Husak V. Ways to improve the efficiency of numerical-analytical methods for solving boundary value problems for non-canonical domains

The thesis is devoted to the study of ways to improve the efficiency of numericalanalytical methods for solving boundary value problems for non-canonical domains. Boundary value problems for non-canonical domains (with complex geometry) are important for understanding and modeling various physical and technical phenomena. They are widely used in various fields of science and technology: physics (acoustics, fluid mechanics, thermal conductivity), engineering (development and improvement of structures, heat exchange systems, aircraft), electrical engineering (development and improvement of electronic devices and systems, modeling of thermal and electromagnetic fields). The use of new technologies, the growth of their complexity, as well as the need to develop optimal designs necessitate the improvement of numerical and analytical methods for solving boundary value problems. In this work, the possibility of using the conjugation by points of wave fields in the method of partial domains is investigated using the example of solving the following boundary value problems: - radiation of a flat piston in a wedge-shaped waveguide; - sound diffraction on a noise barrier; - wave scattering on finite wedge-shaped objects.