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Robust algebraic multilevel methods and algorithms / Johannes Kraus, Svetozar Margenov.

By: Contributor(s): Material type: TextTextSeries: Radon series on computational and applied mathematics ; 5.Publication details: Berlin ; New York : Walter De Gruyter, ©2009.Description: 1 online resource (x, 246 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783110214833
  • 3110214830
  • 1282372637
  • 9781282372634
  • 9786612372636
  • 661237263X
Subject(s): Genre/Form: Additional physical formats: Print version:: Robust algebraic multilevel methods and algorithms.DDC classification:
  • 512/.5 22
LOC classification:
  • QA184.2 .K75 2009
Other classification:
  • SK 500
  • SK 540
  • SK 910
  • SK 920
  • 510
Online resources:
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.
Summary: 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. Provides a systematic presentation of the recent advances in robust algebraic multilevel methods. Can be used for advanced courses on the topic.
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Includes bibliographical references (pages 237-244) and index.

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.

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. Provides a systematic presentation of the recent advances in robust algebraic multilevel methods. Can be used for advanced courses on the topic.

Print version record.

English.

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