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Mesh generation: application to finite elements

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Bibliographic Details
Main Authors:	Frey, Pascal Jean (Author), George, Paul-Louis (Author)
Format:	Book
Language:	English
Published:	Hoboken, NJ Wiley [u.a.] 2008
Edition:	2. ed.
Subjects:	Finite-Elemente-Methode Gittererzeugung
Links:	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
Item Description:	Includes index
Physical Description:	848 S. Ill., graph. Darst.
ISBN:	1848210299 9781848210295

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MARC


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Record in the Search Index

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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	Frey, Pascal Jean George, Paul-Louis
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language	English
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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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