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Kraus, Johannes / Margenov, Svetozar

Robust Algebraic Multilevel Methods and Algorithms

Series:Radon Series on Computational and Applied Mathematics 5

    94,95 € / $133.00 / £71.99*

    eBook (PDF)
    Publication Date:
    September 2009
    Copyright year:
    2009
    ISBN
    978-3-11-021483-3
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    Overview

    Aims and Scope

    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.

    Supplementary Information

    Details

    24.0 x 17.0 cm
    x, 246 pages
    Language:
    English
    Type of Publication:
    Monograph
    Keyword(s):
    Linear Algebra; Multigrid Method; Partial Differential Equation

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

    Reviews

    "The book will nd its readers in the people who are interested in (algebraic) multigrid."
    Dietrich Braess in Zentralblatt MATH 1/2010

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