The dual interpolation boundary face method with Hermite-type moving-least-squares approximation (DiBFM-HMLS), presented recently, has certain advantages in simulating the discontinuous fields. Based on the DiBFM-HMLS and the matrix condensation technique, we proposed a multi-domain method for 3D elasticity problems in this paper. This method ensures an accurate interpolation for the multi-domain models with short edges or small chamfers. In the multi-domain DiBFM-HMLS, the virtual points in each subdomain, not as collocation points in the boundary integral equation (BIE), are eliminated by the HMLS approximation separately. Then, only the interfacial source points are reserved by the matrix condensation technique. The node-to-node interfacial condition in previous research is unemployed; instead of the former, a node-to-element format is constructed based on the moving-least-squares approximation (MLS). This mapping scheme possesses the potential for free mesh in the interface. Several numerical examples are used to reflect these advantages mentioned above.

最近提出的Hermite型移动最小二乘近似(DiBFM-HMLS)对偶插值界面法在模拟不连续场方面具有一定的优势。本文基于DiBFM-HMLS和矩阵凝聚技术，提出了一种3D弹性问题的多域方法。该方法可确保对具有短边或小倒角的多域模型进行精确插值。在多域DiBFM-HMLS中，每个子域中的虚拟点，而不是边界积分方程（BIE）中的配置点，分别通过HMLS近似消除。然后，通过矩阵凝聚技术只保留界面源点。以往研究中的节点到节点界面条件是未使用的；而不是前者，基于移动最小二乘近似 (MLS) 构建节点到元素格式。这种映射方案具有在界面中自由网格的潜力。几个数值例子被用来反映上面提到的这些优点。