Finite Element Mesh Generation

Author : Daniel S.H. Lo
Publisher : CRC Press
Page : 676 pages
File Size : 47,5 Mb
Release : 2015-01-15
Category : Technology & Engineering
ISBN : 9780415690485

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Finite Element Mesh Generation by Daniel S.H. Lo Pdf

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and optimization, generation of hexahedral meshes, and large scale and parallel meshing, along with innovative unpublished meshing methods.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 : Pascal Jean Frey,Paul L. George
Publisher : Kogan Page Publishers
Page : 820 pages
File Size : 54,9 Mb
Release : 2000
Category : Mathematics
ISBN : 1903398002

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Mesh Generation by Pascal Jean Frey,Paul L. George Pdf

A comprehensive survey, this study examines the different algorithms and data structures used in triangulation and mesh generation that are widely employed in various engineering fields that make use of physical models based on partial differential equations (PDE). Many aspects of mesh generation are described, including modification tools, evaluation criteria, optimization, adaptive construction, and parallel techniques.

Author : B. H. V. Topping
Publisher : Saxe-Coburg Publications
Page : 304 pages
File Size : 54,6 Mb
Release : 2004
Category : Mathematics
ISBN : UOM:39015059110091

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Finite Element Mesh Generation by B. H. V. Topping Pdf

&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.

Author : Siu-Wing Cheng,Tamal K. Dey,Jonathan Shewchuk
Publisher : CRC Press
Page : 404 pages
File Size : 46,7 Mb
Release : 2016-04-19
Category : Computers
ISBN : 9781584887317

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Delaunay Mesh Generation by Siu-Wing Cheng,Tamal K. Dey,Jonathan Shewchuk Pdf

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

Author : Paul L. George
Publisher : Unknown
Page : 356 pages
File Size : 53,8 Mb
Release : 1991
Category : Computers
ISBN : STANFORD:36105033207080

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Automatic Mesh Generation by Paul L. George Pdf

Author : Pascal Frey,Paul-Louis George
Publisher : John Wiley & Sons
Page : 848 pages
File Size : 54,6 Mb
Release : 2013-03-11
Category : Technology & Engineering
ISBN : 9781118623824

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Mesh Generation by Pascal Frey,Paul-Louis George Pdf

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.

Author : Michael Okereke,Simeon Keates
Publisher : Springer
Page : 472 pages
File Size : 43,5 Mb
Release : 2018-01-23
Category : Technology & Engineering
ISBN : 9783319671253

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Finite Element Applications by Michael Okereke,Simeon Keates Pdf

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.

Author : Yongjie Jessica Zhang
Publisher : CRC Press
Page : 197 pages
File Size : 46,7 Mb
Release : 2018-09-03
Category : Computers
ISBN : 9781315360225

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Geometric Modeling and Mesh Generation from Scanned Images by Yongjie Jessica Zhang Pdf

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.

Author : Yongjie (Jessica) Zhang
Publisher : Springer Science & Business Media
Page : 302 pages
File Size : 41,7 Mb
Release : 2012-07-03
Category : Technology & Engineering
ISBN : 9789400742550

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Image-Based Geometric Modeling and Mesh Generation by Yongjie (Jessica) Zhang Pdf

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.

Author : Joe F. Thompson,Bharat K. Soni,Nigel P. Weatherill
Publisher : CRC Press
Page : 1136 pages
File Size : 45,5 Mb
Release : 1998-12-29
Category : Technology & Engineering
ISBN : 1420050346

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Handbook of Grid Generation by Joe F. Thompson,Bharat K. Soni,Nigel P. Weatherill Pdf

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.

Author : Ivo Babuska,Joseph E. Flaherty,William D. Henshaw,John E. Hopcroft,Joseph E. Oliger,Tayfun Tezduyar
Publisher : Springer Science & Business Media
Page : 487 pages
File Size : 42,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461242482

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Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations by Ivo Babuska,Joseph E. Flaherty,William D. Henshaw,John E. Hopcroft,Joseph E. Oliger,Tayfun Tezduyar Pdf

With considerations such as complex-dimensional geometries and nonlinearity, the computational solution of partial differential systems has become so involved that it is important to automate decisions that have been normally left to the individual. This book covers such decisions: 1) mesh generation with links to the software generating the domain geometry, 2) solution accuracy and reliability with mesh selection linked to solution generation. This book is suited for mathematicians, computer scientists and engineers and is intended to encourage interdisciplinary interaction between the diverse groups.

Author : Thi Nhu Hanh Vo
Publisher : Unknown
Page : 0 pages
File Size : 52,6 Mb
Release : 1988
Category : Engineering mathematics
ISBN : OCLC:1108671675

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Mesh Generation for Finite Element Analysis by Thi Nhu Hanh Vo Pdf

Author : Udo Seiffert
Publisher : Physica
Page : 289 pages
File Size : 49,7 Mb
Release : 2013-11-11
Category : Computers
ISBN : 9783790818109

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Self-Organizing Neural Networks by Udo Seiffert Pdf

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.

Author : Pascal Jean Frey,Paul L. George
Publisher : Hermes Science Publications
Page : 814 pages
File Size : 53,6 Mb
Release : 2000
Category : Mathematics
ISBN : 1903398002

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Mesh Generation by Pascal Jean Frey,Paul L. George Pdf

The numerical simulation of physical problems expressed in terms of partial differential equations (so-called PDE's) using a finite element, finite volume, boundary element, or any other numerical method requires the discretization of the domain of interest into a set of elements, i.e. a mesh. The differential equations are approximated by a set of algebraic equations on this mesh, this set being then solved to provide the approximate solution of the partial differential system over the field. The discretization requires certain properties for the solution to be exploitable and must at least conform to all domain boundaries in order to accurately represent boundary conditions. Consequently, the mesh generation stage, as an essential pre-requisite, is of utmost importance in the computational schemes, as it is related to the convergence of the computational scheme as well as to the accuracy of the numerical solutions. There is indeed a variety of algorithms suitable to produce such meshes. Some of these methods are designed to handle specific geometric situations while others can be used in a more general context. User-driven, semi-automatic as well as fully automatic methods exist leading to structured, unstructured or mixed meshes. The mesh generation problems are mainly related to the boundary meshing (line, curve and surface meshing) and domain meshing issues (planar domain or volumetric domain). Numerous computational issues must be carefully addressed for designing reliable and robust meshing algorithms. These issues concern computer-related data structures and algorithms (low-level routines) as well as advanced data structures and computational schemes (high-level routines). In this regard, basic computational tools, geometric and discrete geometric notions, computational and mesh data structures, element and mesh definitions are of significant importance. The aim 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 will also be described, for instance mesh modification tools, mesh evaluation criteria, mesh optimization, including even adaptive mesh construction as well as parallel meshing techniques.

Author : Kenneth Baldwin
Publisher : Unknown
Page : 74 pages
File Size : 45,9 Mb
Release : 1986
Category : Computer graphics
ISBN : LCCN:86022348

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Modern Methods for Automating Finite Element Mesh Generation by Kenneth Baldwin Pdf