A domain decomposition technique is proposed which is capable of properly connecting arbitrary non-conforming interfaces. The strategy essentially consists in considering a fictitious zero-width interface between the non-matching meshes which is discretized using a Delaunay triangulation. Continuity is satisfied across domains through normal and tangential stresses provided by the discretized interface and inserted in the formulation in the form of Lagrange multipliers. The final structure of the global system of equations resembles the dual assembly of substructures where the Lagrange multipliers are employed to nullify the gap between domains. A new approach to handle floating subdomains is outlined which can be implemented without significantly altering the structure of standard industrial finite element codes. The effectiveness of the developed algorithm is demonstrated through a patch test example and a number of tests that highlight the accuracy of the methodology and independence of the results with respect to the framework parameters. Considering its high degree of flexibility and non-intrusive character, the proposed domain decomposition framework is regarded as an attractive alternative to other established techniques such as the mortar approach.

中文翻译：

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域接口方法：一种用于非一致性域分解问题的通用非侵入性技术

提出了一种域分解技术，该技术能够正确连接任意不符合要求的接口。该策略主要在于考虑使用 Delaunay 三角剖分离散化的不匹配网格之间的虚拟零宽度界面。通过离散化界面提供的法向应力和切向应力满足跨域的连续性，并以拉格朗日乘子的形式插入到公式中。全局方程组的最终结构类似于子结构的双重组装，其中使用拉格朗日乘数消除域之间的差距。概述了一种处理浮动子域的新方法，该方法可以在不显着改变标准工业有限元代码结构的情况下实施。所开发算法的有效性通过补丁测试示例和一些测试来证明，这些测试突出了方法的准确性和结果相对于框架参数的独立性。考虑到其高度的灵活性和非侵入性，所提出的域分解框架被认为是其他已建立技术（如迫击炮方法）的有吸引力的替代方案。