Residual a posteriori error estimates for two-level finite element methods for the Navier-Stokes equations. (English) Zbl 0987.76053
Summary: We derive residual-based a posteriori error estimates for conforming finite element solutions of incompressible Navier-Stokes equations which are computed with four two-level methods. The a posteriori error estimates contain additional terms in comparison to the estimates obtained by the standard one-level method. The importance of these additional terms in the error estimates is investigated by studying their asymptotic behaviour. For optimally scaled meshes, these bounds are not of order higher than the order of convergence of discrete solution.
MSC:
| 76M10 | Finite element methods applied to problems in fluid mechanics |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
| 65N15 | Error bounds for boundary value problems involving PDEs |
Keywords:
residual-based a posteriori error estimates; conforming finite element; incompressible Navier-Stokes equations; two-level methods; optimally scaled meshes; convergenceReferences:
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