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Fully discrete approximation of a velocity and temperature tracking problem for the Boussinesq equations with piecewise distributed controls
Author(s) -
Lee HyungChun,
Shin Byeong Chun
Publication year - 2005
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.655
Subject(s) - piecewise , mathematics , tracking (education) , exponential function , boussinesq approximation (buoyancy) , dynamics (music) , mathematical analysis , control theory (sociology) , control (management) , mechanics , computer science , physics , heat transfer , psychology , pedagogy , natural convection , artificial intelligence , rayleigh number , acoustics
In this article, we study the dynamics of a fully discrete piecewise optimal distributed control problem for the Boussinesq equations which models a velocity tracking over time coupled to thermal dynamics. We prove that the rates of velocity and‐ temperature tracking are exponential. We also give some computational results which reinforces the theoretical results derived. Copyright © 2005 John Wiley & Sons, Ltd.