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首页> 外文期刊>IEEE Transactions on Magnetics >Efficient Solution to the Large Scattering and Radiation Problem Using the Improved Finite-Element Fast Multipole Method
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Efficient Solution to the Large Scattering and Radiation Problem Using the Improved Finite-Element Fast Multipole Method

机译：改进的有限元快速多极子方法有效解决大型散射和辐射问题

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摘要

The finite-element hybridized with the boundary integral (BI) method is a powerful technique to solve the complex scattering and radiation problems (where the fast multipole method is often employed to accelerate the calculation of the BI). However, this hybrid method suffers from a very slow convergence rate because the finite-element matrix is an ill-conditioned one. In this paper, we use the multi-frontal method to perform the triangular factorization of this ill-conditioned finite-element matrix. This improves the spectral property of the whole matrix and makes the hybrid method converge very fast. Through some numerical examples, including the scattering from a real-life aircraft model, the accuracy and efficiency of this improved hybrid method are demonstrated.
机译：与边界积分（BI）方法混合的有限元技术是解决复杂的散射和辐射问题的强大技术（其中通常采用快速多极方法来加速BI的计算）。但是，由于有限元矩阵是病态矩阵，因此该混合方法的收敛速度非常慢。在本文中，我们使用多前沿方法对该病态有限元矩阵进行三角分解。这改善了整个矩阵的光谱特性，并使混合方法收敛非常快。通过一些数值示例，包括来自真实飞机模型的散射，证明了这种改进的混合方法的准确性和效率。

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