Delaunay Mesh Generation

Author: Siu-Wing Cheng,Tamal K. Dey,Jonathan Shewchuk

Publisher: CRC Press

ISBN: 1584887311

Category: Computers

Page: 410

View: 5106

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 these meshing algorithms work. The book is one of the first to integrate a vast amount of cutting-edge material on Delaunay triangulations. It begins with introducing the problem of mesh generation and describing algorithms for constructing Delaunay triangulations. The authors then present algorithms for generating high-quality meshes in polygonal and polyhedral domains. They also illustrate how to use restricted Delaunay triangulations to extend the algorithms to surfaces with ridges and patches and volumes with smooth surfaces. For researchers and graduate students, the book offers a rigorous theoretical analysis of mesh generation methods. It provides the necessary mathematical foundations and core theoretical results upon which researchers can build even better algorithms in the future. For engineers, the book shows how the algorithms work well in practice. It explains how to effectively implement them in the design and programming of mesh generation software.

Geometric Modeling and Mesh Generation from Scanned Images

Author: Yongjie Jessica Zhang

Publisher: CRC Press

ISBN: 1482227770

Category: Computers

Page: 354

View: 6653

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.

Finite Element Mesh Generation

Author: Daniel S.H. Lo

Publisher: CRC Press

ISBN: 041569048X

Category: Technology & Engineering

Page: 672

View: 9990

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 Triangulation and Meshing

Application to Finite Elements

Author: Paul-Louis George,Houman Borouchaki

Publisher: Kogan Page Publishers

ISBN: 9782866016920

Category: Technology & Engineering

Page: 413

View: 6473

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.

Proceedings of the 18th International Meshing Roundtable

Author: Brett W. Clark

Publisher: Springer Science & Business Media

ISBN: 9783642043192

Category: Computers

Page: 654

View: 3608

This volume contains the articles presented at the 18th International Meshing Roundtable (IMR) organized, in part, by Sandia National Laboratories and held October 25-28, 2009 in Salt Lake City, Utah, USA. 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.

Computing and Combinatorics

7th Annual International Conference, COCOON 2001, Guilin, China, August 20-23, 2001, Proceedings

Author: Jie Wang

Publisher: Springer Science & Business Media

ISBN: 3540424946

Category: Computers

Page: 602

View: 5592

Theauthorsofsubmittedpaperscomefromthefollowingcountriesand- gions:Australia,Austria,Bangladesh,Canada,China(includingHongKongand Taiwan),CzechRepublic,France,Germany,India,Israel,Italy,Japan,Korea, NewZealand,TheNetherlands,Poland,Russia,Singapore,Spain,Switzerland, U. K. ,andU. S. A. EachpaperwasgiventoatleastthreeProgramCommittee members,whoinsomecaseswereassistedbysubreferees. Inadditiontothe- lectedpapers,theconferencealsoincludedtwoinvitedpresentationsbyBernard ChazelleandAviWigderson. Topromoteyoungresearchers,theHaoWangAwardthisyearwasgiven toapaperselectedfrompaperswrittensolelybyauthorswho,atthetimeof submission,wereeitherstudentsorhadreceivedtheirdoctoraldegreeswithinthe previous?veyears. Iamhappytoannouncethattherecipientofthisawardwas Xiang-YangLiforhispaper“GeneratingWell-Shapedd-DimensionalDelaunay Meshes”.

Proceedings of the 16th International Meshing Roundtable

Author: Michael L. Brewer,David Marcum

Publisher: Springer Science & Business Media

ISBN: 3540751025

Category: Computers

Page: 604

View: 2353

This volume contains the articles presented at the 16th International Meshing Roundtable (IMR) organized, in part, by Sandia National Laboratories and held in Seattle, Washington, U.S.A. in October, 2007. 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.

Computational Fluid Dynamics Review 2010

Author: M. M. Hafez,K?ichi ?shima,Dochan Kwak

Publisher: World Scientific

ISBN: 981431336X

Category: Science

Page: 618

View: 8802

This volume contains 25 review articles by experts which provide up-to-date information about the recent progress in computational fluid dynamics (CFD). Due to the multidisciplinary nature of CFD, it is difficult to keep up with all the important developments in related areas. CFD Review 2010 would therefore be useful to researchers by covering the state-of-the-art in this fast-developing field.

Finite element mesh generation

Author: B. H. V. Topping,J. Muylle,P. Ivanyi

Publisher: Saxe-Coburg Pubns


Category: Mathematics

Page: 272

View: 6083

"Addressing both theoretical and implementation issues, this comprehensive work discusses both structured and unstructured mesh generation techniques. The advancing front, paving, and Delaunay techniques, for both two and three dimensions, are addressed. Also described is an integrated framework for two-dimensional unstructured methods, including accurate control over mesh size, boundary refinement procedures, and post-processing tasks."

Analysis of Images, Social Networks and Texts

Third International Conference, AIST 2014, Yekaterinburg, Russia, April 10-12, 2014, Revised Selected Papers

Author: Dmitry I. Ignatov,Mikhail Yu. Khachay,Alexander Panchenko,Natalia Konstantinova,Rostislav E. Yavorsky

Publisher: Springer

ISBN: 331912580X

Category: Computers

Page: 282

View: 9687

This book constitutes the proceedings of the Third International Conference on Analysis of Images, Social Networks and Texts, AIST 2014, held in Yekaterinburg, Russia, in April 2014. The 11 full and 10 short papers were carefully reviewed and selected from 74 submissions. They are presented together with 3 short industrial papers, 4 invited papers and tutorials. The papers deal with topics such as analysis of images and videos; natural language processing and computational linguistics; social network analysis; machine learning and data mining; recommender systems and collaborative technologies; semantic web, ontologies and their applications; analysis of socio-economic data.

Adaptive Methods for Partial Differential Equations

Author: Ivo Babushka,Jagdish Chandra,Joseph E. Flaherty

Publisher: SIAM

ISBN: 9780898712421

Category: Mathematics

Page: 265

View: 1072

"Proceedings of the Workshop on Adaptive Computational Methods for Partial Differential Equations, Rensselaer Polytechnic Institute, October 13-15, 1988"--T.p. verso.

Scientific Computing in Electrical Engineering

Author: G. Ciuprina,D. Ioan

Publisher: Springer Science & Business Media

ISBN: 3540719806

Category: Computers

Page: 464

View: 8830

This book is a collection of selected papers presented at the last Scientific Computing in Electrical Engineering (SCEE) Conference, held in Sinaia, Romania, in 2006. The series of SCEE conferences aims at addressing mathematical problems which have a relevance to industry, with an emphasis on modeling and numerical simulation of electronic circuits, electromagnetic fields but also coupled problems and general mathematical and computational methods.

The Finite Element Method

An Introduction with Partial Differential Equations

Author: A. J. Davies

Publisher: OUP Oxford

ISBN: 0191630330

Category: Mathematics

Page: 312

View: 7760

The finite element method is a technique for solving problems in applied science and engineering. The essence of this book is the application of the finite element method to the solution of boundary and initial-value problems posed in terms of partial differential equations. The method is developed for the solution of Poisson's equation, in a weighted-residual context, and then proceeds to time-dependent and nonlinear problems. The relationship with the variational approach is also explained. This book is written at an introductory level, developing all the necessary concepts where required. Consequently, it is well-placed to be used as a textbook for a course in finite elements for final year undergraduates, the usual place for studying finite elements. There are worked examples throughout and each chapter has a set of exercises with detailed solutions.

SIAM Journal on Scientific Computing

A Publication of the Society for Industrial and Applied Mathematics

Author: N.A

Publisher: N.A


Category: Mathematical statistics

Page: N.A

View: 5039