This paper proposed the dual interpolation boundary face method with Hermite-type approximation for elasticity problems. Considering the physical relationship between displacement and traction, we also firstly present the Hermite-type approximation for elasticity problems. Compared with the standard moving least-squares (MLS) approximation, shape functions in Hermite-type approximation are directly constructed with Cartesian coordinates rather than parameter coordinates. This new approach can attain high accuracy and efficiency, the same as original dual interpolation boundary face method (DiBFM). Furthermore, the influence domain in the Hermite-type approximation can cover multiple edges. Thus, compared with the original DiBFM, this new scheme is more suitable for handling structures with thin walls and small features. Numerical examples with engineering background have illustrated the accuracy, efficiency and practicality of the method.

针对弹性问题，提出了一种采用Hermite型逼近的双插值界面法。考虑到位移和牵引力之间的物理关系，我们还首先提出了弹性问题的Hermite型近似。与标准移动最小二乘（MLS）逼近相比，Hermite型逼近中的形状函数直接由笛卡尔坐标而不是参数坐标构造。与原始的双插值边界面方法（DiBFM）相同，此新方法可以实现高精度和高效率。此外，Hermite型近似中的影响域可以覆盖多个边缘。因此，与原始的DiBFM相比，该新方案更适用于处理壁薄且特征小的结构。