Approximation of the Stationary Statistical Properties of the Dynamical System Generated by the Two-Dimensional Rayleigh-Bénard Convection Problem
In this article, we consider a temporal linear semi-implicit approximation of the two-dimensional Rayleigh-Bénard convection problem. We prove that the stationary statistical properties as well as the global attractors of this linear semi-implicit scheme converge to those of the 2D Rayleigh-Bénard problem as the time step approaches zero. © 2011 World Scientific Publishing Company.
F. Tone and X. Wang, "Approximation of the Stationary Statistical Properties of the Dynamical System Generated by the Two-Dimensional Rayleigh-Bénard Convection Problem," Analysis and Applications, vol. 9, no. 4, pp. 421 - 446, World Scientific Publishing, Oct 2011.
The definitive version is available at https://doi.org/10.1142/S0219530511001935
Mathematics and Statistics
Keywords and Phrases
Discrete Gronwall Lemmas; Global Attractor; Rayleigh-Bénard Convection Problem; Semi-Implicit Euler Scheme; Stationary Statistical Properties
International Standard Serial Number (ISSN)
Article - Journal
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01 Oct 2011
National Science Foundation, Grant 1008852