Abstract. The problem in a weak formulation for multiscale model of filtration-consolidation of moisture-saturated microporous media is obtained. Computational algorithms for its discretization are proposed. Explicit expressions of functional residual gradients for identification of model parameters by gradient methods are obtained.
Keywords: multiscale mathematical model, numerical solution, gradient methods of parameter identification.
Сергиенко Иван Васильевич,
академик НАН Украины, директор Института кибернетики им. В.М. Глушкова НАН Украины, Киев,
e-mail: aik@public.icyb.kiev.ua.
Дейнека Василий Степанович,
академик НАН Украины, Институт кибернетики им. В.М. Глушкова НАН Украины, Киев.