Mathematical Modelling of Non-stationary Processes in the Piecewise-Homogeneous Domains by Near-Boundary Element Method

摘要

A numerical-analytical approach to finding the physical scalar values (temperature, potential, pressure) or vector values (components of an electromagnetic field) in the piecewise-homogeneous domain of arbitrary shape with mixed boundary conditions and ideal contact conditions at the interface of the media has been considered. Using the indirect near-boundary element technique and time sequence scheme of the initial conditions, the developed software, computational experiments have been carried out to estimate the errors of the discretization of the near-boundary domains and the approximation of the mathematical model. The influence of piezoelectricity coefficients on pressure distribution in composite reservoirs has been studied.