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Two-level preconditioners of grid equations in pseudo-conjugate direction methods - MaRDI portal

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Two-level preconditioners of grid equations in pseudo-conjugate direction methods (Q1603200)

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scientific article; zbMATH DE number 1758783
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English
Two-level preconditioners of grid equations in pseudo-conjugate direction methods
scientific article; zbMATH DE number 1758783

    Statements

    Two-level preconditioners of grid equations in pseudo-conjugate direction methods (English)
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    2001
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    Two-level preconditioning methods are introduced for solving large sparse linear systems arising from the application of finite difference and finite element methods. Methods are developed for the two-level solution with the use of \(r\)-linear orderings as applied to pseudoconjugate direction methods, in particular, the biconjugate gradient method. The efficiency of the algorithm is illustrated by an example of the numerical solution of the algebraized equations of the drift-diffusion model of charge transport in semiconductors.
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    numerical example
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    two-level preconditioning methods
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    large sparse linear systems
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    finite difference
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    finite element
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    \(r\)-linear orderings
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    pseudoconjugate direction methods
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    biconjugate gradient method
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    algorithm
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    charge transport in semiconductors
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