysis
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Author : Martin Schanz
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-29
Boundary Element Analysis written by Martin Schanz 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 2007-04-29 with Technology & Engineering categories.
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.
Boundary Elements And Other Mesh Reduction Methods Xxix
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Author : C. A. Brebbia
language : en
Publisher: WIT Press
Release Date : 2007
Boundary Elements And Other Mesh Reduction Methods Xxix 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 2007 with Mathematics categories.
This book contains the edited proceedings of the 29th World Conference on Boundary Elements and Other Mesh Reduction Methods, an internationally recognised forum for the dissemination of the latest advances on Mesh Reduction Techniques and their applications in sciences and engineering. The range of topics included in this volume are as follows: Advances in Mesh Reduction; Meshless Methods Techniques; Dual Reciprocity Method, Modified Trefftz Method; Fundamental Solution Method; Damage Mechanics and Fracture; Advanced Stress Analysis and Structural Applications; Plates and Shells; Dynamics and Vibrations; Material Characterisation; Acoustics; Heat and mass Transfer; Fluid Mechanics Applications; Wave Propagation; Inverse Problems and Computational Techniques.
Mathematical Aspects Of Boundary Element Methods
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Author : Marc Bonnet
language : en
Publisher: CRC Press
Release Date : 2024-07-05
Mathematical Aspects Of Boundary Element Methods written by Marc Bonnet and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-05 with Mathematics categories.
Boundary element methods relate to a wide range of engineering applications, including fluid flow, fracture analysis, geomechanics, elasticity, and heat transfer. Thus, new results in the field hold great importance not only to researchers in mathematics, but to applied mathematicians, physicists, and engineers. A two-day minisymposium Mathematical Aspects of Boundary Element Methods at the IABEM conference in May 1998 brought together top rate researchers from around the world, including Vladimir Maz’ya, to whom the conference was dedicated. Focusing on the mathematical and numerical analysis of boundary integral operators, this volume presents 25 papers contributed to the symposium. Mathematical Aspects of Boundary Element Methods provides up-to-date research results from the point of view of both mathematics and engineering. The authors detail new results, such as on nonsmooth boundaries, and new methods, including domain decomposition and parallelization, preconditioned iterative techniques, multipole expansions, higher order boundary elements, and approximate approximations. Together they illustrate the connections between the modeling of applied problems, the derivation and analysis of corresponding boundary integral equations, and their efficient numerical solutions.
Boundary Element Methods For Soil Structure Interaction
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Author : W.S. Hall
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-08
Boundary Element Methods For Soil Structure Interaction written by W.S. Hall 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 2007-05-08 with Technology & Engineering categories.
W S HALL School of Computing and Mathematics, University of Teesside, Middlesbrough, TS1 3BA UK G OLIVETO Division of Structural Engineering, Department of Civil and Environmental Engineering, University of Catania, Viale A. Doria 6, 95125 Catania, Italy Soil-Structure Interaction is a challenging multidisciplinary subject which covers several areas of Civil Engineering. Virtually every construction is connected to the ground and the interaction between the artefact and the foundation medium may affect considerably both the superstructure and the foundation soil. The Soil-Structure Interaction problem has become an important feature of Structural Engineering with the advent of massive constructions on soft soils such as nuclear power plants, concrete and earth dams. Buildings, bridges, tunnels and underground structures may also require particular attention to be given to the problems of Soil-Structure Interaction. Dynamic Soil-Structure Interaction is prominent in Earthquake Engineering problems. The complexity of the problem, due also to its multidisciplinary nature and to the fact of having to consider bounded and unbounded media of different mechanical characteristics, requires a numerical treatment for any application of engineering significance. The Boundary Element Method appears to be well suited to solve problems of Soil- Structure Interaction through its ability to discretize only the boundaries of complex and often unbounded geometries. Non-linear problems which often arise in Soil-Structure Interaction may also be treated advantageously by a judicious mix of Boundary and Finite Element discretizations.
Numerical Approximation Methods For Elliptic Boundary Value Problems
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Author : Olaf Steinbach
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-22
Numerical Approximation Methods For Elliptic Boundary Value Problems written by Olaf Steinbach 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 2007-12-22 with Mathematics categories.
This book presents a unified theory of the Finite Element Method and the Boundary Element Method for a numerical solution of second order elliptic boundary value problems. This includes the solvability, stability, and error analysis as well as efficient methods to solve the resulting linear systems. Applications are the potential equation, the system of linear elastostatics and the Stokes system. While there are textbooks on the finite element method, this is one of the first books on Theory of Boundary Element Methods. It is suitable for self study and exercises are included.
Finite And Boundary Element Tearing And Interconnecting Solvers For Multiscale Problems
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Author : Clemens Pechstein
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-14
Finite And Boundary Element Tearing And Interconnecting Solvers For Multiscale Problems written by Clemens Pechstein 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 2012-12-14 with Mathematics categories.
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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Author : Stefan A. Sauter
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-01
Boundary Element Methods written by Stefan A. Sauter 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 2010-11-01 with Mathematics categories.
This work presents a thorough treatment of boundary element methods (BEM) for solving strongly elliptic boundary integral equations obtained from boundary reduction of elliptic boundary value problems in $\mathbb{R}^3$. The book is self-contained, the prerequisites on elliptic partial differential and integral equations being presented in Chapters 2 and 3. The main focus is on the development, analysis, and implementation of Galerkin boundary element methods, which is one of the most flexible and robust numerical discretization methods for integral equations. For the efficient realization of the Galerkin BEM, it is essential to replace time-consuming steps in the numerical solution process with fast algorithms. In Chapters 5-9 these methods are developed, analyzed, and formulated in an algorithmic way.
Domain Decomposition Methods In Sciences And Engineering
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Author : R. Glowinski
language : en
Publisher:
Release Date : 1997-04-30
Domain Decomposition Methods In Sciences And Engineering written by R. Glowinski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-04-30 with Mathematics categories.
Domain Decomposition Methods are receiving significant attention in scientific and engineering computing. They provide a broad class of effective numerical methods for the solution of large scale mathematical-physical problems from sciences and engineering. This book contains invited and contributed papers from the 8th Domain Decomposition Methods Conference. The topics addressed range from basic theoretical research to industrial applications: basic algorithms, multilevel methods, parallel computing, transport, wave and flow problems. Applications include problems from fluid and structural mechanics, electromagnetics and petroleum engineering.
Recent Developments In Boundary Element Methods
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Author : Evangelous J. Sapountzakis
language : en
Publisher: WIT Press
Release Date : 2010
Recent Developments In Boundary Element Methods written by Evangelous J. Sapountzakis and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Technology & Engineering categories.
This Festschrift is a collection of articles contributed by colleagues, collaborators and past students to honor Professor John T. Katsikadelis on the occasion of his 70 years. Professor Katsikadelis, now an emeritus professor at the National Technical University of Athens in Greece, is one of the BEM pioneers who started his research in this field with his PhD thesis at the Polytechnic Institute of New York in the 1970s and continued it to date.The book comprises 26 contributions by more than 50 leading researchers in Boundary Element Methods (BEM) and other Mesh Reduction Methods (MRM). All contributors are well-known scientists from Asia, Australia, Europe, and North and South America. The volume is essentially a collection of both original and review articles covering a variety of research topics in the areas of solid mechanics, fluid mechanics, potential theory, composite materials, fracture mechanics, damage mechanics, plasticity, heat transfer, dynamics and vibrations and soil-structure interaction. Invaluable to scientists, engineers and other professionals interested in the latest developments of the boundary integral equation methods, it addresses the needs of the BEM computational mechanics research community.The book is written for: researchers in academia and industry and graduate students focusing on solid and fluid mechanics as used in civil, mechanical and aerospace engineering.