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Information × Registration Number 0208U002805, 0107U002056 , R & D reports Title Numerical methods for the singulary perturbed and evolutional problems of physics and mechanics popup.stage_title Head Shynkarenko H. A., Khapko R. S., Registration Date 19-02-2008 Organization Ivan Franko Lviv National University popup.description2 I) Classes of correctly formulated variational problems of heat conductivity in thin-walled constructions, acoustic interaction of fluid with elastic bodies and shells, diffusions-аdvection-reaction of substance in incompressible medium , piezoelectricity and thermal stresses are investigated. The proof and converging charts of method of finite elements are built for the decision of dvo- and three-dimensional variational problems, in particular, with the use of exponention 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. II) Algorithms of an estimation of the sizes and a site of inclusion in in part - unlimited area on a plane are developed. The approached charts are built for the decision of inverse problems of reconstruction of cracks in in part - unlimited areas.We proved convergence of iterative process with supersquare-law convergence for the decision of the nonlinear equations in a case when in Lipshits's conditions positive integrated function is used. Product Description popup.authors popup.nrat_date 2020-04-02 Close