Finite Element Mesh Generation

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Author :
Publisher : CRC Press
ISBN 13 : 041569048X
Total Pages : 676 pages
Book Rating : 4.4/5 (156 download)

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Book Synopsis Finite Element Mesh Generation by : Daniel S.H. Lo

Download or read book Finite Element Mesh Generation written by Daniel S.H. Lo and published by CRC Press. This book was released on 2015-01-15 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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and optimization, generation of hexahedral meshes, and large scale and parallel meshing, along with innovative unpublished meshing methods.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.

Finite Element Mesh Generation

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Author :
Publisher : Saxe-Coburg Publications
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Finite Element Mesh Generation by : B. H. V. Topping

Download or read book Finite Element Mesh Generation written by B. H. V. Topping and published by Saxe-Coburg Publications. This book was released on 2004 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: &Quot;This book describes both structured and unstructured mesh generation techniques. Structured mesh generation is covered briefly and the algebraic, multi-block technique is discussed in more detail. The main part of the book covers unstructured mesh generation using the advancing front, paving and Delaunay techniques. The Delaunay method is described in two and three dimensions. Both theoretical and implementation issues are discussed in detail. An integrated framework that is used for the two dimensional unstructured methods is also described. Common features of the framework include: accurate control over mesh size; boundary refinement procedures; and postprocessing tasks such as smoothing. Methods to convert triangular meshes to quadrilateral meshes are also presented. Mesh quality of the different mesh generation procedures is addressed with some examples.". "The book will be of interest to engineers, computer scientists and mathematicians working on mesh generation and finite element methods. The C source code for the procedures described in the book is available via the authors's website."--BOOK JACKET.

Mesh Generation

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1118623827
Total Pages : 848 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Mesh Generation by : Pascal Frey

Download or read book Mesh Generation written by Pascal Frey and published by John Wiley & Sons. This book was released on 2013-03-11 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the second edition of this book is to provide a comprehensive survey of the different algorithms and data structures useful for triangulation and meshing construction. In addition, several aspects are given full coverage, such as mesh modification tools, mesh evaluation criteria, mesh optimization, adaptive mesh construction and parallel meshing techniques. This new edition has been comprehensively updated and also includes a new chapter on mobile or deformable meshes.

Delaunay Mesh Generation

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Publisher : CRC Press
ISBN 13 : 1584887311
Total Pages : 404 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Delaunay Mesh Generation by : Siu-Wing Cheng

Download or read book Delaunay Mesh Generation written by Siu-Wing Cheng and published by CRC Press. This book was released on 2016-04-19 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by authors at the forefront of modern algorithms research, Delaunay Mesh Generation demonstrates the power and versatility of Delaunay meshers in tackling complex geometric domains ranging from polyhedra with internal boundaries to piecewise smooth surfaces. Covering both volume and surface meshes, the authors fully explain how and why thes

Automatic Mesh Generation

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Author :
Publisher : Wiley
ISBN 13 : 9780471930976
Total Pages : 344 pages
Book Rating : 4.9/5 (39 download)

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Book Synopsis Automatic Mesh Generation by : P. L. George

Download or read book Automatic Mesh Generation written by P. L. George and published by Wiley. This book was released on 1992-01-30 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mesh generation is a necessary prerequisite for the numerical analysis of engineering problems--both geometrically complicated and large size. With an increasing need for automatic applications to accomplish these complicated tasks, it offers an in-depth survey of existing techniques for mesh generation. A number of problems are given and their solutions carefully explained. Also includes detailed coverage of traditional structured grids along with unstructured meshes of triangles and tetrahedra.

Finite Element Applications

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Publisher : Springer
ISBN 13 : 3319671251
Total Pages : 488 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Finite Element Applications by : Michael Okereke

Download or read book Finite Element Applications written by Michael Okereke and published by Springer. This book was released on 2018-01-23 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook demonstrates the application of the finite element philosophy to the solution of real-world problems and is aimed at graduate level students, but is also suitable for advanced undergraduate students. An essential part of an engineer’s training is the development of the skills necessary to analyse and predict the behaviour of engineering systems under a wide range of potentially complex loading conditions. Only a small proportion of real-life problems can be solved analytically, and consequently, there arises the need to be able to use numerical methods capable of simulating real phenomena accurately. The finite element (FE) method is one such widely used numerical method. Finite Element Applications begins with demystifying the ‘black box’ of finite element solvers and progresses to addressing the different pillars that make up a robust finite element solution framework. These pillars include: domain creation, mesh generation and element formulations, boundary conditions, and material response considerations. Readers of this book will be equipped with the ability to develop models of real-world problems using industry-standard finite element packages.

Image-Based Geometric Modeling and Mesh Generation

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Publisher : Springer Science & Business Media
ISBN 13 : 940074255X
Total Pages : 302 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Image-Based Geometric Modeling and Mesh Generation by : Yongjie (Jessica) Zhang

Download or read book Image-Based Geometric Modeling and Mesh Generation written by Yongjie (Jessica) Zhang and published by Springer Science & Business Media. This book was released on 2012-07-03 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a new interdisciplinary research area, “image-based geometric modeling and mesh generation” integrates image processing, geometric modeling and mesh generation with finite element method (FEM) to solve problems in computational biomedicine, materials sciences and engineering. It is well known that FEM is currently well-developed and efficient, but mesh generation for complex geometries (e.g., the human body) still takes about 80% of the total analysis time and is the major obstacle to reduce the total computation time. It is mainly because none of the traditional approaches is sufficient to effectively construct finite element meshes for arbitrarily complicated domains, and generally a great deal of manual interaction is involved in mesh generation. This contributed volume, the first for such an interdisciplinary topic, collects the latest research by experts in this area. These papers cover a broad range of topics, including medical imaging, image alignment and segmentation, image-to-mesh conversion, quality improvement, mesh warping, heterogeneous materials, biomodelcular modeling and simulation, as well as medical and engineering applications. This contributed volume, the first for such an interdisciplinary topic, collects the latest research by experts in this area. These papers cover a broad range of topics, including medical imaging, image alignment and segmentation, image-to-mesh conversion, quality improvement, mesh warping, heterogeneous materials, biomodelcular modeling and simulation, as well as medical and engineering applications. This contributed volume, the first for such an interdisciplinary topic, collects the latest research by experts in this area. These papers cover a broad range of topics, including medical imaging, image alignment and segmentation, image-to-mesh conversion, quality improvement, mesh warping, heterogeneous materials, biomodelcular modeling and simulation, as well as medical and engineering applications. This contributed volume, the first for such an interdisciplinary topic, collects the latest research by experts in this area. These papers cover a broad range of topics, including medical imaging, image alignment and segmentation, image-to-mesh conversion, quality improvement, mesh warping, heterogeneous materials, biomodelcular modeling and simulation, as well as medical and engineering applications.

Geometric Modeling and Mesh Generation from Scanned Images

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Author :
Publisher : CRC Press
ISBN 13 : 1482227770
Total Pages : 352 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Geometric Modeling and Mesh Generation from Scanned Images by : Yongjie Jessica Zhang

Download or read book Geometric Modeling and Mesh Generation from Scanned Images written by Yongjie Jessica Zhang and published by CRC Press. This book was released on 2016-04-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cutting-Edge Techniques to Better Analyze and Predict Complex Physical Phenomena Geometric Modeling and Mesh Generation from Scanned Images shows how to integrate image processing, geometric modeling, and mesh generation with the finite element method (FEM) to solve problems in computational biology, medicine, materials science, and engineering. Based on the author’s recent research and course at Carnegie Mellon University, the text explains the fundamentals of medical imaging, image processing, computational geometry, mesh generation, visualization, and finite element analysis. It also explores novel and advanced applications in computational biology, medicine, materials science, and other engineering areas. One of the first to cover this emerging interdisciplinary field, the book addresses biomedical/material imaging, image processing, geometric modeling and visualization, FEM, and biomedical and engineering applications. It introduces image-mesh-simulation pipelines, reviews numerical methods used in various modules of the pipelines, and discusses several scanning techniques, including ones to probe polycrystalline materials. The book next presents the fundamentals of geometric modeling and computer graphics, geometric objects and transformations, and curves and surfaces as well as two isocontouring methods: marching cubes and dual contouring. It then describes various triangular/tetrahedral and quadrilateral/hexahedral mesh generation techniques. The book also discusses volumetric T-spline modeling for isogeometric analysis (IGA) and introduces some new developments of FEM in recent years with applications.

Computing in Euclidean Geometry

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Author :
Publisher : World Scientific
ISBN 13 : 9789810218768
Total Pages : 520 pages
Book Rating : 4.2/5 (187 download)

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Book Synopsis Computing in Euclidean Geometry by : Ding-Zhu Du

Download or read book Computing in Euclidean Geometry written by Ding-Zhu Du and published by World Scientific. This book was released on 1995 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of surveys and exploratory articles about recent developments in the field of computational Euclidean geometry. Topics covered include the history of Euclidean geometry, Voronoi diagrams, randomized geometric algorithms, computational algebra, triangulations, machine proofs, topological designs, finite-element mesh, computer-aided geometric designs and Steiner trees. This second edition contains three new surveys covering geometric constraint solving, computational geometry and the exact computation paradigm.

The Finite Element Method for Electromagnetic Modeling

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Publisher : John Wiley & Sons
ISBN 13 : 0470393807
Total Pages : 618 pages
Book Rating : 4.4/5 (73 download)

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Book Synopsis The Finite Element Method for Electromagnetic Modeling by : Gérard Meunier

Download or read book The Finite Element Method for Electromagnetic Modeling written by Gérard Meunier and published by John Wiley & Sons. This book was released on 2010-01-05 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by specialists of modeling in electromagnetism, this book provides a comprehensive review of the finite element method for low frequency applications. Fundamentals of the method as well as new advances in the field are described in detail. Chapters 1 to 4 present general 2D and 3D static and dynamic formulations by the use of scalar and vector unknowns and adapted interpolations for the fields (nodal, edge, face or volume). Chapter 5 is dedicated to the presentation of different macroscopic behavior laws of materials and their implementation in a finite element context: anisotropy and hysteretic properties for magnetic sheets, iron losses, non-linear permanent magnets and superconductors. More specific formulations are then proposed: the modeling of thin regions when finite elements become misfit (Chapter 6), infinite domains by using geometrical transformations (Chapter 7), the coupling of 2D and 3D formulations with circuit equations (Chapter 8), taking into account the movement, particularly in the presence of Eddy currents (Chapter 9) and an original approach for the treatment of geometrical symmetries when the sources are not symmetric (Chapter 10). Chapters 11 to 13 are devoted to coupled problems: magneto-thermal coupling for induction heating, magneto-mechanical coupling by introducing the notion of strong and weak coupling and magneto-hydrodynamical coupling focusing on electromagnetic instabilities in fluid conductors. Chapter 14 presents different meshing methods in the context of electromagnetism (presence of air) and introduces self-adaptive mesh refinement procedures. Optimization techniques are then covered in Chapter 15, with the adaptation of deterministic and probabilistic methods to the numerical finite element environment. Chapter 16 presents a variational approach of electromagnetism, showing how Maxwell equations are derived from thermodynamic principles.

Handbook of Grid Generation

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Publisher : CRC Press
ISBN 13 : 9781420050349
Total Pages : 1136 pages
Book Rating : 4.0/5 (53 download)

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Book Synopsis Handbook of Grid Generation by : Joe F. Thompson

Download or read book Handbook of Grid Generation written by Joe F. Thompson and published by CRC Press. This book was released on 1998-12-29 with total page 1136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Grid Generation addresses the use of grids (meshes) in the numerical solutions of partial differential equations by finite elements, finite volume, finite differences, and boundary elements. Four parts divide the chapters: structured grids, unstructured girds, surface definition, and adaption/quality. An introduction to each section provides a roadmap through the material. This handbook covers: Fundamental concepts and approaches Grid generation process Essential mathematical elements from tensor analysis and differential geometry, particularly relevant to curves and surfaces Cells of any shape - Cartesian, structured curvilinear coordinates, unstructured tetrahedra, unstructured hexahedra, or various combinations Separate grids overlaid on one another, communicating data through interpolation Moving boundaries and internal interfaces in the field Resolving gradients and controlling solution error Grid generation codes, both commercial and freeware, as well as representative and illustrative grid configurations Handbook of Grid Generation contains 37 chapters as well as contributions from more than 100 experts from around the world, comprehensively evaluating this expanding field and providing a fundamental orientation for practitioners.

Geometry and Topology for Mesh Generation

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Publisher : Cambridge University Press
ISBN 13 : 9780521793094
Total Pages : 206 pages
Book Rating : 4.7/5 (93 download)

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Book Synopsis Geometry and Topology for Mesh Generation by : Herbert Edelsbrunner

Download or read book Geometry and Topology for Mesh Generation written by Herbert Edelsbrunner and published by Cambridge University Press. This book was released on 2001-05-28 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book combines topics in mathematics (geometry and topology), computer science (algorithms), and engineering (mesh generation). The original motivation for these topics was the difficulty faced (both conceptually and in the technical execution) in any attempt to combine elements of combinatorial and of numerical algorithms. Mesh generation is a topic where a meaningful combination of these different approaches to problem solving is inevitable. The book develops methods from both areas that are amenable to combination, and explains recent breakthrough solutions to meshing that fit into this category.The book should be an ideal graduate text for courses on mesh generation. The specific material is selected giving preference to topics that are elementary, attractive, lend themselves to teaching, useful, and interesting.

Proceedings of the 22nd International Meshing Roundtable

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Publisher : Springer Science & Business Media
ISBN 13 : 3319023357
Total Pages : 599 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Proceedings of the 22nd International Meshing Roundtable by : Josep Sarrate

Download or read book Proceedings of the 22nd International Meshing Roundtable written by Josep Sarrate and published by Springer Science & Business Media. This book was released on 2013-09-03 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the articles presented at the 22nd International Meshing Roundtable (IMR) organized, in part, by Sandia National Laboratories and was held on Oct 13-16, 2013 in Orlando, Florida, USA. The first IMR was held in 1992, and the conference series has been held annually since. Each year the IMR brings together researchers, developers, and application experts in a variety of disciplines, from all over the world, to present and discuss ideas on mesh generation and related topics. The technical papers in this volume present theoretical and novel ideas and algorithms with practical potential, as well as technical applications in science and engineering, geometric modeling, computer graphics and visualization.

Self-Organizing Neural Networks

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Publisher : Physica
ISBN 13 : 3790818100
Total Pages : 289 pages
Book Rating : 4.7/5 (98 download)

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Book Synopsis Self-Organizing Neural Networks by : Udo Seiffert

Download or read book Self-Organizing Neural Networks written by Udo Seiffert and published by Physica. This book was released on 2013-11-11 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Self-Organizing Map (SOM) is one of the most frequently used architectures for unsupervised artificial neural networks. Introduced by Teuvo Kohonen in the 1980s, SOMs have been developed as a very powerful method for visualization and unsupervised classification tasks by an active and innovative community of interna tional researchers. A number of extensions and modifications have been developed during the last two decades. The reason is surely not that the original algorithm was imperfect or inad equate. It is rather the universal applicability and easy handling of the SOM. Com pared to many other network paradigms, only a few parameters need to be arranged and thus also for a beginner the network leads to useful and reliable results. Never theless there is scope for improvements and sophisticated new developments as this book impressively demonstrates. The number of published applications utilizing the SOM appears to be unending. As the title of this book indicates, the reader will benefit from some of the latest the oretical developments and will become acquainted with a number of challenging real-world applications. Our aim in producing this book has been to provide an up to-date treatment of the field of self-organizing neural networks, which will be ac cessible to researchers, practitioners and graduated students from diverse disciplines in academics and industry. We are very grateful to the father of the SOMs, Professor Teuvo Kohonen for sup porting this book and contributing the first chapter.

Basic Structured Grid Generation

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Publisher : Elsevier
ISBN 13 : 0080472087
Total Pages : 242 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Basic Structured Grid Generation by : M Farrashkhalvat

Download or read book Basic Structured Grid Generation written by M Farrashkhalvat and published by Elsevier. This book was released on 2003-02-11 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite element, finite volume and finite difference methods use grids to solve the numerous differential equations that arise in the modelling of physical systems in engineering. Structured grid generation forms an integral part of the solution of these procedures. Basic Structured Grid Generation provides the necessary mathematical foundation required for the successful generation of boundary-conforming grids and will be an important resource for postgraduate and practising engineers.The treatment of structured grid generation starts with basic geometry and tensor analysis before moving on to identify the variety of approaches that can be employed in the generation of structured grids. The book then introduces unstructured grid generation by explaining the basics of Delaunay triangulation and advancing front techniques. - A practical, straightforward approach to this complex subject for engineers and students. - A key technique for modelling physical systems.

Advanced Computational Fluid and Aerodynamics

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Publisher : Cambridge University Press
ISBN 13 : 1107075904
Total Pages : 589 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Advanced Computational Fluid and Aerodynamics by : Paul G. Tucker

Download or read book Advanced Computational Fluid and Aerodynamics written by Paul G. Tucker and published by Cambridge University Press. This book was released on 2016-03-15 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book outlines the computational fluid dynamics evolution and gives an overview of the methods available to the engineer.

Finite Element Multidisciplinary Analysis

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Publisher : AIAA
ISBN 13 : 9781600860539
Total Pages : 458 pages
Book Rating : 4.8/5 (65 download)

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Book Synopsis Finite Element Multidisciplinary Analysis by : Kajal K. Gupta

Download or read book Finite Element Multidisciplinary Analysis written by Kajal K. Gupta and published by AIAA. This book was released on 2003 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation This book fills a gap within the finite element literature by addressing the challenges and developments in multidiscipli-nary analysis. Current developments include disciplines of structural mechanics, heat transfer, fluid mechanics, controls engineering and propulsion technology, and their interaction as encountered in many practical problems in aeronautical, aerospace, and mechanical engineering, among others. These topics are reflected in the 15 chapter titles of the book. Numerical problems are provided to illustrate the applicability of the techniques. Exercises may be solved either manually or by using suitable computer software. A version of the multidisciplinary analysis program STARS is available from the author. As a textbook, the book is useful at the senior undergraduate or graduate level. The practicing engineer will find it invaluable for solving full-scale practical problems.