二维弹性静力学的奇异杂交边界点法

杂交边界点法是一种边界型的无网格法，它以修正变分原理和移动最小二乘近似为基础，同时具有边界元法和无网格法的优良特性。本文在原有杂交边界点法的基础上，借鉴了边界元法处理奇异积分的方法，避免了正则杂交边界点法中计算结果对于标量因子的依赖性。数值结果表明，奇异杂交边界点法具有较高的精度和数值稳定性。

Singular Hybrid Boundary Node Method for 2D Elastostatics

As a boundary-type meshless method, the hybrid boundary node method is based on a modified variational principle and moving least squares (MLS) approximation, so it has the advantages of both BEM and meshless methods. In this paper, based on the original hybrid boundary node method, singular integrals is solved by using the similar treatment referred to BEM. Thus, the dependence of the numerical result on scale factor in regular hybrid boundary node method can be avoided. Numerical examples have shown high accuracy and high convergence rates of the presented scheme.