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Towards Robust Algebraic Multigrid Methods for Nonsymmetric Problems (Hardcover, 1st ed. 2017)
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Towards Robust Algebraic Multigrid Methods for Nonsymmetric Problems (Hardcover, 1st ed. 2017)
Series: Springer Theses
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Total price: R1,772
Discovery Miles: 17 720
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This thesis presents a rigorous, abstract analysis of multigrid
methods for positive nonsymmetric problems, particularly suited to
algebraic multigrid, with a completely new approach to nonsymmetry
which is based on a new concept of absolute value for nonsymmetric
operators. Multigrid, and in particular algebraic multigrid, has
become an indispensable tool for the solution of discretizations of
partial differential equations. While used in both the symmetric
and nonsymmetric cases, the theory for the nonsymmetric case has
lagged substantially behind that for the symmetric case. This
thesis closes some of this gap, presenting a major and highly
original contribution to an important problem of computational
science. The new approach to nonsymmetry will be of interest to
anyone working on the analysis of discretizations of nonsymmetric
operators, even outside the context of multigrid. The presentation
of the convergence theory may interest even those only concerned
with the symmetric case, as it sheds some new light on and extends
existing results.
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