Approximation of the Long-Term Dynamics of the Dynamical System Generated by the Two-Dimensional Thermohydraulics Equations
Year: 2013
International Journal of Numerical Analysis and Modeling, Vol. 10 (2013), Iss. 3 : pp. 509–535
Abstract
Pursuing our work in [18], [17], [20], [5], we consider in this article the two-dimensional thermohydraulics equations. We discretize these equations in time using the implicit Euler scheme and we prove that the global attractors generated by the numerical scheme converge to the global attractor of the continuous system as the time-step approaches zero.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2013-IJNAM-580
International Journal of Numerical Analysis and Modeling, Vol. 10 (2013), Iss. 3 : pp. 509–535
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 27
Keywords: Thermohydraulics equations discrete Gronwall lemmas implicit Euler scheme global attractors.