Holdings: The robust multigrid technique

The robust multigrid technique: for Black-Box software

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Bibliographic Details
Main Author:	Martynenko, Sergey I. (Author)
Format:	Book
Language:	English
Published:	Berlin ; Boston De Gruyter [2017]
Subjects:	Randwertproblem Mehrgitterverfahren Partielle Differentialgleichung
Online Access:	http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110537550&searchTitles=true Inhaltsverzeichnis Inhaltsverzeichnis
Physical Description:	XIII, 198 Seiten Illustrationen, Diagramme 25 cm
ISBN:	9783110537550 3110537559

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MARC


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adam_text	CONTENTS PREFACE* V ACKNOWLEDGMENTS* VII 1 INTRODUCTION TO MULTIGRID * 1 1.1 NOTATIONS FOR VECTORS AND MATRICES * 1 1.2 BASIC DIRECT METHODS * 5 1.3 BASIC ITERATIVE METHODS * 9 1.4 ONE-DIMENSIONAL POISSON EQUATION * 14 1.5 TWO-DIMENSIONAL POISSON EQUATION * 25 1.6 TWO-GRID ALGORITHM ----- 33 1.7 CLASSICAL MULTIGRID METHODS * 43 1.8 HIGHER-ORDER DISCRETIZATION * 47 1.9 NONLINEAR PROBLEMS * 53 2 ROBUST MULTIGRID TECHNIQUE * 57 2.1 MOTIVATION AND TERMINOLOGY * 57 2.2 ANALYTIC PART OF THE TECHNIQUE * 59 2.3 COMPUTATIONAL PART OF THE TECHNIQUE * 61 2.3.1 GENERATION OF THE FINEST GRID * 61 2.3.2 TRIPLE COARSENING ----- 62 2.3.3 DISCRETIZATION ON THE MULTIGRID STRUCTURE * 68 2.3.4 MULTIGRID ITERATIONS ----- 75 2.4 APPROXIMATION OF THE BOUNDARY CONDITIONS * 77 2.5 A NUMERICAL ILLUSTRATION * 79 2.6 CONVERGENCE ANALYSIS AND COMPUTATIONAL WORK* 2.7 NUMERICAL EXPERIMENTS * 95 2.8 UNSTRUCTURED GRIDS ----- 105 2.9 REMARKS ON MULTIGRID SOFTWARE * 111 2.10 CONCLUSIONS ----- 118 3 PARALLEL MULTIGRID METHODS * 120 3.1 ALGEBRAIC APPROACH TO PARALLELIZATION * 120 3.2 GEOMETRIC APPROACH TO PARALLELIZATION * 128 3.3 COMBINED APPROACH TO PARALLELIZATION * 134 3.4 PARALLEL V-CYCLE * 138 3.5 CONCLUSIONS ----- 142 4 APPLICATIONS OF MULTIGRID METHODS IN COMPUTATIONAL FLUID DYNAMICS * 4.1 NAVIER-STOKES EQUATIONS * 143 4.2 STAGGERED GRIDS * 147 4.3 DISCRETIZATION OF CONVECTION-DIFFUSION EQUATIONS * 151 4.4 RESULTING SLAB ----- 159 4.5 UZAWA ITERATION * 161 4.6 VANKA ITERATION * 165 4.7 SIMPLE MULTIGRID ALGORITHM FOR NAVIER-STOKES EQUATIONS * 170 4.8 FORMAL DECOMPOSITION OF PRESSURE * 175 4.8.1 SIMPLIFIED NAVIER-STOKES EQUATIONS * 175 4.8.2 PRESSURE DECOMPOSITION * 178 4.8.3 EXPLICIT SCHEMES * 181 4.8.4 IMPLICIT SCHEMES * 185 4.9 FULL MULTIGRID ALGORITHM * 188 4.10 CONCLUSIONS ----- 194 BIBLIOGRAPHY * 195 INDEX * 197
any_adam_object	1
author	Martynenko, Sergey I.
author_GND	(DE-588)114139829X
author_facet	Martynenko, Sergey I.
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author_sort	Martynenko, Sergey I.
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spelling	Martynenko, Sergey I. (DE-588)114139829X aut The robust multigrid technique for Black-Box software Sergey I. Martynenko Berlin ; Boston De Gruyter [2017] © 2017 XIII, 198 Seiten Illustrationen, Diagramme 25 cm txt rdacontent n rdamedia nc rdacarrier Randwertproblem (DE-588)4048395-2 gnd rswk-swf Mehrgitterverfahren (DE-588)4038376-3 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Randwertproblem (DE-588)4048395-2 s Mehrgitterverfahren (DE-588)4038376-3 s DE-604 Walter de Gruyter GmbH & Co. KG (DE-588)10095502-2 pbl Erscheint auch als Online-Ausgabe, PDF 978-3-11-053926-4 Erscheint auch als Online-Ausgabe, EPUB 978-3-11-053762-8 X:MVB http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110537550&searchTitles=true B:DE-101 application/pdf http://d-nb.info/1127763563/04 Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029954473&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Martynenko, Sergey I. The robust multigrid technique for Black-Box software Randwertproblem (DE-588)4048395-2 gnd Mehrgitterverfahren (DE-588)4038376-3 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd
subject_GND	(DE-588)4048395-2 (DE-588)4038376-3 (DE-588)4044779-0
title	The robust multigrid technique for Black-Box software
title_auth	The robust multigrid technique for Black-Box software
title_exact_search	The robust multigrid technique for Black-Box software
title_full	The robust multigrid technique for Black-Box software Sergey I. Martynenko
title_fullStr	The robust multigrid technique for Black-Box software Sergey I. Martynenko
title_full_unstemmed	The robust multigrid technique for Black-Box software Sergey I. Martynenko
title_short	The robust multigrid technique
title_sort	the robust multigrid technique for black box software
title_sub	for Black-Box software
topic	Randwertproblem (DE-588)4048395-2 gnd Mehrgitterverfahren (DE-588)4038376-3 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd
topic_facet	Randwertproblem Mehrgitterverfahren Partielle Differentialgleichung
url	http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110537550&searchTitles=true http://d-nb.info/1127763563/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029954473&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT martynenkosergeyi therobustmultigridtechniqueforblackboxsoftware AT walterdegruytergmbhcokg therobustmultigridtechniqueforblackboxsoftware

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