The fast multipole boundary element method (FMBEM) is a powerful technique for solving large-scale problems. Its effectiveness heavily relies on the iterative solver, which in turn depends crucially on the performance of the preconditioner. Although a leaf-based preconditioner has proven effective in the single domain FMBEM (SFB), it encounters challenges in the multi-domain FMBEM (MFB).

中文翻译：

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多域快速多极边界元方法的新方法


快速多极边界元法（FMBEM）是解决大规模问题的强大技术。其有效性在很大程度上依赖于迭代求解器，而迭代求解器又很大程度上取决于预处理器的性能。尽管基于叶的预处理器已被证明在单域 FMBEM (SFB) 中有效，但它在多域 FMBEM (MFB) 中遇到了挑战。