The mixed finite element preconditioned conjugate gradient-Uzawa method for Stokes equations (Q2875379)

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scientific article; zbMATH DE number 6330435
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The mixed finite element preconditioned conjugate gradient-Uzawa method for Stokes equations
scientific article; zbMATH DE number 6330435

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    14 August 2014
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    Taylor-Hood pair
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    classical Uzawa method
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    inexact Uzawa method
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    The mixed finite element preconditioned conjugate gradient-Uzawa method for Stokes equations (English)
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    The authors consider solving the Stokes problem by a mixed finite element method based on a Taylor-Hood pair. In order to solve the linear algebraic counterpart, they use a preconditioned conjugate gradient Uzawa algorithm. Unfortunately, neither the theoretical arguments nor the numerical results carried out are able to clarify the convergence of the algorithm.
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