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The Robust Multigrid Technique : For Black-Box Software / Sergey I. Martynenko

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Publisher: Berlin ; Boston : De Gruyter, 2017Copyright date: ©2017Description: 1 Online-Ressource (XIII, 198 Seiten) : IllustrationenISBN:
  • 9783110539264
  • 9783110537628
Subject(s): Additional physical formats: 9783110537550 | 9783110539271. | Erscheint auch als: The robust multigrid technique. Druck-Ausgabe Berlin : De Gruyter, 2017. XIII, 198 SeitenMSC: MSC: *65N55 | 65R20 | 45K05 | 65F10 | 65N12 | 65N50 | 35Q30 | 65-02 | 35J05 | 65Y05RVK: RVK: SK 920LOC classification:
  • QA297
DOI: DOI: 10.1515/9783110539264Online resources: Summary: This book presents a detailed description of a robust pseudomultigrid algorithm for solving (initial-)boundary value problems on structured grids in a black-box manner. To overcome the problem of robustness, the presented Robust Multigrid Technique (RMT) is based on the application of the essential multigrid principle in a single grid algorithm. It results in an extremely simple, very robust and highly parallel solver with close-to-optimal algorithmic complexity and the least number of problem-dependent components. Topics covered include an introduction to the mathematical principles of multigrid methods, a detailed description of RMT, results of convergence analysis and complexity, possible expansion on unstructured grids, numerical experiments and a brief description of multigrid software, parallel RMT and estimations of speed-up and efficiency of the parallel multigrid algorithms, and finally applications of RMT for the numerical solution of the incompressible Navier Stokes equations. Potential readers are graduate students and researchers working in applied and numerical mathematics as well as multigrid practitioners and software programmers. ContentsIntroduction to multigridRobust multigrid techniqueParallel multigrid methodsApplications of multigrid methods in computational fluid dynamicsOriginal version: Originalfassung: 2017PPN: PPN: 1012202585Package identifier: Produktsigel: ZDB-23-DMA | EBA-BACKALL | EBA-CL-MTPY | EBA-DGALL | EBA-EBACKALL | EBA-EBKALL | EBA-ECL-MTPY | EBA-EEBKALL | EBA-ESTMALL | EBA-STMALL | GBV-23-DGG-HSU | GBV-deGruyter-alles | PDA12STME | PDA13ENGE | PDA14ALL | PDA15STM | PDA18STMEE | PDA1ALL | PDA3STM | PDA5EBK | PDA7ENG | ZDB-23-DGG | ZDB-23-DMA
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2017

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