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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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2009] ©2009 |
Year of Publication: | 2009 |
Language: | English |
Series: | Radon Series on Computational and Applied Mathematics ,
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Physical Description: | 1 online resource (246 p.) |
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Kraus, Johannes, author. aut http://id.loc.gov/vocabulary/relators/aut Robust Algebraic Multilevel Methods and Algorithms / Johannes Kraus, Svetozar Margenov. Berlin ; Boston : De Gruyter, [2009] ©2009 1 online resource (246 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Radon Series on Computational and Applied Mathematics , 1865-3707 ; 5 Frontmatter -- Contents -- 1. Introduction -- 2. Algebraic multilevel iteration methods -- 3. Robust AMLI algorithms: Conforming linear finite elements -- 4. Robust AMLI algorithms: Nonconforming linear finite elements -- 5. Schur complement based multilevel preconditioners -- 6. Algebraic multigrid (AMG) -- 7. Preconditioning of Rannacher–Turek nonconforming FE systems -- 8. AMLI algorithms for discontinuous Galerkin FE problems -- 9. AMLI methods for coupled problems -- 10. Practical issues -- Backmatter restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Algebras, Linear Data processing. Lineare Algebra. Mehrgitterverfahren. Partielle Differentialgleichung. MATHEMATICS / Differential Equations / General. bisacsh Linear Algebra. Multigrid Method. Partial Differential Equation. Margenov, Svetozar, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) 9783110238471 Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2009 9783110219517 ZDB-23-DGG Title is part of eBook package: De Gruyter E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2009 9783110219524 Title is part of eBook package: De Gruyter E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2009 9783110219463 ZDB-23-DMN Title is part of eBook package: De Gruyter Radon Series on Applied Mathematics eBook-Package 9783110647174 print 9783110193657 https://doi.org/10.1515/9783110214833 https://www.degruyter.com/isbn/9783110214833 Cover https://www.degruyter.com/document/cover/isbn/9783110214833/original |
language |
English |
format |
eBook |
author |
Kraus, Johannes, Kraus, Johannes, Margenov, Svetozar, |
spellingShingle |
Kraus, Johannes, Kraus, Johannes, Margenov, Svetozar, Robust Algebraic Multilevel Methods and Algorithms / Radon Series on Computational and Applied Mathematics , Frontmatter -- Contents -- 1. Introduction -- 2. Algebraic multilevel iteration methods -- 3. Robust AMLI algorithms: Conforming linear finite elements -- 4. Robust AMLI algorithms: Nonconforming linear finite elements -- 5. Schur complement based multilevel preconditioners -- 6. Algebraic multigrid (AMG) -- 7. Preconditioning of Rannacher–Turek nonconforming FE systems -- 8. AMLI algorithms for discontinuous Galerkin FE problems -- 9. AMLI methods for coupled problems -- 10. Practical issues -- Backmatter |
author_facet |
Kraus, Johannes, Kraus, Johannes, Margenov, Svetozar, Margenov, Svetozar, Margenov, Svetozar, |
author_variant |
j k jk j k jk s m sm |
author_role |
VerfasserIn VerfasserIn VerfasserIn |
author2 |
Margenov, Svetozar, Margenov, Svetozar, |
author2_variant |
s m sm |
author2_role |
VerfasserIn VerfasserIn |
author_sort |
Kraus, Johannes, |
title |
Robust Algebraic Multilevel Methods and Algorithms / |
title_full |
Robust Algebraic Multilevel Methods and Algorithms / Johannes Kraus, Svetozar Margenov. |
title_fullStr |
Robust Algebraic Multilevel Methods and Algorithms / Johannes Kraus, Svetozar Margenov. |
title_full_unstemmed |
Robust Algebraic Multilevel Methods and Algorithms / Johannes Kraus, Svetozar Margenov. |
title_auth |
Robust Algebraic Multilevel Methods and Algorithms / |
title_alt |
Frontmatter -- Contents -- 1. Introduction -- 2. Algebraic multilevel iteration methods -- 3. Robust AMLI algorithms: Conforming linear finite elements -- 4. Robust AMLI algorithms: Nonconforming linear finite elements -- 5. Schur complement based multilevel preconditioners -- 6. Algebraic multigrid (AMG) -- 7. Preconditioning of Rannacher–Turek nonconforming FE systems -- 8. AMLI algorithms for discontinuous Galerkin FE problems -- 9. AMLI methods for coupled problems -- 10. Practical issues -- Backmatter |
title_new |
Robust Algebraic Multilevel Methods and Algorithms / |
title_sort |
robust algebraic multilevel methods and algorithms / |
series |
Radon Series on Computational and Applied Mathematics , |
series2 |
Radon Series on Computational and Applied Mathematics , |
publisher |
De Gruyter, |
publishDate |
2009 |
physical |
1 online resource (246 p.) Issued also in print. |
contents |
Frontmatter -- Contents -- 1. Introduction -- 2. Algebraic multilevel iteration methods -- 3. Robust AMLI algorithms: Conforming linear finite elements -- 4. Robust AMLI algorithms: Nonconforming linear finite elements -- 5. Schur complement based multilevel preconditioners -- 6. Algebraic multigrid (AMG) -- 7. Preconditioning of Rannacher–Turek nonconforming FE systems -- 8. AMLI algorithms for discontinuous Galerkin FE problems -- 9. AMLI methods for coupled problems -- 10. Practical issues -- Backmatter |
isbn |
9783110214833 9783110238570 9783110238471 9783110637205 9783110219517 9783110219524 9783110219463 9783110647174 9783110193657 |
issn |
1865-3707 ; |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA184 |
callnumber-sort |
QA 3184.2 K75 42009 |
url |
https://doi.org/10.1515/9783110214833 https://www.degruyter.com/isbn/9783110214833 https://www.degruyter.com/document/cover/isbn/9783110214833/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
518 - Numerical analysis |
dewey-full |
518.64 |
dewey-sort |
3518.64 |
dewey-raw |
518.64 |
dewey-search |
518.64 |
doi_str_mv |
10.1515/9783110214833 |
oclc_num |
497205654 |
work_keys_str_mv |
AT krausjohannes robustalgebraicmultilevelmethodsandalgorithms AT margenovsvetozar robustalgebraicmultilevelmethodsandalgorithms |
status_str |
n |
ids_txt_mv |
(DE-B1597)35973 (OCoLC)497205654 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2009 Title is part of eBook package: De Gruyter E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2009 Title is part of eBook package: De Gruyter E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2009 Title is part of eBook package: De Gruyter Radon Series on Applied Mathematics eBook-Package |
is_hierarchy_title |
Robust Algebraic Multilevel Methods and Algorithms / |
container_title |
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 |
author2_original_writing_str_mv |
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