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The paper develops a mathematical model describing the behavior of the human cornea affected by intraocular pressure and external factors. The relevance of the study stems, particularly, from the urgent ophthalmological problems of hyperopia treatment. An effective remedy for hyperopia treatment is laser vision correction consisting in cornea deformation. The mathematical model enables the condition of the cornea after surgery to be estimated. The proposed model is based on the calculation of the cornea stress-strain state via the solution of a boundary value problem of elastostatics. [ABSTRACT FROM AUTHOR]

The paper deals with the development of algorithms for solving nonlinear problems of heat conduction in bodies consisting of layered metal composites. The nonlinearity of the problems is governed by the temperature dependence of the heat conductivity coefficients of the composite layer materials. Mathematical models and solution algorithms based on the boundary element method have been constructed for one-dimensional cases of heat distribution. [ABSTRACT FROM AUTHOR]