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中文摘要：
将一种新型的近似迭代技术——局部迭代融合到二维多层快速非均匀平面波算法,形成二维局部多层快速非均匀平面波算法,用于二维电磁散射问题的快速计算。多层快速非均匀平面波算法的计算复杂度等同于多层快速多极子方法,因此可用于电大尺寸问题的求解。由于其格林函数直接基于索末菲尔德积分,具有可以直接推广到分层媒质问题的优势。利用局部迭代技术可以进一步提高求解效率。数值结果验证了该方法的有效性。
英文摘要：
A novel approximative iteration technique - local iteration, is combined into two-dimensional Multilevel Fast Inhomogeneous Plane Wave Algorithm （MLFIPWA）, namely Local MLFIPWA （LMLFIPWA）, to solve 2D electromagnetic scattering problem efficiently. The computational complexity of MLFIPWA is the same as the multilevel fast multipole algorithm, so it can be used to solve large-scale problems. Since the Green＇s function is based on Sommerfeld integration, the MLFIPWA has the advantage of being directly expanded into layered medium problems. By applying a local iteration procedure, the efficiency can be further improved. Numerical results demonstrate the validity of this method.
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