A residual-based a posteriori error estimator for finite element discretizations of the steady incompressible Navier-Stokes equations in the primitive variable formulation is discussed. Though the estimator is similar to existing ones, an alternate derivation is presented, involving an abstract esti
Error estimates for MAC-like approximations to the linear Navier-Stokes equations
✍ Scribed by T. A. Porsching
- Publisher
- Springer-Verlag
- Year
- 1978
- Tongue
- English
- Weight
- 709 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0029-599X
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## Abstract We develop the energy norm __a posteriori__ error analysis of exactly divergence‐free discontinuous RT~__k__~/__Q__~__k__~ Galerkin methods for the incompressible Navier–Stokes equations with small data. We derive upper and local lower bounds for the velocity–pressure error measured in
We analyze a finite-element approximation of the stationary incompressible Navier-Stokes equations in primitive variables. This approximation is based on the nonconforming P I/Po element pair of Crouzeix/Raviart and a special upwind discretization of the convective term. An optimal error estimate in