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Information × Registration Number 0206U002416, 0103U001926 , R & D reports Title Adaptive and stabilized approximations of finite element method for the evolutional problems of mechanics, biophysics and guard of environment popup.stage_title Head Shynkarenko Heorhiy Andriyovych, Registration Date 07-02-2006 Organization Ivan Franko Lviv National University popup.description2 The classes of the correctly formulated variational problems of motion of threads of shallow water, acoustic interaction of fluid with elastic bodies and shells, diffusion- advection- reaction of substance in incompressible medium with dominant advection and/or speed of motion of chemical reactions are investigated. The proof and converging charts of method of eventual elements are built for the decision of dvo- and three-dimensional variational problems, in particular, with the use of Raviart-Thomas approximations. Created a posteriori estimators of errors of FEM's approximations, strategies of h-adaptation of structure of approximations with the set permissible error, compatible stabilized schemes for syngularyty revolted problems with dominant convection. The object-oriented application packages are developed. Product Description popup.authors popup.nrat_date 2020-04-02 Close