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math.NA2019★ 1 cited
Taylor expansion based fast Multipole Methods for 3-D Helmholtz equations in Layered Media
Bo Wanga, Duan Chen, Bo Zhang +3
In this paper, we develop fast multipole methods for 3D Helmholtz kernel in layered media. Two algorithms based on different forms of Taylor expansion of layered media Green's func…
math.NA2018
A hierarchical random compression method for kernel matrices
Duan Chen, Wei Cai
In this paper, we propose a hierarchical random compression method (HRCM) for kernel matrices in fast kernel summations. The HRCM combines the hierarchical framework of the H-matri…
math.NA2015
Highly Accurate Nyström Volume Integral Equation Method for the Maxwell equations for 3-D Scatters
Duan Chen, Wei Cai, Brian Zinser
In this paper, we develop highly accurate Nyström methods for the volume integral equation (VIE) of the Maxwell equation for 3-D scatters. The method is based on a formulation of t…