Mesh generation: application to finite elements
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Hoboken, NJ
Wiley [u.a.]
2008
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Item Description: | Includes index |
| Physical Description: | 848 S. Ill., graph. Darst. |
| ISBN: | 1848210299 9781848210295 |
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MARC
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| 250 | |a 2. ed. | ||
| 264 | 1 | |a Hoboken, NJ |b Wiley [u.a.] |c 2008 | |
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Record in the Search Index
| _version_ | 1804140646762545153 |
|---|---|
| adam_text | IMAGE 1
MESH GENERATION
APPLICATION TO FINITE ELEMENTS SECOND EDITION
/ PASCAL JEAN FREY PAUL-LOUIS GEORGE
)WILEY
IMAGE 2
CONTENTS
INTRODUCTION 11
SYMBOLS AND NOTATIONS 17
GENERAL DEFINITIONS 19
1.1 COVERING-UP AND TRIANGULATION 20
1.2 MESH, MESH ELEMENT, FINITE ELEMENT MESH 24
1.3 MESH DATA STRUCTURES 31
1.4 CONTROL SPACE AND NEIGHBORHOOD SPACE 39
1.5 MESH QUALITY AND MESH OPTIMALITY 41
BASIC STRUCTURES AND ALGORITHMS 45
2.1 WHY USE DATA STRUCTURES? 46
2.2 ELEMENTARY STRUCTURES 48
2.3 BASIC NOTIONS ABOUT COMPLEXITY 53
2.4 SORTING AND SEARCHING 56
2.5 ONE-DIMENSIONAL DATA STRUCTURES 62
2.6 TWO AND THREE-DIMENSIONAL DATA STRUCTURES 69
2.7 TOPOLOGICAL DATA STRUCTURES 74
2.8 ROBUSTNESS 77
2.9 OPTIMALITY OF AN IMPLEMENTATION 80
2.10 EXAMPLES OF GENERIC ALGORITHMS 83
A COMPREHENSIVE SURVEY OF MESH GENERATION METHODS 95
3.1 CLASSES OF METHODS 96
3.2 STRUCTURED MESH GENERATORS 97
3.2.1 ALGEBRAIC INTERPOLATION METHODS 98
3.2.2 PDE-BASED METHODS 100
3.2.3 MULTIBLOCK METHOD 101
3.2.4 PRODUCT METHOD (TOPOLOGY-BASED METHOD) 103
3.3 UNSTRUCTURED MESH GENERATORS 104
3.3.1 SPATIAL DECOMPOSITION METHODS 106
3.3.2 ADVANCING-FRONT METHOD 109
3.3.3 DELAUNAY TECHNIQUE 114
3.3.4 TENTATIVE COMPARISON OF THE THREE CLASSICAL METHODS . . .. 117
IMAGE 3
6 MESH GENERATION
3.3.5 OTHER METHODS 119
3.4 SURFACE MESHING 122
3.4.1 MESH GENERATION VIA A PARAMETRIC SPACE 122
3.4.2 IMPLICIT SURFACE TRIANGULATION 124
3.4.3 DIRECT SURFACE MESHING 125
3.4.4 SURFACE REMESHING 126
3.5 MESH ADAPTATION 128
3.6 PARALLEL UNSTRUCTURED MESHING 129
ALGEBRAIC, PDE AND MULTIBLOCK METHODS 133
4.1 ALGEBRAIC METHODS 133
4.1.1 TRIVIAL MAPPING FUNCTIONS 134
4.1.2 QUADRILATERAL OR TRIANGULAR ANALOGY 135
4.1.3 SURFACE MESHING 143
4.1.4 HEXAHEDRAL, PENTAHEDRAL OR TETRAHEDRAL ANALOGY 144 4.1.5 OTHER
ALGEBRAIC METHODS AND ALTERNATIVE METHODS 147 4.2 PDE-BASED METHODS /
149
4.2.1 BASIC IDEAS 149
4.2.2 SURFACE MESHING AND COMPLEX SHAPES 153
4.3 MULTIBLOCK METHOD 153
4.3.1 BASIC IDEAS 153
4.3.2 PARTITIONING THE DOMAIN 154
4.3.3 COMPUTATIONAL ISSUES AND APPLICATION EXAMPLES 155
QUADTREE-OCTREE BASED METHODS 163
5.1 OVERVIEW OF SPATIAL DECOMPOSITION METHODS 164
5.2 CLASSICAL TREE-BASED MESH GENERATION 171
5.3 GOVERNED TREE-BASED METHOD 189
5.4 OTHER APPROACHES 192
5.5 EXTENSIONS 195
ADVANCING-FRONT TECHNIQUE FOR MESH GENERATION 201
6.1 A CLASSICAL ADVANCING-FRONT TECHNIQUE 203
6.2 GOVERNED ADVANCING-FRONT METHOD 220
6.3 APPLICATION EXAMPLES 225
6.4 COMBINED APPROACHES 227
6.5 EXTENSIONS 230
DELAUNAY-BASED MESH GENERATION METHODS 235
7.1 VORONOI DIAGRAM AND DELAUNAY TRIANGULATION 236
7.2 CONSTRAINED TRIANGULATION 245
7.2.1 MAINTAINING A CONSTRAINED ENTITY 245
7.2.2 ENFORCING A CONSTRAINT 246
7.3 CLASSICAL DELAUNAY MESHING 250
7.3.1 SIMPLIFIED DELAUNAY TYPE TRIANGULATION METHOD 252 7.3.2 BOUNDARY
INTEGRITY AND DOMAIN IDENTIFICATION 254 7.3.3 FIELD POINT CREATION 255
IMAGE 4
CONTENTS 7
7.3.4 OPTIMIZATION 257
7.3.5 PRACTICAL ISSUES 258
7.3.6 APPLICATION EXAMPLES 259
7.4 OTHER METHODS 261
7.4.1 POINT INSERTION METHODS 262
7.4.2 FIELD POINT CREATION 262
7.4.3 BOUNDARY ENFORCEMENT 263
7.5 ISOTROPIC GOVERNED DELAUNAY MESHING 264
7.6 EXTENSIONS 267
7.6.1 WEIGHTED DELAUNAY TRIANGULATION 268
7.6.2 ANISOTROPIC DELAUNAY MESHING 268
7.6.3 SURFACE MESHING . 273
8 OTHER TYPES OF MESH GENERATION METHODS 275
8.1 PRODUCT METHOD 276
8.2 GRID OR PATTERN-BASED METHODS 280
8.3 OPTIMIZATION-BASED METHOD 283
8.4 QUADS BY MEANS OF TRIANGLE COMBINATION 290
8.5 QUADS BY MEANS OF A DIRECT METHOD 296
8.6 HEX MESHING 298
8.7 MISCELLANEOUS 300
9 DELAUNAY ADMISSIBILITY, MEDIAL AXIS AND APPLICATIONS 303 9.1
DELAUNAY-ADMISSIBLE SET OF SEGMENTS IN M 2 304
9.2 DELAUNAY-ADMISSIBLE SET OF SEGMENTS IN R 3 310
9.3 DELAUNAY-ADMISSIBLE SET OF TRIANGULAR FACES 312
9.4 MEDIAL AXIS 318
9.5 MID-SURFACE . . *. 325
9.6 APPLICATIONS 326
10 QUADRATIC FORMS AND METRICS 331
10.1 BILINEAR AND QUADRATIC FORMS 332
10.2 DISTANCES AND LENGTHS 337
10.3 METRIC-BASED OPERATIONS 342
10.4 METRIC CONSTRUCTION 350
10.4.1 PARAMETRIC SURFACE MESHING 351
10.4.2 FINITE ELEMENT SIMULATION WITH ERROR CONTROL 352
11 DIFFERENTIAL GEOMETRY 361
11.1 METRIC PROPERTIES OF CURVES AND ARCS 362
11.2 METRIC PROPERTIES OF A SURFACE 377
11.3 COMPUTATIONAL ISSUES ABOUT SURFACES 387
11.4 NON-LINEAR PROBLEMS 392
IMAGE 5
8 MESH GENERATION
12 CURVE MODELING 395
12.1 INTERPOLATION AND SMOOTHING TECHNIQUES 397
12.2 LAGRANGE AND HERMITE INTERPOLATION 400
12.3 EXPLICIT CONSTRUCTION OF A COMPOSITE CURVE 404
12.4 CONTROL POLYGON BASED METHODS 406
12.5 BEZIER CURVES 409
12.6 FROM COMPOSITE CURVES TO B-SPLINES 414
12.7 RATIONAL CURVES 423
12.8 CURVE DEFINITIONS AND NUMERICAL ISSUES 427
12.9 TOWARDS A PRAGMATIC CURVE DEFINITION? 431
13 SURFACE MODELING 435
13.1 SPECIFIC SURFACES 436
13.2 INTERPOLATION-BASED SURFACES 437
13.3 TENSOR PRODUCT AND CONTROL POLYHEDRON 442
13.4 TRIANGULAR PATCHES AND BEZIER TRIANGLES . . I. 446
13.5 OTHER TYPES OF PATCHES 450
13.6 COMPOSITE SURFACES 452
13.7 EXPLICIT CONSTRUCTION OF A COMPOSITE SURFACE 457
14 CURVE MESHING 463
14.1 MESHING A SEGMENT 464
14.2 MESHING A PARAMETRIC CURVE 471
14.3 CURVE MESHING USING A DISCRETE DEFINITION 483
14.4 RE-MESHING ALGORITHM 486
14.5 CURVES IN R 3 488
15 SURFACE MESHING AND RE-MESHING 491
15.1 CURVE MESHING (CURVE MEMBER OF A SURFACE) 492
15.2 FIRST STEPS IN SURFACE MESHING 493
15.3 A SINGLE PATCH 503
15.4 MULTI-PATCHES SURFACE (PATCH-DEPENDENT) 513
15.5 MULTI-PATCHES SURFACE (PATCH-INDEPENDENT) 515
15.6 ILL-DEFINED MULTI-PATCHES SURFACE 517
15.7 MOLECULAR SURFACES 519
15.8 SURFACE RECONSTRUCTION 521
15.9 DISCRETE SURFACE (RE-MESHING PROCESS) 523
16 MESHING IMPLICIT CURVES AND SURFACES 527
16.1 REVIEW OF IMPLICIT FUNCTIONS 528
16.2 IMPLICIT FUNCTION AND MESHING 533
16.3 IMPLICIT CURVE MESHING 537
16.4 IMPLICIT SURFACE MESHING 545
16.5 EXTENSIONS 556
IMAGE 6
CONTENTS 9
17 MESH MODIFICATIONS 559
17.1 MESH (GEOMETRIC) MODIFICATIONS 559
17.2 MERGING TWO MESHES 567
17.3 NODE CREATION AND NODE LABELING 573
17.4 RENUMBERING ISSUES 577
17.5 MISCELLANEOUS 587
18 MESH OPTIMIZATION 591
18.1 ABOUT ELEMENT MEASUREMENT 592
18.2 MESH QUALITY (CLASSICAL CASE) 596
18.3 MESH QUALITY (ISOTROPIC AND ANISOTROPIC CASE) 602
18.4 TOOLS FOR MESH OPTIMIZATION 606
18.5 STRATEGIES FOR MESH OPTIMIZATION 617
18.6 COMPUTATIONAL ISSUES 618
18.7 APPLICATION EXAMPLES 619
19 SURFACE MESH OPTIMIZATION 623
19.1 QUALITY MEASURES 624
19.2 DISCRETE EVALUATION OF SURFACE PROPERTIES 632
19.3 CONSTRUCTING A GEOMETRIC SUPPORT 643
19.4 OPTIMIZATION OPERATORS 645
19.5 OPTIMIZATION METHODS 654
19.6 APPLICATION EXAMPLES 656
20 A TOUCH OF FINITE ELEMENTS 663
20.1 INTRODUCTION TO A FINITE ELEMENT STYLE COMPUTATION 664
20.2 DEFINITION AND FIRST EXAMPLES OF FINITE ELEMENTS 668
20.3 ERROR ESTIMATION AND CONVERGENCE 672
20.4 STIFFNESS MATRIX AND RIGHT-HAND SIDE 677
20.5 A FEW EXAMPLES OF POPULAR FINITE ELEMENTS 690
21 MESH ADAPTATION AND IF-METHODS 693
21.1 CONTROL SPACE (BACKGROUND MESH) 694
21.2 ADAPTATION BY LOCAL MODIFICATIONS 701
21.3 GLOBAL ISOTROPIC ADAPTATION METHOD 708
21.4 GLOBAL ANISOTROPIC ADAPTATION METHOD 716
21.5 ADAPTATION 722
21.5.1 GENERAL FRAMEWORK OF A LOCAL ADAPTATION METHOD 722 21.5.2 GENERAL
FRAMEWORK OF A GLOBAL ADAPTATION METHOD 724 21.6 APPLICATION EXAMPLES
727
22 MESH ADAPTATION AND P OR IJP-METHODS 735
22.1 P 2 MESH 736
22.2 P-COMPATIBILITY 742
22.3 CONSTRUCTION OF P 2 ELEMENTS 747
22.4 ELEMENTS OF HIGHER DEGREE 750
22.5 P-METHODS AND /IP-METHODS 751
IMAGE 7
10 MESH GENERATION
23 MOVING OR DEFORMABLE MESHING TECHNIQUES 753
23.1 RIGID BODY MOTION 754
23.2 ALE METHODS 758
23.3 MESH DEFORMATION 764
23.4 INTERFACE TRACKING 767
24 PARALLEL COMPUTING AND MESHING ISSUES 775
24.1 PARTITION OF A DOMAIN 776
24.2 PARALLEL MESHING PROCESS 790
24.3 PARALLEL MESHING TECHNIQUES 792
BIBLIOGRAPHY 799
INDEX 843
|
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| author_facet | Frey, Pascal Jean George, Paul-Louis |
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| id | DE-604.BV024624873 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:03:17Z |
| institution | BVB |
| isbn | 1848210299 9781848210295 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018596646 |
| oclc_num | 836701426 |
| open_access_boolean | 1 |
| owner | DE-83 |
| owner_facet | DE-83 |
| physical | 848 S. Ill., graph. Darst. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Wiley [u.a.] |
| record_format | marc |
| spelling | Frey, Pascal Jean Verfasser aut Maillages Mesh generation application to finite elements Pascal Jean Frey ; Paul L. George 2. ed. Hoboken, NJ Wiley [u.a.] 2008 848 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes index Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Gittererzeugung (DE-588)4402542-7 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 s Gittererzeugung (DE-588)4402542-7 s 1\p DE-604 George, Paul-Louis Verfasser aut DE-603 pdf/application http://www.gbv.de/dms/hebis-darmstadt/toc/198886403.pdf 2008-11-30 kostenfrei Inhaltsverzeichnis GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018596646&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Frey, Pascal Jean George, Paul-Louis Mesh generation application to finite elements Finite-Elemente-Methode (DE-588)4017233-8 gnd Gittererzeugung (DE-588)4402542-7 gnd |
| subject_GND | (DE-588)4017233-8 (DE-588)4402542-7 |
| title | Mesh generation application to finite elements |
| title_alt | Maillages |
| title_auth | Mesh generation application to finite elements |
| title_exact_search | Mesh generation application to finite elements |
| title_full | Mesh generation application to finite elements Pascal Jean Frey ; Paul L. George |
| title_fullStr | Mesh generation application to finite elements Pascal Jean Frey ; Paul L. George |
| title_full_unstemmed | Mesh generation application to finite elements Pascal Jean Frey ; Paul L. George |
| title_short | Mesh generation |
| title_sort | mesh generation application to finite elements |
| title_sub | application to finite elements |
| topic | Finite-Elemente-Methode (DE-588)4017233-8 gnd Gittererzeugung (DE-588)4402542-7 gnd |
| topic_facet | Finite-Elemente-Methode Gittererzeugung |
| url | http://www.gbv.de/dms/hebis-darmstadt/toc/198886403.pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018596646&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT freypascaljean maillages AT georgepaullouis maillages AT freypascaljean meshgenerationapplicationtofiniteelements AT georgepaullouis meshgenerationapplicationtofiniteelements |
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