عنوان
پدید آورنده
موضوع
رده
QC20.7.F56
QC20
.
7
.
F56
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
0429399626
(Number (ISBN
0429680082
(Number (ISBN
0429680090
(Number (ISBN
0429680104
(Number (ISBN
9780429399626
(Number (ISBN
9780429680083
(Number (ISBN
9780429680090
(Number (ISBN
9780429680106
Erroneous ISBN
0367023423
Erroneous ISBN
9780367023423
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
The GETMe mesh smoothing framework :
General Material Designation
[Book]
Other Title Information
a geometric way to quality finite element meshes /
First Statement of Responsibility
Dimitris Vartziotis, Joachim Wipper.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Boca Raton :
Name of Publisher, Distributor, etc.
CRC Press,
Date of Publication, Distribution, etc.
2018.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (1 volume) :
Other Physical Details
illustrations (black and white)
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
Cover; Half Title; Title; Copyrights; Contents; Chapter 1 Introduction; Chapter 2 Elements and meshes; 2.1 Elements; 2.1.1 Elements for planar and surface meshes; 2.1.2 Elements for volumetric meshes; 2.2 Meshes; 2.2.1 Introduction; 2.2.2 Mesh types; 2.3 Quality criteria; 2.3.1 Introduction; 2.3.2 The mean ratio quality criterion; 2.3.3 Mesh quality numbers; 2.4 Mesh generation; 2.4.1 Overview; 2.4.2 Delaunay meshes; Chapter 3 The finite element method; 3.1 History of the finite element method; 3.2 Fundamentals; 3.2.1 Elliptical boundary value problems; 3.2.2 Sobolev spaces
Text of Note
3.2.3 Variational formulation3.2.4 Ritz-Galerkin method; 3.2.5 Linear trial functions over triangular elements; 3.3 Influence of mesh quality on solution accuracy; Chapter 4 Mesh improvement; 4.1 Overview and classification; 4.2 Mesh smoothing; 4.2.1 Laplacian smoothing and its variants; 4.2.2 Global optimization; 4.3 Topological modifications; 4.3.1 Template-based improvement; 4.3.2 Node insertion and removal; Chapter 5 Regularizing element transformations; 5.1 Transformation of polygonal elements; 5.1.1 Classic polygon transformations; 5.1.2 Generalized regularizing polygon transformations
Text of Note
5.1.3 Customized polygon transformations5.2 Transformation of polyhedral elements; 5.2.1 Opposite face normals-based transformations; 5.2.2 Dual element-based transformations; Chapter 6 The GETMe smoothing framework; 6.1 Building blocks of the GETMe framework; 6.1.1 Basic GETMe simultaneous smoothing; 6.1.2 GETMe simultaneous smoothing; 6.1.3 GETMe sequential smoothing; 6.2 Combined GETMe algorithms; 6.2.1 GETMe smoothing; 6.2.2 Adaptive GETMe smoothing; 6.3 Properties of GETMe smoothing; 6.3.1 Influence of transformation parameters; 6.3.2 Influence of initial mesh validity and quality
Text of Note
6.3.3 Unrestricted surface mesh smoothing6.4 Extending the GETMe mesh improvement framework; 6.4.1 Surface mesh smoothing; 6.4.2 Anisotropic mesh smoothing; 6.4.3 Combining GETMe with topology modification; 6.4.4 Using GETMe for mesh untangling; Chapter 7 Numerical examples; 7.1 Polygonal meshes; 7.1.1 Mixed planar mesh; 7.1.2 Single element type surface meshes; 7.1.3 Anisotropic meshes; 7.2 Single element type volumetric meshes; 7.2.1 Tetrahedral meshes; 7.2.2 Hexahedral meshes; 7.3 Mixed element type volumetric meshes; 7.3.1 Embedded meshes; 7.3.2 Layered mesh
Text of Note
7.4 Finite element method results7.4.1 Model problem and error norms; 7.4.2 Planar example; 7.4.3 Volumetric example; Chapter 8 Extending the GETMe smoothing framework; 8.1 Alternative element transformations; 8.1.1 Rotation-based transformations; 8.1.2 Geometric transformations with non-regular limits . .; 8.1.3 Gradient flow; 8.2 Variations of GETMe smoothing; 8.2.1 Geometric triangle transformation-based smoothing .; 8.2.2 GETOpt; Bibliography; Index
0
8
8
8
8
SUMMARY OR ABSTRACT
Text of Note
"This book describes the mathematical theory of regularizing element transformations as foundation for mesh smoothing. It gives a thorough introduction to GETMe based mesh smoothing and its algorithms providing a framework to focus on efficiently improving minimal element quality, overal mesh quality, and mesh validity. It addresses the improvement of various types of meshes like planar, surface, volumetric, mixed, isotropic or anisotropic meshes and addresses aspects of combining mesh smoothign with topological mesh modifications"--
ACQUISITION INFORMATION NOTE
Source for Acquisition/Subscription Address
Taylor & Francis
Stock Number
9780429399626
OTHER EDITION IN ANOTHER MEDIUM
Title
GETME MESH SMOOTHING FRAMEWORK.
International Standard Book Number
0367023423
PARALLEL TITLE PROPER
Parallel Title
Geometric element transformation method mesh smoothing framework
TOPICAL NAME USED AS SUBJECT
Finite element method.
Geometry-- Data processing.
Subdivision surfaces (Geometry)
COMPUTERS / Computer Graphics / General
COMPUTERS / Operating Systems / General
Finite element method.
Geometry-- Data processing.
MATHEMATICS / Arithmetic
MATHEMATICS-- Numerical Analysis.
Subdivision surfaces (Geometry)
(SUBJECT CATEGORY (Provisional
COM-- 012000
COM-- 046000
MAT-- 004000
MAT-- 041000
UMB
DEWEY DECIMAL CLASSIFICATION
Number
518/
.
25
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QC20
.
7
.
F56
PERSONAL NAME - PRIMARY RESPONSIBILITY
Vartziotis, Dimitris
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Wipper, Joachim
ORIGINATING SOURCE
Date of Transaction
20200822090828.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
