岩土工程中的杂交边界点方法

改进了正则化的杂交边界点方法，提出了岩土工程中一种新的数值方法。该方法将基本解的源点布在边界上，避免了自由参数的选取，将修正变分原理同移动最小二乘法结合起来，不但有边界元降维的优点，而且还是一种真正的无网格方法，输入数据只是求解域上离散分布的点，后处理十分简便。同时它适合于处理岩土工程的无限域问题。数值算例表明，它是一种计算精度很高的数值方法，适合于岩土工程中的若干问题。

Hybrid boundary node method in geotechnical engineering

The regular hybrid boundary node method is improved and a new numerical method in geotechnical engineering is proposed in this paper. The source points of the fundamental solution are located on the boundary directly. There is no free parameter in the method which combines the modified variational function with the moving least squares approximation. It not only has the well-known dimension-reduction advantage of the boundary element method, but also is a true meshless method. Only randomly distributed nodal points on the bounding surface of the domain are required and the post-processing is very simple. At the same time, it is suitable for treatment of the semi-infinite space problems in geotechnical engineering. The numerical examples show that this method has high precision and is more suitable for computation in geotechnical engineering.