Метод оптимізації розподілу забруднень у повітрі для випадку декількох джерел

Abstract

The boundary problem is formulated, describing the processes of multicomponent pollutant transport in the air in the presence of point sources of substances. Using the concept of local potential, a theorem is formulated that allows developing an algorithm for solving the stated problem using the finite element method (FEM). The choice of the method is determined by its advantages: 1) FEM provides the closest solution in the form of an analytical expression; 2) FEM allows formalizing the procedure for satisfying boundary conditions by selecting a functional for which one or both boundary conditions are natural; 3) FEM allows constructing an approximation in the presence of features such as discontinuous coefficients or when the non-homogeneous term of the differential operator is a sum of δ-functions.