| Document Type
|
:
|
BL
|
| Record Number
|
:
|
873316
|
| Main Entry
|
:
|
Vartziotis, Dimitris
|
| Title & Author
|
:
|
The GETMe mesh smoothing framework : : a geometric way to quality finite element meshes /\ Dimitris Vartziotis, Joachim Wipper.
|
| Publication Statement
|
:
|
Boca Raton :: CRC Press,, 2018.
|
| Page. NO
|
:
|
1 online resource (1 volume) :: illustrations (black and white)
|
| ISBN
|
:
|
0429399626
|
|
|
:
|
: 0429680082
|
|
|
:
|
: 0429680090
|
|
|
:
|
: 0429680104
|
|
|
:
|
: 9780429399626
|
|
|
:
|
: 9780429680083
|
|
|
:
|
: 9780429680090
|
|
|
:
|
: 9780429680106
|
|
|
:
|
0367023423
|
|
|
:
|
9780367023423
|
| Bibliographies/Indexes
|
:
|
Includes bibliographical references and index.
|
| Contents
|
:
|
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
|
|
|
:
|
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
|
|
|
:
|
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
|
|
|
:
|
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
|
|
|
:
|
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
|
| Abstract
|
:
|
"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"--
|
| Subject
|
:
|
Finite element method.
|
| Subject
|
:
|
Geometry-- Data processing.
|
| Subject
|
:
|
Subdivision surfaces (Geometry)
|
| Subject
|
:
|
COMPUTERS / Computer Graphics / General
|
| Subject
|
:
|
COMPUTERS / Operating Systems / General
|
| Subject
|
:
|
Finite element method.
|
| Subject
|
:
|
Geometry-- Data processing.
|
| Subject
|
:
|
MATHEMATICS / Arithmetic
|
| Subject
|
:
|
MATHEMATICS-- Numerical Analysis.
|
| Subject
|
:
|
Subdivision surfaces (Geometry)
|
| Dewey Classification
|
:
|
518/.25
|
| LC Classification
|
:
|
QC20.7.F56
|
| Added Entry
|
:
|
Wipper, Joachim
|
| Parallel Title
|
:
|
Geometric element transformation method mesh smoothing framework
|