## A boundary element-free method (BEFM) for three-dimensional elasticity problems.(English)Zbl 1109.74372

Summary: This study combines the boundary integral equation (BIE) method and improved moving least-squares (IMLS) approximation to present a direct meshless boundary integral equation method, the boundary element-free method (BEFM) for three-dimensional elasticity. Based on the improved moving least-squares approximation and the boundary integral equation for three-dimensional elasticity, the formulae of the boundary element-free method are given, and the numerical procedure is also shown. Unlike other meshless boundary integral equation methods, the BEFM is a direct numerical method in which the basic unknown quantity is the real solution of the nodal variables, and the boundary conditions can be applied directly and easily, thus giving it a greater computational precision. Three selected numerical examples are presented to demonstrate the method.

### MSC:

 74S30 Other numerical methods in solid mechanics (MSC2010) 74S15 Boundary element methods applied to problems in solid mechanics 74B05 Classical linear elasticity

Mfree2D
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