Robust Algebraic Multilevel Methods and Algorithms / / Johannes Kraus, Svetozar Margenov.
This book deals with algorithms for the solution of linear systems of algebraic equations with large-scale sparse matrices, with a focus on problems that are obtained after discretization of partial differential equations using finite element methods. The authors provide a systematic presentation of...
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Superior document: | Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2009] ©2009 |
Year of Publication: | 2009 |
Language: | English |
Series: | Radon Series on Computational and Applied Mathematics ,
5 |
Online Access: | |
Physical Description: | 1 online resource (246 p.) |
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LEADER | 05920nam a22009375i 4500 | ||
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001 | 9783110214833 | ||
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020 | |a 9783110214833 | ||
024 | 7 | |a 10.1515/9783110214833 |2 doi | |
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084 | |a SK 500 |q SEPA |2 rvk |0 (DE-625)rvk/143243: | ||
100 | 1 | |a Kraus, Johannes, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
245 | 1 | 0 | |a Robust Algebraic Multilevel Methods and Algorithms / |c Johannes Kraus, Svetozar Margenov. |
264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2009] | |
264 | 4 | |c ©2009 | |
300 | |a 1 online resource (246 p.) | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
347 | |a text file |b PDF |2 rda | ||
490 | 0 | |a Radon Series on Computational and Applied Mathematics , |x 1865-3707 ; |v 5 | |
505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t 1. Introduction -- |t 2. Algebraic multilevel iteration methods -- |t 3. Robust AMLI algorithms: Conforming linear finite elements -- |t 4. Robust AMLI algorithms: Nonconforming linear finite elements -- |t 5. Schur complement based multilevel preconditioners -- |t 6. Algebraic multigrid (AMG) -- |t 7. Preconditioning of Rannacher–Turek nonconforming FE systems -- |t 8. AMLI algorithms for discontinuous Galerkin FE problems -- |t 9. AMLI methods for coupled problems -- |t 10. Practical issues -- |t Backmatter |
506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
520 | |a This book deals with algorithms for the solution of linear systems of algebraic equations with large-scale sparse matrices, with a focus on problems that are obtained after discretization of partial differential equations using finite element methods. The authors provide a systematic presentation of the recent advances in robust algebraic multilevel methods and algorithms, e.g., the preconditioned conjugate gradient method, algebraic multilevel iteration (AMLI) preconditioners, the classical algebraic multigrid (AMG) method and its recent modifications, namely AMG using element interpolation (AMGe) and AMG based on smoothed aggregation. The first six chapters can serve as a short introductory course on the theory of AMLI methods and algorithms. The next part of the monograph is devoted to more advanced topics, including the description of new generation AMG methods, AMLI methods for discontinuous Galerkin systems, looking-free algorithms for coupled problems etc., ending with important practical issues of implementation and challenging applications. This second part is addressed to some more experienced students and practitioners and can be used to complete a more advanced course on robust AMLI and AMG methods and their efficient application. This book is intended for mathematicians, engineers, natural scientists etc. | ||
530 | |a Issued also in print. | ||
538 | |a Mode of access: Internet via World Wide Web. | ||
546 | |a In English. | ||
588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) | |
650 | 0 | |a Algebras, Linear |x Data processing. | |
650 | 4 | |a Lineare Algebra. | |
650 | 4 | |a Mehrgitterverfahren. | |
650 | 4 | |a Partielle Differentialgleichung. | |
650 | 7 | |a MATHEMATICS / Differential Equations / General. |2 bisacsh | |
653 | |a Linear Algebra. | ||
653 | |a Multigrid Method. | ||
653 | |a Partial Differential Equation. | ||
700 | 1 | |a Margenov, Svetozar, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Backlist Complete English Language 2000-2014 PART1 |z 9783110238570 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Backlist Mathematics 2000-2014 (EN) |z 9783110238471 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Mathematics - 2000 - 2014 |z 9783110637205 |o ZDB-23-GMA |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2009 |z 9783110219517 |o ZDB-23-DGG |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2009 |z 9783110219524 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2009 |z 9783110219463 |o ZDB-23-DMN |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Radon Series on Applied Mathematics eBook-Package |z 9783110647174 |
776 | 0 | |c print |z 9783110193657 | |
856 | 4 | 0 | |u https://doi.org/10.1515/9783110214833 |
856 | 4 | 0 | |u https://www.degruyter.com/isbn/9783110214833 |
856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9783110214833/original |
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912 | |a 978-3-11-064717-4 Radon Series on Applied Mathematics eBook-Package | ||
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