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KP\(_1\) acceleration scheme for inner iterations consistent with the weighted diamond differencing scheme for the transport equation in a two-dimensional geometry - MaRDI portal

KP\(_1\) acceleration scheme for inner iterations consistent with the weighted diamond differencing scheme for the transport equation in a two-dimensional geometry (Q1395214)

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scientific article; zbMATH DE number 1940607
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KP\(_1\) acceleration scheme for inner iterations consistent with the weighted diamond differencing scheme for the transport equation in a two-dimensional geometry
scientific article; zbMATH DE number 1940607

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    KP\(_1\) acceleration scheme for inner iterations consistent with the weighted diamond differencing scheme for the transport equation in a two-dimensional geometry (English)
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    29 June 2003
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    The author constructs a KP\(_1\) acceleration scheme consistent with the weighted diamond differencing scheme and designed to accelerate the inner iterative process for the transport equation. An algorithm solving the P\(_1\) system for accelerating corrections is proposed, based on the cyclic alternating-direction implicit method combined with a tridiagonal algorithm for the supplementary system of two-point equations.
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    transport equation
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    difference scheme
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    accelerating algorithm
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    inner iteration
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    convergence
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    discrete-ordinates method
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    convergence acceleration
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    cyclic alternating-direction implicit method
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