: Johannes Kraus, Svetozar Margenov
: Robust Algebraic Multilevel Methods and Algorithms
: Walter de Gruyter GmbH& Co.KG
: 9783110214833
: Radon Series on Computational and Applied MathematicsISSN
: 1
: CHF 117.10
:
: Allgemeines, Lexika
: English
: 256
: Wasserzeichen/DRM
: PC/MAC/eReader/Tablet
: PDF

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.

Johannes Kraus, Radon Institute for Computational and Applied Mathematics, Linz, Austria;
Svetozar Margenov, Institute for Parallel Processing, Sofia, Bulgaria.

Frontmatter2
Contents8
1. Introduction12
2. Algebraic multilevel iteration methods40
3. Robust AMLI algorithms: Conforming linear finite elements68
4. Robust AMLI algorithms: Nonconforming linear finite elements88
5. Schur complement based multilevel preconditioners113
6. Algebraic multigrid (AMG)128
7. Preconditioning of Rannacher–Turek nonconforming FE systems147
8. AMLI algorithms for discontinuous Galerkin FE problems175
9. AMLI methods for coupled problems207
10. Practical issues230
Bibliography248