Multigrid Methods

by Bramble, J. H., (James H.)

Type Book

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Title Statements

Full title :Multigrid Methods.

Edition Statements

Publication Date:©2018.

Publication Statements

Publisher(s):Routledge
Place of Publication:Boca Raton
Language:eng
Publication Date:©2018.

The Physical Object

Description:1 online resource (175 pages).

Edition Identifiers

ISBN:9781351429863, 1351429868
oclc:on1097123968

Cover -- Title Page -- Copyright Page -- Table of Contents -- Preface -- 1: Introduction to Iterative Methods -- General linear iterative processes -- Convergence acceleration -- Bibliographical Notes -- 2: Model problems and Sobolev spaces -- Weak solution -- Galerkin method -- A two level algorithm -- Bibliographical Notes -- 3: Abstract Multilevel Algorithms -- V-cycle algorithm -- Equivalence lemma -- Estimates for the additive preconditioner -- V-cycle estimates -- Other multigrid algorithms -- Theorem of Braess and Hackbusch -- Bibliographical Notes -- 4: Multigrid Algorithms with Nonnested Spaces and Varying Forms -- General multigrid algorithm -- V-cycle estimate -- W-cycle estimate -- Variable V-cycle estimate -- Variable V-cycle as a preconditioner -- Bibliographical Notes -- 5: Construction of Classes of Smoothers -- Additive smoother -- Multiplicative smoother -- Bibliographical Notes -- 6: Application to second order elliptic problems -- The Dirichlet problem -- Domains with curved boundaries -- Mesh refinements -- Bibliographical Notes -- 7: Perturbation of Forms -- Finite elements with quadrature -- Finite difference example -- Bibliographical Notes -- 8: Pseudodiff…