Mesh Generation
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Finite Element Mesh Generation
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Author : Daniel S.H. Lo
language : en
Publisher: CRC Press
Release Date : 2015-01-15
Finite Element Mesh Generation written by Daniel S.H. Lo and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-15 with Technology & Engineering categories.
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and optimization, generation of hexahedral meshes, and large scale and parallel meshing, along with innovative unpublished meshing methods.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.
Delaunay Mesh Generation
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Author : Siu-Wing Cheng
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Delaunay Mesh Generation written by Siu-Wing Cheng and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Computers categories.
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
Geometry And Topology For Mesh Generation
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Author : Herbert Edelsbrunner
language : en
Publisher: Cambridge University Press
Release Date : 2001-05-28
Geometry And Topology For Mesh Generation written by Herbert Edelsbrunner and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-05-28 with Computers categories.
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.
Finite Element Mesh Generation
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Author : B. H. V. Topping
language : en
Publisher: Saxe-Coburg Publications
Release Date : 2004
Finite Element Mesh Generation written by B. H. V. Topping and has been published by Saxe-Coburg Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
&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.
Image Based Geometric Modeling And Mesh Generation
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Author : Yongjie (Jessica) Zhang
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-07-03
Image Based Geometric Modeling And Mesh Generation written by Yongjie (Jessica) Zhang 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 2012-07-03 with Technology & Engineering categories.
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.
Mesh Generation
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Author : Fouad Sabry
language : en
Publisher: One Billion Knowledgeable
Release Date : 2024-05-04
Mesh Generation written by Fouad Sabry and has been published by One Billion Knowledgeable this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-04 with Computers categories.
What is Mesh Generation Mesh generation is the practice of creating a mesh, a subdivision of a continuous geometric space into discrete geometric and topological cells.Often these cells form a simplicial complex.Usually the cells partition the geometric input domain.Mesh cells are used as discrete local approximations of the larger domain. Meshes are created by computer algorithms, often with human guidance through a GUI, depending on the complexity of the domain and the type of mesh desired.A typical goal is to create a mesh that accurately captures the input domain geometry, with high-quality (well-shaped) cells, and without so many cells as to make subsequent calculations intractable.The mesh should also be fine in areas that are important for the subsequent calculations. How you will benefit (I) Insights, and validations about the following topics: Chapter 1: Mesh generation Chapter 2: Finite element method Chapter 3: Partial differential equation Chapter 4: Computational fluid dynamics Chapter 5: Numerical methods for partial differential equations Chapter 6: Elliptic partial differential equation Chapter 7: Finite difference method Chapter 8: Numerical continuation Chapter 9: Finite volume method Chapter 10: Isogeometric analysis (II) Answering the public top questions about mesh generation. (III) Real world examples for the usage of mesh generation in many fields. Who this book is for Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of Mesh Generation.
Geometric Modeling And Mesh Generation From Scanned Images
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Author : Yongjie Jessica Zhang
language : en
Publisher: CRC Press
Release Date : 2018-09-03
Geometric Modeling And Mesh Generation From Scanned Images written by Yongjie Jessica Zhang and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-03 with Computers categories.
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.
Modeling Mesh Generation And Adaptive Numerical Methods For Partial Differential Equations
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Author : Ivo Babuska
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Modeling Mesh Generation And Adaptive Numerical Methods For Partial Differential Equations written by Ivo Babuska 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 2012-12-06 with Mathematics categories.
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.
The Finite Element Method Its Basis And Fundamentals
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Author : O. C. Zienkiewicz
language : en
Publisher: Elsevier
Release Date : 2005-05-26
The Finite Element Method Its Basis And Fundamentals written by O. C. Zienkiewicz and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-26 with Technology & Engineering categories.
The Sixth Edition of this influential best-selling book delivers the most up-to-date and comprehensive text and reference yet on the basis of the finite element method (FEM) for all engineers and mathematicians. Since the appearance of the first edition 38 years ago, The Finite Element Method provides arguably the most authoritative introductory text to the method, covering the latest developments and approaches in this dynamic subject, and is amply supplemented by exercises, worked solutions and computer algorithms.• The classic FEM text, written by the subject's leading authors • Enhancements include more worked examples and exercises• With a new chapter on automatic mesh generation and added materials on shape function development and the use of higher order elements in solving elasticity and field problemsActive research has shaped The Finite Element Method into the pre-eminent tool for the modelling of physical systems. It maintains the comprehensive style of earlier editions, while presenting the systematic development for the solution of problems modelled by linear differential equations. Together with the second and third self-contained volumes (0750663219 and 0750663227), The Finite Element Method Set (0750664312) provides a formidable resource covering the theory and the application of FEM, including the basis of the method, its application to advanced solid and structural mechanics and to computational fluid dynamics. - The classic introduction to the finite element method, by two of the subject's leading authors - Any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in this key text
Adaptive Moving Mesh Methods
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Author : Weizhang Huang
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-26
Adaptive Moving Mesh Methods written by Weizhang Huang 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 2010-10-26 with Mathematics categories.
Moving mesh methods are an effective, mesh-adaptation-based approach for the numerical solution of mathematical models of physical phenomena. Currently there exist three main strategies for mesh adaptation, namely, to use mesh subdivision, local high order approximation (sometimes combined with mesh subdivision), and mesh movement. The latter type of adaptive mesh method has been less well studied, both computationally and theoretically. 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. The partial differential equations considered are mainly parabolic (diffusion-dominated, rather than convection-dominated). The extensive bibliography provides an invaluable guide to the literature in this field. Each chapter contains useful exercises. Graduate students, researchers and practitioners working in this area will benefit from this book. Weizhang Huang is a Professor in the Department of Mathematics at the University of Kansas. Robert D. Russell is a Professor in the Department of Mathematics at Simon Fraser University.