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A FETI-like domain decomposition method for coupling finite elements and boundary elements in large-size problems of acoustic scattering

机译:声散射大问题中有限元与边界元耦合的类FETI域分解方法

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摘要

Numerical simulations of acoustic scattering in the frequency domain based on hybrid methods coupling finite elements and boundary elements are the most suited for dealing with problems involving wave propagation in inhomogeneous media. Furthermore, it is necessary to resort to high performance computing to effectively solve the large size problems. However, the direct coupling yields a linear system with a matrix which is partly dense and partly sparse and thus not adapted to high performance computing. To avoid this difficulty, we present a new iterative method constructed from a non overlapping domain decomposition technique.
机译:基于耦合有限元和边界元混合方法的频域声散射数值模拟最适合处理涉及非均匀介质中波传播的问题。此外,必须诉诸高性能计算以有效解决大尺寸问题。但是,直接耦合产生的线性系统的矩阵部分密集且部分稀疏,因此不适用于高性能计算。为避免此困难,我们提出了一种根据非重叠域分解技术构造的新的迭代方法。

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