岩土工程中的双互易杂交边界点法

杂交边界点法是一种边界类型的无网格法，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。将该方法同双重互易法结合，将问题的解分为通解和特解两部分，通解使用杂交边界点方法求解，特解则利用局部径向基函数近似。该方法输入数据只是求解域上离散的点，不需要额外的方程来计算域内物理量，后处理十分简便。数值算例表明，该方法是一种计算精度很高的数值方法，适合于岩土工程的若干问题。

Dual reciprocity hybrid boundary node method in geotechnical engineering

As a boundary-type meshless method, the hybrid boundary node method (HBNM) is based on a modified variational principle and moving least squares (MLS) approximation; so it has the advantages of both BEM and meshless methods. The dual reciprocity method (DRM) is combined with HBNM, in which the solution is divided into particular solution and general solution. The general solution is solved by means of HBNM; and the particular solution is approximated by using radial basis functions. Only randomly distributed nodal points on the bounding surface of the domain are required and it doesn’t need extra equations to compute internal parameters in the domain. The post-processing is very simple. The numerical examples show that this method has high precision and is more suitable for computation in geotechnical engineering.