Computational grids: generation, adaptation, and solution strategies
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Washington, DC
Taylor & Francis
1997
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| Series: | Series in computational and physical processes in mechanics and thermal sciences
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 496 S. graph. Darst. |
| ISBN: | 1560326352 |
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MARC
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Record in the Search Index
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| adam_text | COMPUTATIONAL GRIDS GENERATION, ADAPTATION, AND SOLUTION STRATEGIES
GRAHAM F. CAREY THE UNIVERSITY OF TEXAS AT AUSTIN AUSTIN, TEXAS &L
TAYLOR &FRANCIS PUBLISHM SUICR I79X CONTENTS 1 GRID GENERATION 1 1.1
INTRODUCTION 1 1.2 ELEMENTARY GRID GENERATION CONCEPTS 2 1.3 NONUNIFORM
GRIDS AND MAPPING 9 1.4 INTERPOLATION TECHNIQUES 14 1.5 BLOCK-STRUCTURED
GRIDS 29 1.6 MESH SMOOTHING 33 1.7 NODE NUMBERING AND RE-ORDERING 35 1.8
DIFFERENTIAL EQUATION TECHNIQUES 43 1.9 GRAPHICS AND VISUALIZATION 52
1.10 GEOMETRIE COMPUTING/MODELING 59 1.11 EXERCISES 61 2 TRIANGULATION
65 2.1 INTRODUCTION 65 2.2 ADVANCING FRONT STRATEGIES 66 2.3 DELAUNAY
TRIANGULATION 69 2.4 DATA STRUCTURES 80 2.5 UNIFORM REFINEMENT 88 2.6
THREE DIMENSIONS 90 2.7 ITERATED FUNCTION SYSTEMS 99 2.8 SURFACE
TRIANGULATION 101 2.9 BOUNDARY-VALUE PROBLEM 103 2.10 DOMAIN
APPROXIMATION 107 2.11 PARTITIONING UNSTRUCTURED GRIDS 108 2.12
EXERCISES 111 3 ERRORS AND MESH SELECTION 115 3.1 INTRODUCTION 115 VII
VIII CONTENTS 3.2 REZONING AND IMBEDDED SUBGRIDS 118 3.3 BASIC ERROR
ESTIMATES 122 3.4 HIGHER-DIMENSIONAL ELEMENTS 133 3.5 LEAST SQUARES 136
3.6 FINITE DIFFERENCE TRUNCATION ERRORS 142 3.7 GALERKIN ESTIMATES 145
3.8 RICHARDSON EXTRAPOLATION 150 3.9 RESIDUAIS 154 3.10 SUPERCONVERGENCE
161 3.11 DOMAIN ERROR 168 3.12 PROJECTION BETWEEN GRIDS 172 3.13
POLLUTION AND ERRORS 174 3.14 EXERCISES 181 4 REFINEMENT ALGORITHMS:
IMPLEMENTATION 185 4.1 INTRODUCTION 185 4.2 ONE-DIMENSIONAL REFINEMENT
186 4.3 REFINEMENT IN TWO DIMENSIONS 190 4.4 DATA STRUCTURE 200 4.5
LEAST SQUARES AND REFINEMENT 205 4.6 HIGHER-DEGREE ELEMENTS AND
CONDENSATION 210 4.7 REFINEMENT CRITERIA 220 4.8 SINGULARITIES AND
REFINEMENT 234 4.9 TETRAHEDRAL REFINEMENT 240 4.10 CONCLUDING REMARKS
242 4.11 EXERCISES 243 5 SOLUTION ITERATION AND REFINEMENT 247 5.1
INTRODUCTION 247 5.2 ITERATIVE METHODS 249 5.3 ELEMENT-BY-ELEMENT (EBE)
ITERATION 262 5.4 NONLINEAR SYSTEMS AND GRIDS 272 5.5 DATA STRUCTURES
279 5.6 LOCAL ELLIPTIC PROJECTION 283 5.7 REFINEMENT AND UPWINDING 295
5.8 EXERCISES 301 6 MULTILEVELS AND DOMAIN DECOMPOSITION 305 6.1
INTRODUCTION 305 6.2 BASIC MULTIGRID 306 CONTENTS IX 6.3 ADAPTIVE
MULTIGRID 317 6.4 NONLINEAR MULTIGRID 319 6.5 HIGHER-ORDER METHODS 321
6.6 ADAPTIVE P AND HP METHODS 339 6.7 MULTILEVEL P AND H 347 6.8 THREE
DIMENSIONS 349 6.9 DOMAIN DECOMPOSITION 350 6.10 EXERCISES 363 7 MESH
REDISTRIBUTION 367 7.1 INTRODUCTION 367 7.2 GRADING FUNCTIONS AND
INTERPOLATION 368 7.3 MESH GRADING FOR BOUNDARY-VALUE PROBLEMS 373 7.4
BOUNDARY ELEMENT REDISTRIBUTION 380 7.5 GRID OPTIMIZATION 386 7.6 SHAPE
OPTIMIZATION 395 7.7 CONTACT PROBLEMS 398 7.8 EXERCISES 400 8 MOVING
GRIDS 403 8.1 INTRODUCTION 403 8.2 ADAPTIVE REFINEMENT AND RECOMBINATION
404 8.3 TIME-DEPENDENT MESH REDISTRIBUTION 409 8.4 REMESHING AND
INTERPOLATION 412 8.5 MOVING BOUNDARY PROBLEMS 419 8.6 COUPLED
MESH-SOLUTION 432 8.7 MATERIAL DISCONTINUITIES AND INTERFACES 443 8.8
METHOD OF CHARACTERISTICS 450 8.9 EXERCISES 453 BIBLIOGRAPHY 457 INDEX
491
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:11:48Z |
| institution | BVB |
| isbn | 1560326352 |
| language | English |
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| physical | XIII, 496 S. graph. Darst. |
| publishDate | 1997 |
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| publisher | Taylor & Francis |
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| series2 | Series in computational and physical processes in mechanics and thermal sciences |
| spelling | Carey, Graham F. Verfasser aut Computational grids generation, adaptation, and solution strategies Graham F. Carey Washington, DC Taylor & Francis 1997 XIII, 496 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Series in computational and physical processes in mechanics and thermal sciences Multigrid methods (Numerical analysis) Mehrgitterverfahren (DE-588)4038376-3 gnd rswk-swf Mehrgitterverfahren (DE-588)4038376-3 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007781582&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Carey, Graham F. Computational grids generation, adaptation, and solution strategies Multigrid methods (Numerical analysis) Mehrgitterverfahren (DE-588)4038376-3 gnd |
| subject_GND | (DE-588)4038376-3 |
| title | Computational grids generation, adaptation, and solution strategies |
| title_auth | Computational grids generation, adaptation, and solution strategies |
| title_exact_search | Computational grids generation, adaptation, and solution strategies |
| title_full | Computational grids generation, adaptation, and solution strategies Graham F. Carey |
| title_fullStr | Computational grids generation, adaptation, and solution strategies Graham F. Carey |
| title_full_unstemmed | Computational grids generation, adaptation, and solution strategies Graham F. Carey |
| title_short | Computational grids |
| title_sort | computational grids generation adaptation and solution strategies |
| title_sub | generation, adaptation, and solution strategies |
| topic | Multigrid methods (Numerical analysis) Mehrgitterverfahren (DE-588)4038376-3 gnd |
| topic_facet | Multigrid methods (Numerical analysis) Mehrgitterverfahren |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007781582&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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