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Robust algebraic multilevel methods and algorithms

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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.

Author(s): Johannes Kraus, Svetozar Margenov
Series: Radon Series on Computational and Applied Mathematics
Publisher: de Gruyter
Year: 2009

Language: English
Pages: 256

Frontmatter
......Page 1
Contents......Page 7
1. Introduction......Page 11
2. Algebraic multilevel iteration methods......Page 39
3. Robust AMLI algorithms: Conforming linear finite elements......Page 67
4. Robust AMLI algorithms: Nonconforming linear finite elements......Page 87
5. Schur complement based multilevel preconditioners......Page 112
6. Algebraic multigrid (AMG)......Page 127
7. Preconditioning of Rannacher–Turek nonconforming FE systems......Page 146
8. AMLI algorithms for discontinuous Galerkin FE problems......Page 174
9. AMLI methods for coupled problems......Page 206
10. Practical issues......Page 229
Backmatter
......Page 247