An iterative method with variable relaxation parameters for saddle-point problems (Q2784349)

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scientific article; zbMATH DE number 1732244
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An iterative method with variable relaxation parameters for saddle-point problems
scientific article; zbMATH DE number 1732244

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    23 April 2002
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    iterative methods
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    relaxation
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    convergence
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    inexact Uzawa method
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    saddle-point problems
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    Schur complement
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    An iterative method with variable relaxation parameters for saddle-point problems (English)
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    The authors suggest and analyze an inexact Uzawa method with variable relaxation parameters for solving linear saddle-point problems. This new method has an advantage over most existing Uzawa-type methods. In particular, it is shown that the new method is always convergent without any priori estimates on the spectrum of the preconditioned Schur complement matrix. Various numerical results show that the new proposed method performs better than previous ones.
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