A Priori and A Posteriori Error Estimates of Streamline Diffusion Finite Element Method for Optimal Control Problem Governed by Convection Dominated Diffusion Equation-中国Betway体育网页登陆

摘要 Inthispaper,weinvestigateastreamlinediffusionfiniteelementapproxi-mationschemefortheconstrainedoptimalcontrolproblemgovernedbylinearcon-vectiondominateddiffusionequations.Weprovetheexistenceanduniquenessofthediscretizedscheme.Thenaprioriandaposteriorierrorestimatesarederivedforthestate,theco-stateandthecontrol.Threenumericalexamplesarepresentedtoillustrateourtheoreticalresults.

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A Priori and A Posteriori Error Estimates of Streamline Diffusion Finite Element Method for Optimal Control Problem Governed by Convection Dominated Diffusion Equation

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