Long time stability and convergence for fully discrete nonlinear galerkin methods
- 1 January 1990
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 38 (4) , 201-229
- https://doi.org/10.1080/00036819008839963
Abstract
The aim of this paper is to analyze the fully discrete nonlinear Galerkin methods, which are well suited to the long time integration of dissipative partial differential equations. With the help of several time discrete Gronwall lemmas, we are able to prove L ∞(IR+,H α ) (α=0,1) stabilities of the fully discrete nonlinear Galerkin methods under a less restrictive time step constraint than that of the classical Galerkin methods.Keywords
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