TY - JOUR
T1 - Approximation of the Long-Term Dynamics of the Dynamical System Generated by the Two-Dimensional Thermohydraulics Equations
AU - B. Ewald & F. Tone
JO - International Journal of Numerical Analysis and Modeling
VL - 3
SP - 509
EP - 535
PY - 2013
DA - 2013/10
SN - 10
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/580.html
KW - Thermohydraulics equations, discrete Gronwall lemmas, implicit Euler scheme, global attractors.
AB - <p style="text-align: justify;">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.</p>