The base problem in multidimensional boundary problems solving is to take into account domains which have different shapes. Most popular methods for solving of boundaq problems dacribed by Navier equation are FEM and BEM. Discretization process gives a possibility to take into consideration different domains and their properties, but it leads to necessity of preparation large number of input data required for modeling of boundaq problem. To avoid problems connected with traditional numerical methods it is necessary to create method without necessity of use fmite or boundary elements.
As a result of analytical modification of BIE an original parametric integral equation system (F’ES) was obtained. For curvilinear boundary shapes we use B-splin, Beziér [
], Hermit [
] curves. The cunres are vev effective, because they enable simple and effective defming of any domains in continuous way by means of mall number of B6zier or de Boor control points. To practically defme a nolveonal domain only corner points [
] are posed.
In this paper the non-element method for solving of boundary problems on multi-connected domains with different properties is proposed. In order to practical definition of 2D polygonal subregions only comer noints have been used. Continuity conditions are nosed on common boundaries in order to connect subregions together. A great number of testing examples confirms high effectiveness and accuracy of proposed method.