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The inf-sup condition for the mapped \(Q_k-P_{k-1}^{\text{disc}}\) element in arbitrary space dimensions. (English) Zbl 1016.65073
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.

MSC:
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35Q30 Navier-Stokes equations
76M10 Finite element methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids
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