Non-element method of solving 2D boundary problems defined on polygonal domains modeled by Navier equation. (English) Zbl 1120.74850
Summary: The paper presents a non-element method of solving boundary problems defined on polygonal domains modeled by corner points. To solve these problems a parametric integral equation system (PIES) is used. The system is characterized by a separation of the approximation of boundary geometry from the approximation of boundary functions. This feature makes it possible to effectively investigate the convergence of the obtained solutions with no need of performing the approximation of boundary geometry. The testing examples included confirm high accuracy of the solutions.
MSC:
74S15 | Boundary element methods applied to problems in solid mechanics |
74S30 | Other numerical methods in solid mechanics (MSC2010) |
74B05 | Classical linear elasticity |