This paper presents a new parallel mesh generation method leading to subdomains of shape well-suited to Schur based domain decomposition methods such as the FETI and BDD solvers. Starting from a coarse mesh, subdomains meshes are created in parallel through hierarchical mesh refinement and morphing techniques. The proposed methodology aims at limiting the occurrence of known pathological situations (jagged interfaces, misplaced heterogeneity with respect to the interfaces, …) that penalize the convergence of the solver. Furthermore, it enables to distribute and parallelize the mesh generation step in the early phases of the whole analysis. Besides its good behavior towards convergence, the mesh generation is thus distributed. The method is assessed, on several academical and industrial test cases, for both its parallel efficiency when creating the mesh and its capability to generate decomposition resulting in less FETI iterations.

本文提出了一种新的并行网格生成方法，该方法可以生成形状的子域，非常适合基于Schur的域分解方法，例如FETI和BDD求解器。从粗糙的网格开始，通过层次化网格细化和变形技术并行创建子域网格。所提出的方法旨在限制不利于求解器收敛的已知病理情况（锯齿状接口，相对于接口放置的异质性……）的出现。此外，它可以在整个分析的早期阶段分配并并行化网格生成步骤。除了具有良好的收敛性外，还可以生成网格。在几个学术和工业测试案例中对该方法进行了评估，