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The inf-sup condition for the mapped \(Q_k-P_{k-1}^{\text{disc}}\) element in arbitrary space dimensions - MaRDI portal

The inf-sup condition for the mapped \(Q_k-P_{k-1}^{\text{disc}}\) element in arbitrary space dimensions (Q1864159)

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scientific article; zbMATH DE number 1883383
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English
The inf-sup condition for the mapped \(Q_k-P_{k-1}^{\text{disc}}\) element in arbitrary space dimensions
scientific article; zbMATH DE number 1883383

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    The inf-sup condition for the mapped \(Q_k-P_{k-1}^{\text{disc}}\) element in arbitrary space dimensions (English)
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    17 March 2003
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    The authors consider the numerical solution of the Stokes and Navier Stokes equations by means of finite elements. They discuss the use of the \(Q_k-P_{k-1}^{\text{disc}}\) element and the stability of the process when calculating the velocity and pressure fields of incompressible flow. No actual physical illustration of the ideas is given.
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    Babuška-Brezzi condition
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    Stokes problem
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    finite element method
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    Navier Stokes equations
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    stability
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    incompressible flow
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