Adaptive Meshing With Boundary Elements
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| Author | : José Carlos Miranda-Valenzuela |
| Publisher | : Computational Mechanics |
| Total Pages | : 324 |
| Release | : 2002 |
| Genre | : Mathematics |
| ISBN | : |
This title is devoted to the formulation and implementation of new reliable and efficient error indicators capable of providing adaptive meshing processes in the Boundary Element Method (BEM). It is organised in four sections. The first gives a review of the basic equations of solid mechanics, while the second presents the boundary integral equations required to formulate conventional and higher order boundary elements. The third section focuses on the computation of the stresses on the boundary and provides an attractive alternative global re-analysis technique which can be used to obtain accurate values for those quantities. In the final section the authors review some of the most relevant error indicators that have been proposed and present two new alternatives that can be used to estimate the error in the numerical solution obtained with the BEM.The self-contained treatment of topics and the new alternatives proposed to compute reliable and efficient error indicators make this text a valuable reference for readers interested in learning about adaptive meshing techniques, as well as for researchers working in the field.
| Author | : X. W. Gao |
| Publisher | : WIT Press |
| Total Pages | : 569 |
| Release | : 2013-12-11 |
| Genre | : Mathematics |
| ISBN | : 1845648412 |
The Conference on Boundary Elements and Mesh Reduction Methods (BEM/MRM) is recognised as the international forum for the latest advances in these techniques and their applications in science and engineering. Launched in 1978 the Conference continues to attract original contributions and has become the forum for their rapid dissemination throughout the international scientific community. Practically all new boundary element ideas have first appeared in the proceedings of these meetings.
| Author | : L. Škerget |
| Publisher | : WIT Press |
| Total Pages | : 289 |
| Release | : 2008 |
| Genre | : Mathematics |
| ISBN | : 1845641213 |
The major motivation behind the Boundary Element Method (BEM) was to reduce the dependency of analysis on the definition of meshes. This has allowed the method to expand naturally into new techniques such as Dual Reciprocity and all other Mesh reduction Methods (MRM). MRM and BEM continue to be very active areas of research with many of the resulting techniques applied to solve increasingly complex problems. This book contains papers presented at the much-acclaimed thirtieth International Conference on Boundary Elements and other Mesh Reductions Methods . The proceedings contain papers on practically all major developments in Boundary Elements, including the most recent MRM techniques, grouped under the following topics: Fluid Flow; Heat Transfer; Electrical Engineering and Electromagnetics; Damage Mechanics and Fracture; Mesh Reduction Techniques; Advanced Computational Techniques
| Author | : C. A. Brebbia |
| Publisher | : WIT Press |
| Total Pages | : 353 |
| Release | : 2007 |
| Genre | : Mathematics |
| ISBN | : 1845640764 |
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.
| Author | : C. A. Brebbia |
| Publisher | : WIT Press |
| Total Pages | : 361 |
| Release | : 2006 |
| Genre | : Mathematics |
| ISBN | : 1845641647 |
This volume contains papers from the World Conference on Boundary Elements and other Mesh Reduction Methods, an internationally recognized forum for the dissemination of the latest advances on Mesh Reduction Techniques and their applications in sciences and engineering. The book publishes articles dealing with computational issues and software developments in addition to those of a more theoretical nature. Engineers and scientists within the areas of numerical analysis, boundary elements and meshless methods will find the text invaluable. Topics include: Advances in Mesh Reduction Methods; Meshless Techniques; Advanced Formulations; Dual Reciprocity Method; Modified Trefftz Method; Fundamental Solution Method; Damage Mechanics and Fracture; Advanced Structural Applications; Dynamics and Vibrations; Material Characterization; Acoustics; Electrical Engineering and Electromagnetics; Heat and Mass Transfer; Fluid Mechanics Problems; Wave Propagation; Inverse Problems and Computational Techniques.
| Author | : Daniel S.H. Lo |
| Publisher | : CRC Press |
| Total Pages | : 676 |
| Release | : 2015-01-15 |
| Genre | : Technology & Engineering |
| ISBN | : 041569048X |
Highlights the Progression of Meshing Technologies and Their Applications Finite Element Mesh Generation provides a concise and comprehensive guide to the application of finite element mesh generation over 2D domains, curved surfaces, and 3D space. Organised according to the geometry and dimension of the problem domains, it develops from the basic meshing algorithms to the most advanced schemes to deal with problems with specific requirements such as boundary conformity, adaptive and anisotropic elements, shape qualities, and mesh optimization. It sets out the fundamentals of popular techniques, including: Delaunay triangulation Advancing-front (ADF) approach Quadtree/Octree techniques Refinement and optimization-based strategies From the geometrical and the topological aspects and their associated operations and inter-relationships, each approach is vividly described and illustrated with examples. Beyond the algorithms, the book also explores the practice of using metric tensor and surface curvatures for generating anisotropic meshes on parametric space. It presents results from research including 3D anisotropic meshing, mesh generation over unbounded domains, meshing by means of intersection, re-meshing by Delaunay-ADF approach, mesh refinement and optimization, generation of hexahedral meshes, and large scale and parallel meshing, along with innovative unpublished meshing methods. The author provides illustrations of major meshing algorithms, pseudo codes, and programming codes in C++ or FORTRAN. Geared toward research centers, universities, and engineering companies, Finite Element Mesh Generation describes mesh generation methods and fundamental techniques, and also serves as a valuable reference for laymen and experts alike.
| Author | : C.A. Brebbia |
| Publisher | : WIT Press |
| Total Pages | : 325 |
| Release | : 2014-09-08 |
| Genre | : Mathematics |
| ISBN | : 184564896X |
Since 1978 the conference on Boundary Elements and Mesh Reduction Methods has produced a successful series of volumes in which all major developments in the field have been presented. The 37th volume in the series continues this success by bringing together the latest advanced research carried out by different groups around the world. The included papers cover topics such as: Advanced meshless and mesh reduction methods; Advanced formulations; Computational methods; Stochastic modelling; Emerging applications; Solid mechanics applications; Dynamics and vibrations; Damage mechanics and fracture; Material characterisation; Fluid flow modelling; Electrical engineering and electromagnetics; Heat and mass transfer.
| Author | : S. Kobayashi |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 422 |
| Release | : 2013-11-11 |
| Genre | : Technology & Engineering |
| ISBN | : 3662061538 |
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.
| Author | : Weizhang Huang |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 446 |
| Release | : 2010-10-26 |
| Genre | : Mathematics |
| ISBN | : 1441979166 |
This book is about adaptive mesh generation and moving mesh methods for the numerical solution of time-dependent partial differential equations. It presents a general framework and theory for adaptive mesh generation and gives a comprehensive treatment of moving mesh methods and their basic components, along with their application for a number of nontrivial physical problems. Many explicit examples with computed figures illustrate the various methods and the effects of parameter choices for those methods. Graduate students, researchers and practitioners working in this area will benefit from this book.
| Author | : Chongmin Song |
| Publisher | : John Wiley & Sons |
| Total Pages | : 775 |
| Release | : 2018-06-19 |
| Genre | : Science |
| ISBN | : 1119388457 |
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.
