indirect boundary elements method

In the framework of the refined theory of shells, which takes into account transverse shear deformation and all inertial components, the solution of the problem on  the steady-state vibration of the orthotropic doubly curved panel with the arbitrary number of absolutely rigid inclusions  of the arbitrary geometrical form and location is constructed. The inclusions have different types of connections with the panel and perform the translational motion in the normal direction to the middle surface of the panel. The external boundary of the panel is of the arbitrary geometrical configuration.

We compare the efficiency using indirect methods of boundary and near-boundary elements for building numerical-analytical solution of three-dimensional stationary heat conduction problems considering the difficult conditions heat and intensity of inner sources. We built discrete-continual model for problems with boundary conditions of the first, second and third kind using integral representations for the temperature. The computing experiments are presented to estimate errors of discretization and mathematical model approximation.