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Decomposition in the optimization of systems with elliptic equations

 Аннотация

    Method of decomposition using introduction of macrovariables is used in conrtol problems for systems with distributed parameters, which are described by bundary value problem for partial differential equations of ellipic type. The method of decomposition is an iterative process, where at each step a coordinating problem with macrocontrols is solved and independent local problems for subsystems as well. The central prolems for the iterative process are studied: optimality condition and local monotonicity with respect to the functional.

 Ключевые слова

    decomposition; elliptic equations; macrocontrols; intermediate solution; local monotonicity
 


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