The AMORE scheme of “automatic meshing with overlapping and regular elements” has been recently proposed, in which the concept of overlapping finite elements plays a central role. In earlier work we focused on the overlapping of individual elements. In this paper, we present a technique to overlap finite element meshes so that elements from different meshes can overlap in any geometric form. Meshes for different parts of the analysis domain can be independently spanned, which is an effective way to adapt meshes to various geometric features and solution gradients. Hence, the meshing effort is much reduced and high solution accuracy is achieved. We formulate the new scheme, analyze its solvability and convergence, and propose an implementation. The solutions of some engineering problems are given to illustrate the use and performance of the new scheme.

的“的AMORE方案一utomatic米与eshing ö verlapping和- [R egular Ë最近提出了“元素”，其中重叠有限元的概念起着中心作用。在早期的工作中，我们专注于单个元素的重叠。在本文中，我们提出了一种重叠有限元网格的技术，以便来自不同网格的元素可以以任何几何形式重叠。可以独立扩展分析域不同部分的网格，这是使网格适应各种几何特征和求解梯度的有效方法。因此，大大减少了啮合工作量，并获得了较高的求解精度。我们制定新方案，分析其可解性和收敛性，并提出实施方案。给出了一些工程问题的解决方案，以说明新方案的使用和性能。