A posteriori error control in low-order finite element discretisations of incompressible stationary flow problems (Q2723518)

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scientific article; zbMATH DE number 1614788
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A posteriori error control in low-order finite element discretisations of incompressible stationary flow problems
scientific article; zbMATH DE number 1614788

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    A posteriori error control in low-order finite element discretisations of incompressible stationary flow problems (English)
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    5 July 2001
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    stationary Stokes problem
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    low-order finite element discretizations
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    a posteriori error estimates
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    adaptation procedure
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    Crouzeix-Raviart finite elements
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    nonconforming finite elements
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    smoothness conditions
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    The paper is devoted to the important problem of constructing numerical methods for stationary Stokes problem with an effective adaption procedure on the base of a posteriori error estimates under reasonable smoothness conditions. In this relation, the paper is a continuation of many previous investigations. The authors pay special attention to certain low-order finite element discretizations, in particular to Crouzeix-Raviart and nonconforming finite element methods. Possible generalizations to other flow problems are indicated. Among them -- a non-Newtonian case.
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