On the rate of convergence of the nonlinear Galerkin methods

Devulder, Christophe; Marion, Martine; Titi, Edriss S.

doi:10.1090/S0025-5718-1993-1160273-1

On the rate of convergence of the nonlinear Galerkin methods
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by Christophe Devulder, Martine Marion and Edriss S. Titi PDF

Math. Comp. 60 (1993), 495-514 Request permission

Abstract:

In this paper 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.

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