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Information × Registration Number 0207U002850, 0104U002136 , R & D reports Title Development of the mathematical methods, algorithms and codes for the heterogeneous modelling of the processes in nonhomogeneous mediums popup.stage_title Head Savula Yarema, Доктор фізико-математичних наук Registration Date 19-02-2007 Organization Ivan Franko Lviv National University popup.description2 New multiscale boundary value problems for heterogeneous media with thin inclusions has been formulated and investigated. Mathematical model of thermoplastic deformation of heterogeneous thin-walled spacial bodies with isotropic strengthening has been formulated. Discretization of this model is performewd on the basis of intermediate point algorithm. This allowed to gain unconditionally stable numerical scheme for solving the problem. Stability of proposed numerical scheme for nonlinear equation of heat conduction has been investigated. Dependence of numerical solution on choice of intermidiate point has been analized. Numerical algorithm for realization of multiscale mathematical model of advection-diffusion in media with thin inclusions has been improved. The possibility of contact boundary conditions enforcment on thin boundaries of inclusion has been considered. The variational problems on the Poincare-Steklov operator and methods of functional analysis is constructed. The symmetric algorithm of direct boudary element method for twodimensional problem of elasticity theory has been stated and analyzed. The different approaches of hypersingular integrals evaluation have been investigated. The results of numerical experiments have been verified for the proposed mathematical models and algorithms. Product Description popup.authors popup.nrat_date 2020-04-02 Close