General theory of domain decomposition: Beyond Schwarz methods (Q2748416)

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scientific article; zbMATH DE number 1659406
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General theory of domain decomposition: Beyond Schwarz methods
scientific article; zbMATH DE number 1659406

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    General theory of domain decomposition: Beyond Schwarz methods (English)
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    11 June 2002
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    collocation
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    second-order elliptic equation
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    parallel computation
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    semidirect overlapping method
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    domain decomposition methods
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    Schwarz methods
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    The paper is part of a line of research devoted to developing a general theory of domain decomposition and the methods derived from it. Such general theory divides domain decomposition methods into two broad classes: direct and indirect approaches. In the present paper a general direct overlapping method called ``semidirect overlapping method'' which submises Schwarz methods (including multiplicative and additive methods) is introduced. The semidirect overlapping method is quite suitable for parallel implementation.
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