Modeling domains using Bézier surfaces in plane boundary problems defined by the Navier–Lame equation with body forces

The paper presents an effective and powerful way of solving boundary problems modeled by the Navier–Lame equation with body forces. We considered domains of complex shapes defined using Bézier surfaces, which are well-known in computer graphics. Obtained results were compared with analytical and numerical solutions received by the boundary element method (BEM). The analysis of the results has confirmed reliability and effectiveness of the proposed approach and its applicability to a variety of practical problems.