Delaunay Mesh Generation
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Author | : Siu-Wing Cheng |
Publisher | : CRC Press |
Total Pages | : 404 |
Release | : 2016-04-19 |
Genre | : Computers |
ISBN | : 1584887311 |
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 | : 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and optimization, generation of hexahedral meshes, and large scale and parallel meshing, along with innovative unpublished meshing methods.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 | : Rao V. Garimella |
Publisher | : Springer Science & Business Media |
Total Pages | : 622 |
Release | : 2008-10-23 |
Genre | : Technology & Engineering |
ISBN | : 3540879218 |
This volume contains the articles presented at the 17th International Meshing Roundtable (IMR) organized, in part, by Sandia National Laboratories and held October 12-15, 2008. The volume presents recent results of mesh generation and adaptation which has applications to finite element simulation. It introduces theoretical and novel ideas with practical potential.
Author | : Ding-Zhu Du |
Publisher | : World Scientific |
Total Pages | : 520 |
Release | : 1995 |
Genre | : Mathematics |
ISBN | : 9789810218768 |
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.
Author | : Ming C. Lin |
Publisher | : Springer Science & Business Media |
Total Pages | : 244 |
Release | : 1996-09-25 |
Genre | : Computers |
ISBN | : 9783540617853 |
Content Description #Anthology selected from contributions to the First ACM Workshop on Applied Computational Geometry.#Includes bibliographical references and index.
Author | : Paul-Louis George |
Publisher | : Hermes Science Publications |
Total Pages | : 413 |
Release | : 1998 |
Genre | : Technology & Engineering |
ISBN | : 9782866016920 |
The authors describe meshing techniques based on Delauney triangulation, which is used in construction projects. They also discuss classical mesh generation techniques and more advanced topics such as isotop, planar, curve surface and volumetric testing. The theoretical discussion is complemented by examples of practical applications.
Author | : Herbert Edelsbrunner |
Publisher | : Cambridge University Press |
Total Pages | : 206 |
Release | : 2001-05-28 |
Genre | : Computers |
ISBN | : 9780521793094 |
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.
Author | : Jason W. DeGraw |
Publisher | : |
Total Pages | : 168 |
Release | : 1996 |
Genre | : Numerical grid generation (Numerical analysis) |
ISBN | : |
Author | : Joe F. Thompson |
Publisher | : CRC Press |
Total Pages | : 1136 |
Release | : 1998-12-29 |
Genre | : Technology & Engineering |
ISBN | : 9781420050349 |
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 | : Øyvind Hjelle |
Publisher | : Springer Science & Business Media |
Total Pages | : 239 |
Release | : 2006-09-19 |
Genre | : Mathematics |
ISBN | : 3540332618 |
This book will serve as a valuable source of information about triangulations for the graduate student and researcher. With emphasis on computational issues, it presents the basic theory necessary to construct and manipulate triangulations. In particular, the book gives a tour through the theory behind the Delaunay triangulation, including algorithms and software issues. It also discusses various data structures used for the representation of triangulations.