On the rate of convergence of the nonlinear Galerkin methods. (English) Zbl 0783.65053
Authors’ summary: We provide estimates to the rate of convergence of the nonlinear Galerkin approximation method. In particular, and by means of an illustrative example, we show that the nonlinear Galerkin method converges faster than the usual Galerkin method.
Reviewer: J.Albrycht (Poznań)
MSC:
| 65J15 | Numerical solutions to equations with nonlinear operators |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
| 34G20 | Nonlinear differential equations in abstract spaces |
| 35Q30 | Navier-Stokes equations |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
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