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Volume 10, Issue 3
Approximation of the Long-Term Dynamics of the Dynamical System Generated by the Two-Dimensional Thermohydraulics Equations

B. Ewald & F. Tone

Int. J. Numer. Anal. Mod., 10 (2013), pp. 509-535.

Published online: 2013-10

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  • 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.

  • Keywords

Thermohydraulics equations, discrete Gronwall lemmas, implicit Euler scheme, global attractors.

  • AMS Subject Headings

65M12, 76D05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-10-509, author = {B. Ewald and F. Tone}, title = {Approximation of the Long-Term Dynamics of the Dynamical System Generated by the Two-Dimensional Thermohydraulics Equations}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2013}, volume = {10}, number = {3}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/580.html} }
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 -

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.

B. Ewald and F. Tone. (2013). Approximation of the Long-Term Dynamics of the Dynamical System Generated by the Two-Dimensional Thermohydraulics Equations. International Journal of Numerical Analysis and Modeling. 10 (3). 509-535. doi:
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